From 0fe280934056685c3e159e93de2e59f4511c9a98 Mon Sep 17 00:00:00 2001
From: Ondra Lengal <ondra.lengal@gmail.com>
Date: Sun, 18 Oct 2026 23:19:24 +0200
Subject: [PATCH 1/4] Add GitHub Pages landing page

A static landing page in site/ (no build step, self-hosted fonts) and a
workflow that deploys it to GitHub Pages on pushes to main that touch
site/** or the workflow.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_013gtFQRPe1eSSpmA7EJ2KNY
---
 .github/workflows/pages.yml                   |   47 +
 site/.nojekyll                                |    0
 site/assets/apple-touch-icon.png              |  Bin 0 -> 4503 bytes
 site/assets/favicon-32.png                    |  Bin 0 -> 951 bytes
 site/assets/favicon.svg                       |   11 +
 site/assets/fonts/OFL.txt                     |   98 +
 .../fonts/bodoni-moda-italic-latin-ext.woff2  |  Bin 0 -> 28196 bytes
 .../fonts/bodoni-moda-italic-latin.woff2      |  Bin 0 -> 53756 bytes
 .../fonts/bodoni-moda-italic-math.woff2       |  Bin 0 -> 46620 bytes
 .../fonts/bodoni-moda-italic-symbols.woff2    |  Bin 0 -> 32488 bytes
 .../fonts/bodoni-moda-normal-latin-ext.woff2  |  Bin 0 -> 25020 bytes
 .../fonts/bodoni-moda-normal-latin.woff2      |  Bin 0 -> 46260 bytes
 .../fonts/bodoni-moda-normal-math.woff2       |  Bin 0 -> 39156 bytes
 .../fonts/bodoni-moda-normal-symbols.woff2    |  Bin 0 -> 26044 bytes
 .../instrument-sans-italic-latin-ext.woff2    |  Bin 0 -> 11648 bytes
 .../fonts/instrument-sans-italic-latin.woff2  |  Bin 0 -> 31828 bytes
 .../instrument-sans-normal-latin-ext.woff2    |  Bin 0 -> 11144 bytes
 .../fonts/instrument-sans-normal-latin.woff2  |  Bin 0 -> 30092 bytes
 .../fonts/jetbrains-mono-italic-greek.woff2   |  Bin 0 -> 4400 bytes
 .../jetbrains-mono-italic-latin-ext.woff2     |  Bin 0 -> 7972 bytes
 .../fonts/jetbrains-mono-italic-latin.woff2   |  Bin 0 -> 22228 bytes
 .../fonts/jetbrains-mono-normal-greek.woff2   |  Bin 0 -> 6836 bytes
 .../jetbrains-mono-normal-latin-ext.woff2     |  Bin 0 -> 11624 bytes
 .../fonts/jetbrains-mono-normal-latin.woff2   |  Bin 0 -> 31432 bytes
 .../fonts/noto-sans-math-normal-subset.woff2  |  Bin 0 -> 8376 bytes
 .../fonts/noto-sans-mono-normal-subset.woff2  |  Bin 0 -> 2328 bytes
 site/assets/og.png                            |  Bin 0 -> 91032 bytes
 site/index.html                               | 1677 +++++++++++++++++
 28 files changed, 1833 insertions(+)
 create mode 100644 .github/workflows/pages.yml
 create mode 100644 site/.nojekyll
 create mode 100644 site/assets/apple-touch-icon.png
 create mode 100644 site/assets/favicon-32.png
 create mode 100644 site/assets/favicon.svg
 create mode 100644 site/assets/fonts/OFL.txt
 create mode 100644 site/assets/fonts/bodoni-moda-italic-latin-ext.woff2
 create mode 100644 site/assets/fonts/bodoni-moda-italic-latin.woff2
 create mode 100644 site/assets/fonts/bodoni-moda-italic-math.woff2
 create mode 100644 site/assets/fonts/bodoni-moda-italic-symbols.woff2
 create mode 100644 site/assets/fonts/bodoni-moda-normal-latin-ext.woff2
 create mode 100644 site/assets/fonts/bodoni-moda-normal-latin.woff2
 create mode 100644 site/assets/fonts/bodoni-moda-normal-math.woff2
 create mode 100644 site/assets/fonts/bodoni-moda-normal-symbols.woff2
 create mode 100644 site/assets/fonts/instrument-sans-italic-latin-ext.woff2
 create mode 100644 site/assets/fonts/instrument-sans-italic-latin.woff2
 create mode 100644 site/assets/fonts/instrument-sans-normal-latin-ext.woff2
 create mode 100644 site/assets/fonts/instrument-sans-normal-latin.woff2
 create mode 100644 site/assets/fonts/jetbrains-mono-italic-greek.woff2
 create mode 100644 site/assets/fonts/jetbrains-mono-italic-latin-ext.woff2
 create mode 100644 site/assets/fonts/jetbrains-mono-italic-latin.woff2
 create mode 100644 site/assets/fonts/jetbrains-mono-normal-greek.woff2
 create mode 100644 site/assets/fonts/jetbrains-mono-normal-latin-ext.woff2
 create mode 100644 site/assets/fonts/jetbrains-mono-normal-latin.woff2
 create mode 100644 site/assets/fonts/noto-sans-math-normal-subset.woff2
 create mode 100644 site/assets/fonts/noto-sans-mono-normal-subset.woff2
 create mode 100644 site/assets/og.png
 create mode 100644 site/index.html

diff --git a/.github/workflows/pages.yml b/.github/workflows/pages.yml
new file mode 100644
index 0000000000..4797b7065e
--- /dev/null
+++ b/.github/workflows/pages.yml
@@ -0,0 +1,47 @@
+# Deploys the static landing page in site/ to GitHub Pages. No build step.
+#
+# One-time setup before the first run: in the repository settings, open
+# Settings -> Pages -> Build and deployment and set Source to "GitHub Actions".
+# Without that, the Configure Pages step fails. (Passing `enablement: true` to
+# actions/configure-pages would enable Pages automatically, but it needs a
+# token with admin rights; the default GITHUB_TOKEN does not have them.)
+#
+# After the first deploy, compare the page_url printed by the deploy step with
+# the canonical and og: URLs in site/index.html (https://fmlab-iis.github.io/AutoQ/).
+name: Deploy landing page
+
+on:
+  push:
+    branches: [main]
+    paths:
+      - "site/**"
+      - ".github/workflows/pages.yml"
+  workflow_dispatch:
+
+permissions:
+  contents: read
+  pages: write
+  id-token: write
+
+concurrency:
+  group: "pages"
+  cancel-in-progress: false
+
+jobs:
+  deploy:
+    environment:
+      name: github-pages
+      url: ${{ steps.deployment.outputs.page_url }}
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v4
+      - name: Configure Pages
+        uses: actions/configure-pages@v5
+      - name: Upload site
+        uses: actions/upload-pages-artifact@v3
+        with:
+          path: site
+      - name: Deploy to GitHub Pages
+        id: deployment
+        uses: actions/deploy-pages@v4
diff --git a/site/.nojekyll b/site/.nojekyll
new file mode 100644
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new file mode 100644
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+++ b/site/assets/favicon.svg
@@ -0,0 +1,11 @@
+<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 64 64">
+  <style>
+    rect { fill: #F5F5F0; }
+    text { fill: #1A1C21; }
+    path { stroke: #0B6B55; }
+    @media (prefers-color-scheme: dark) { rect { fill: #13171D; } text { fill: #E9E7E0; } path { stroke: #6CCBAA; } }
+  </style>
+  <rect width="64" height="64" rx="10"/>
+  <text x="32" y="47" text-anchor="middle" font-family="Didot, 'Bodoni 72', 'Bodoni Moda', Georgia, serif" font-style="italic" font-size="44">Q</text>
+  <path d="M32 52 V60" stroke-width="2.5"/>
+</svg>
diff --git a/site/assets/fonts/OFL.txt b/site/assets/fonts/OFL.txt
new file mode 100644
index 0000000000..cd8eb940fb
--- /dev/null
+++ b/site/assets/fonts/OFL.txt
@@ -0,0 +1,98 @@
+The web fonts in this folder are subsets served by Google Fonts and are
+used under the SIL Open Font License, Version 1.1:
+
+Bodoni Moda: Copyright 2020 The Bodoni Moda Project Authors (https://github.com/indestructible-type/Bodoni)
+Instrument Sans: Copyright 2022 The Instrument Sans Project Authors (https://github.com/Instrument/instrument-sans)
+JetBrains Mono: Copyright 2020 The JetBrains Mono Project Authors (https://github.com/JetBrains/JetBrainsMono)
+Noto Sans Math: Copyright 2022 Google LLC. All Rights Reserved.
+Noto Sans Mono: Copyright 2022 The Noto Project Authors (https://github.com/notofonts/latin-greek-cyrillic)
+
+The license is copied below, and is also available with a FAQ at:
+https://openfontlicense.org
+
+-----------------------------------------------------------
+SIL OPEN FONT LICENSE Version 1.1 - 26 February 2007
+-----------------------------------------------------------
+
+PREAMBLE
+The goals of the Open Font License (OFL) are to stimulate worldwide
+development of collaborative font projects, to support the font creation
+efforts of academic and linguistic communities, and to provide a free and
+open framework in which fonts may be shared and improved in partnership
+with others.
+
+The OFL allows the licensed fonts to be used, studied, modified and
+redistributed freely as long as they are not sold by themselves. The
+fonts, including any derivative works, can be bundled, embedded, 
+redistributed and/or sold with any software provided that any reserved
+names are not used by derivative works. The fonts and derivatives,
+however, cannot be released under any other type of license. The
+requirement for fonts to remain under this license does not apply
+to any document created using the fonts or their derivatives.
+
+DEFINITIONS
+"Font Software" refers to the set of files released by the Copyright
+Holder(s) under this license and clearly marked as such. This may
+include source files, build scripts and documentation.
+
+"Reserved Font Name" refers to any names specified as such after the
+copyright statement(s).
+
+"Original Version" refers to the collection of Font Software components as
+distributed by the Copyright Holder(s).
+
+"Modified Version" refers to any derivative made by adding to, deleting,
+or substituting -- in part or in whole -- any of the components of the
+Original Version, by changing formats or by porting the Font Software to a
+new environment.
+
+"Author" refers to any designer, engineer, programmer, technical
+writer or other person who contributed to the Font Software.
+
+PERMISSION & CONDITIONS
+Permission is hereby granted, free of charge, to any person obtaining
+a copy of the Font Software, to use, study, copy, merge, embed, modify,
+redistribute, and sell modified and unmodified copies of the Font
+Software, subject to the following conditions:
+
+1) Neither the Font Software nor any of its individual components,
+in Original or Modified Versions, may be sold by itself.
+
+2) Original or Modified Versions of the Font Software may be bundled,
+redistributed and/or sold with any software, provided that each copy
+contains the above copyright notice and this license. These can be
+included either as stand-alone text files, human-readable headers or
+in the appropriate machine-readable metadata fields within text or
+binary files as long as those fields can be easily viewed by the user.
+
+3) No Modified Version of the Font Software may use the Reserved Font
+Name(s) unless explicit written permission is granted by the corresponding
+Copyright Holder. This restriction only applies to the primary font name as
+presented to the users.
+
+4) The name(s) of the Copyright Holder(s) or the Author(s) of the Font
+Software shall not be used to promote, endorse or advertise any
+Modified Version, except to acknowledge the contribution(s) of the
+Copyright Holder(s) and the Author(s) or with their explicit written
+permission.
+
+5) The Font Software, modified or unmodified, in part or in whole,
+must be distributed entirely under this license, and must not be
+distributed under any other license. The requirement for fonts to
+remain under this license does not apply to any document created
+using the Font Software.
+
+TERMINATION
+This license becomes null and void if any of the above conditions are
+not met.
+
+DISCLAIMER
+THE FONT SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO ANY WARRANTIES OF
+MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT
+OF COPYRIGHT, PATENT, TRADEMARK, OR OTHER RIGHT. IN NO EVENT SHALL THE
+COPYRIGHT HOLDER BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
+INCLUDING ANY GENERAL, SPECIAL, INDIRECT, INCIDENTAL, OR CONSEQUENTIAL
+DAMAGES, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+FROM, OUT OF THE USE OR INABILITY TO USE THE FONT SOFTWARE OR FROM
+OTHER DEALINGS IN THE FONT SOFTWARE.
diff --git a/site/assets/fonts/bodoni-moda-italic-latin-ext.woff2 b/site/assets/fonts/bodoni-moda-italic-latin-ext.woff2
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+<!doctype html>
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+<head>
+<meta charset="utf-8">
+<meta name="viewport" content="width=device-width, initial-scale=1">
+<meta name="color-scheme" content="light dark">
+<title>AutoQ 2.0: quantum program verification</title>
+<meta name="description" content="AutoQ 2.0 is an automata-based C++ tool that verifies quantum programs. It checks Hoare triples {P} C {Q} over sets of pure quantum states, up to scaling, using tree automata.">
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+<meta property="og:description" content="An automata-based C++ tool for quantum program verification. Checks Hoare triples {P} C {Q} over sets of pure quantum states, up to scaling.">
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+<meta property="og:image:width" content="1200">
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+<meta name="twitter:image:alt" content="AutoQ 2.0 title with the Hoare triple {P} C {Q} and a verified two-qubit example.">
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+  font-display: swap;
+  src: url(assets/fonts/bodoni-moda-normal-latin.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+@font-face {
+  font-family: 'Instrument Sans';
+  font-style: italic;
+  font-weight: 400 700;
+  font-stretch: 100%;
+  font-display: swap;
+  src: url(assets/fonts/instrument-sans-italic-latin-ext.woff2) format('woff2');
+  unicode-range: U+0100-02BA, U+02BD-02C5, U+02C7-02CC, U+02CE-02D7, U+02DD-02FF, U+0304, U+0308, U+0329, U+1D00-1DBF, U+1E00-1E9F, U+1EF2-1EFF, U+2020, U+20A0-20AB, U+20AD-20C4, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+@font-face {
+  font-family: 'Instrument Sans';
+  font-style: italic;
+  font-weight: 400 700;
+  font-stretch: 100%;
+  font-display: swap;
+  src: url(assets/fonts/instrument-sans-italic-latin.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+@font-face {
+  font-family: 'Instrument Sans';
+  font-style: normal;
+  font-weight: 400 700;
+  font-stretch: 100%;
+  font-display: swap;
+  src: url(assets/fonts/instrument-sans-normal-latin-ext.woff2) format('woff2');
+  unicode-range: U+0100-02BA, U+02BD-02C5, U+02C7-02CC, U+02CE-02D7, U+02DD-02FF, U+0304, U+0308, U+0329, U+1D00-1DBF, U+1E00-1E9F, U+1EF2-1EFF, U+2020, U+20A0-20AB, U+20AD-20C4, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+@font-face {
+  font-family: 'Instrument Sans';
+  font-style: normal;
+  font-weight: 400 700;
+  font-stretch: 100%;
+  font-display: swap;
+  src: url(assets/fonts/instrument-sans-normal-latin.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+@font-face {
+  font-family: 'JetBrains Mono';
+  font-style: italic;
+  font-weight: 400;
+  font-display: swap;
+  src: url(assets/fonts/jetbrains-mono-italic-greek.woff2) format('woff2');
+  unicode-range: U+0370-0377, U+037A-037F, U+0384-038A, U+038C, U+038E-03A1, U+03A3-03FF;
+}
+@font-face {
+  font-family: 'JetBrains Mono';
+  font-style: italic;
+  font-weight: 400;
+  font-display: swap;
+  src: url(assets/fonts/jetbrains-mono-italic-latin-ext.woff2) format('woff2');
+  unicode-range: U+0100-02BA, U+02BD-02C5, U+02C7-02CC, U+02CE-02D7, U+02DD-02FF, U+0304, U+0308, U+0329, U+1D00-1DBF, U+1E00-1E9F, U+1EF2-1EFF, U+2020, U+20A0-20AB, U+20AD-20C4, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+@font-face {
+  font-family: 'JetBrains Mono';
+  font-style: italic;
+  font-weight: 400;
+  font-display: swap;
+  src: url(assets/fonts/jetbrains-mono-italic-latin.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+@font-face {
+  font-family: 'JetBrains Mono';
+  font-style: normal;
+  font-weight: 400 700;
+  font-display: swap;
+  src: url(assets/fonts/jetbrains-mono-normal-greek.woff2) format('woff2');
+  unicode-range: U+0370-0377, U+037A-037F, U+0384-038A, U+038C, U+038E-03A1, U+03A3-03FF;
+}
+@font-face {
+  font-family: 'JetBrains Mono';
+  font-style: normal;
+  font-weight: 400 700;
+  font-display: swap;
+  src: url(assets/fonts/jetbrains-mono-normal-latin-ext.woff2) format('woff2');
+  unicode-range: U+0100-02BA, U+02BD-02C5, U+02C7-02CC, U+02CE-02D7, U+02DD-02FF, U+0304, U+0308, U+0329, U+1D00-1DBF, U+1E00-1E9F, U+1EF2-1EFF, U+2020, U+20A0-20AB, U+20AD-20C4, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+@font-face {
+  font-family: 'JetBrains Mono';
+  font-style: normal;
+  font-weight: 400 700;
+  font-display: swap;
+  src: url(assets/fonts/jetbrains-mono-normal-latin.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+@font-face {
+  font-family: 'Noto Sans Math';
+  font-style: normal;
+  font-weight: 400;
+  font-display: swap;
+  src: url(assets/fonts/noto-sans-math-normal-subset.woff2) format('woff2');
+}
+@font-face {
+  font-family: 'Noto Sans Mono';
+  font-style: normal;
+  font-weight: 400;
+  font-stretch: 100%;
+  font-display: swap;
+  src: url(assets/fonts/noto-sans-mono-normal-subset.woff2) format('woff2');
+  unicode-range: U+2b, U+3c-3e, U+7c, U+ac, U+338, U+2032, U+2102, U+2112, U+2200, U+2203-2204, U+2208-2209, U+2211-2212, U+2216, U+221a, U+2227-2228, U+222a, U+2260, U+2264-2265, U+226e-2271, U+2286, U+2288, U+2295, U+2297, U+27e8-27e9;
+}
+:root {
+  --paper: #F5F5F0;
+  --paper-deep: #EAEAE3;
+  --paper-lift: #FBFBF8;
+  --ink: #1A1C21;
+  --ink-2: #444851;
+  --ink-3: #5C6068;
+  --rule: #D3D3CA;
+  --control: #82858A;
+  --accent: #0B6B55;
+  --accent-wash: rgba(11, 107, 85, .10);
+  --fail: #A3262F;
+  --on-ink: #F5F5F0;
+
+  --serif: "Bodoni Moda", "Bodoni 72", Didot, "Noto Serif Display", Georgia, serif;
+  --math: "Noto Sans Math", "Bodoni Moda", "STIX Two Text", Cambria, "DejaVu Serif", Georgia, "STIX Two Math", "Cambria Math", serif;
+  --sans: "Instrument Sans", "Helvetica Neue", Helvetica, Arial, system-ui, sans-serif;
+  --mono: "JetBrains Mono", "Noto Sans Mono", ui-monospace, SFMono-Regular, Menlo, Consolas, monospace;
+
+  --measure: 40rem;
+  --side: 16.5rem;
+  --gutter: clamp(16px, 4vw, 48px);
+  color-scheme: light;
+}
+@media (prefers-color-scheme: dark) {
+  :root:not([data-theme="light"]) {
+    --paper: #13171D;
+    --paper-deep: #1C2129;
+    --paper-lift: #171C23;
+    --ink: #E9E7E0;
+    --ink-2: #BEBCB5;
+    --ink-3: #9D9C96;
+    --rule: #2F3641;
+    --control: #6E6F6D;
+    --accent: #6CCBAA;
+    --accent-wash: rgba(108, 203, 170, .12);
+    --fail: #F2958F;
+    --on-ink: #13171D;
+    color-scheme: dark;
+  }
+}
+:root[data-theme="dark"] {
+  --paper: #13171D;
+  --paper-deep: #1C2129;
+  --paper-lift: #171C23;
+  --ink: #E9E7E0;
+  --ink-2: #BEBCB5;
+  --ink-3: #9D9C96;
+  --rule: #2F3641;
+  --control: #6E6F6D;
+  --accent: #6CCBAA;
+  --accent-wash: rgba(108, 203, 170, .12);
+  --fail: #F2958F;
+  --on-ink: #13171D;
+  color-scheme: dark;
+}
+
+*, *::before, *::after { box-sizing: border-box; }
+[hidden] { display: none !important; }
+html { -webkit-text-size-adjust: 100%; scroll-behavior: smooth; scroll-padding-top: 4.5rem; }
+body {
+  margin: 0;
+  background: var(--paper);
+  color: var(--ink);
+  font: 400 1.0625rem/1.65 var(--sans);
+  font-kerning: normal;
+  font-variation-settings: "opsz" 8;
+  text-rendering: optimizeLegibility;
+  overflow-wrap: break-word;
+}
+img, svg { max-width: 100%; }
+p { margin: 0 0 1.1em; }
+a {
+  color: inherit;
+  text-decoration-line: underline;
+  text-decoration-color: var(--accent);
+  text-decoration-thickness: 1px;
+  text-underline-offset: .22em;
+}
+a:hover { color: var(--accent); text-decoration-thickness: 2px; }
+:focus-visible { outline: 2px solid var(--accent); outline-offset: 3px; border-radius: 2px; }
+code, pre, kbd { font-family: var(--mono); font-variant-ligatures: none; font-feature-settings: "liga" 0, "calt" 0; }
+:not(pre) > code { font-size: .875em; padding: .05em .3em; background: var(--paper-deep); border-radius: 2px; white-space: nowrap; }
+:not(pre) > code.long, .side code { white-space: normal; }
+.m { font-family: var(--math); font-size: 1.1em; font-synthesis: none; white-space: nowrap; letter-spacing: .01em; }
+.m i { font-style: italic; }
+.m sub { font-size: .62em; font-style: italic; vertical-align: -.35em; line-height: 0; }
+.sr-only { position: absolute; width: 1px; height: 1px; padding: 0; margin: -1px; overflow: hidden; clip: rect(0 0 0 0); white-space: nowrap; border: 0; }
+.skip { position: absolute; left: var(--gutter); top: -3rem; background: var(--ink); color: var(--paper); padding: .5rem .9rem; z-index: 20; text-decoration: none; }
+.skip:focus { top: .5rem; }
+
+.wrap { max-width: 1240px; margin-inline: auto; padding-inline: var(--gutter); }
+
+/* ---------- masthead ---------- */
+.masthead {
+  position: sticky; top: 0; z-index: 10;
+  background: color-mix(in srgb, var(--paper) 90%, transparent);
+  -webkit-backdrop-filter: blur(8px); backdrop-filter: blur(8px);
+  border-bottom: 1px solid var(--rule);
+}
+.masthead .wrap { display: flex; align-items: center; gap: 1.25rem; height: 3.5rem; }
+.nav { flex: 1 1 auto; min-width: 0; display: flex; justify-content: flex-end; }
+.wordmark { font: italic 500 1.375rem/1 var(--serif); text-decoration: none; color: var(--ink); white-space: nowrap; }
+.wordmark:hover { color: var(--ink); }
+.nav ul { display: flex; align-items: center; gap: 1.6rem; list-style: none; margin: 0; padding: .4rem .2rem; font-size: .9375rem; overflow-x: auto; scrollbar-width: none; }
+.nav ul::-webkit-scrollbar { display: none; }
+.nav a { text-decoration: none; color: var(--ink-2); white-space: nowrap; }
+.nav a:hover { color: var(--ink); text-decoration: underline; text-decoration-color: var(--accent); }
+.masthead .gh { flex: none; color: var(--ink); font-weight: 600; font-size: .9375rem; text-decoration: none; white-space: nowrap; }
+.masthead .gh:hover { text-decoration: underline; text-decoration-color: var(--accent); }
+.theme { flex: none; display: inline-grid; place-items: center; width: 2.25rem; height: 2.25rem; padding: 0; color: var(--ink-2); background: none; border: 1px solid var(--control); border-radius: 2px; cursor: pointer; }
+.theme:hover { color: var(--ink); border-color: var(--ink-2); }
+.theme svg { width: 1.05rem; height: 1.05rem; }
+@media (max-width: 1000px) {
+  .masthead .wrap { gap: .9rem; }
+  .nav { justify-content: flex-start; }
+  .nav ul { gap: 1.15rem; padding-right: 2rem; -webkit-mask-image: linear-gradient(to right, #000 calc(100% - 2.25rem), transparent); mask-image: linear-gradient(to right, #000 calc(100% - 2.25rem), transparent); }
+}
+
+/* ---------- hero ---------- */
+.hero { padding-block: clamp(2.5rem, 5vw, 4rem) clamp(3.5rem, 6vw, 5rem); }
+.hero .wrap { display: grid; grid-template-columns: 5rem minmax(0, 1fr); column-gap: 2.5rem; }
+.hero .inner { grid-column: 2; display: grid; grid-template-columns: minmax(0, 1fr) minmax(0, 28rem); column-gap: 3.5rem; align-items: end; }
+.titling { grid-column: 1; }
+.tagline .pp { font-variation-settings: "opsz" 6; font-weight: 600; letter-spacing: .02em; }
+.intro { grid-column: 2; }
+.hero h1 { font: 500 clamp(3.25rem, 7vw, 5.75rem)/.95 var(--serif); font-variation-settings: "opsz" 24; white-space: nowrap; letter-spacing: -.012em; margin: 0; }
+.hero .tagline { font: italic 400 clamp(1.25rem, 2.2vw, 1.75rem)/1.3 var(--serif); font-variation-settings: "opsz" 10; color: var(--ink-2); margin: 1rem 0 0; max-width: 24ch; }
+.triple {
+  grid-column: 1;
+  align-self: start;
+  margin: clamp(2.5rem, 4.5vw, 3.5rem) 0 0;
+  display: grid;
+  grid-template-columns: auto auto auto minmax(0, 1fr);
+  column-gap: .34em;
+  --tf: clamp(4.1rem, 8vw, 7.6rem);
+  font-size: var(--tf);
+  line-height: 1;
+}
+.triple .part { display: contents; }
+.triple .glyph { grid-row: 1; font-family: var(--serif); font-weight: 400; white-space: nowrap; font-variation-settings: normal; font-optical-sizing: auto; }
+.triple .glyph i { font-style: italic; font-weight: 400; padding-right: .04em; }
+.triple .br { font-weight: 400; color: var(--ink-2); }
+.triple .p .glyph, .triple .p .lead, .triple .p .lbl { grid-column: 1; }
+.triple .c .glyph, .triple .c .lead, .triple .c .lbl { grid-column: 2; }
+.triple .q .glyph, .triple .q .lead, .triple .q .lbl { grid-column: 3; }
+.triple .lead { grid-row: 2; justify-self: center; width: 1px; height: 1.9rem; margin-top: 1.2rem; background: var(--accent); transform-origin: top; }
+.triple .lead::before { content: ""; position: relative; display: block; left: -2.5px; top: -3px; width: 6px; height: 6px; border-radius: 50%; background: var(--accent); }
+.triple .lbl { grid-row: 3; justify-self: center; width: 0; display: flex; justify-content: center; font-size: 1rem; margin-top: .55rem; }
+.triple .lbl > span { flex: none; width: min(11rem, calc(var(--tf) * 1.1)); text-align: center; font: 400 .875rem/1.45 var(--sans); color: var(--ink-2); }
+.triple .lbl .desc { display: block; }
+.triple .lbl dfn { display: block; font: italic 500 1.25rem/1.25 var(--serif); color: var(--ink); margin-bottom: .2rem; }
+.triple .lbl .sym { display: none; }
+.triple .eqno { grid-column: 4; grid-row: 1; justify-self: end; align-self: center; font: 400 1.375rem/1 var(--serif); color: var(--ink-3); }
+
+@keyframes draw { from { transform: scaleY(0); } to { transform: scaleY(1); } }
+@keyframes rise { from { opacity: 0; transform: translateY(.4rem); } to { opacity: 1; transform: none; } }
+.triple .lead { animation: draw .7s cubic-bezier(.2,.7,.2,1) both; }
+.triple .lbl > span { animation: rise .6s ease-out both; }
+.triple .p .lead { animation-delay: .25s; } .triple .p .lbl > span { animation-delay: .6s; }
+.triple .c .lead { animation-delay: .45s; } .triple .c .lbl > span { animation-delay: .8s; }
+.triple .q .lead { animation-delay: .65s; } .triple .q .lbl > span { animation-delay: 1s; }
+
+.abstract { font-size: 1.125rem; line-height: 1.6; margin: 0; }
+
+/* at-a-glance example beside the triple */
+.glance { position: relative; background: var(--paper); grid-column: 2; align-self: start; margin-top: clamp(2.5rem, 4.5vw, 3.5rem); border-top: 1px solid var(--ink); padding-top: .9rem; }
+.glance-h { font-size: .875rem; color: var(--ink-2); margin: 0 0 .5rem; }
+.glance-h b { font-family: var(--serif); font-style: italic; font-weight: 500; font-size: 1.05em; color: var(--ink); margin-right: .25em; }
+.glance .mini { display: block; width: 100%; max-width: 21rem; height: auto; margin: .2rem 0 .6rem; }
+.mini .ql { font: 400 12px var(--mono); fill: var(--ink-2); }
+.mini .w { stroke: var(--ink-3); stroke-width: 1.2; }
+.mini rect { fill: var(--paper); stroke: var(--ink); stroke-width: 1.3; }
+.mini .gt { font: 500 18px var(--serif); fill: var(--ink); text-anchor: middle; }
+.glance-sets { margin: 0; }
+.glance-sets > div { display: grid; grid-template-columns: 4.6rem minmax(0, 1fr); column-gap: .75rem; padding: .4rem 0; border-top: 1px solid var(--rule); align-items: baseline; }
+.glance-sets dt { color: var(--ink-2); }
+.glance-sets dd { margin: 0; font-family: var(--math); font-size: 1.0625rem; line-height: 1.45; font-synthesis: none; }
+.glance .nw { white-space: nowrap; }
+.glance-v { list-style: none; margin: 0; padding: 0; border-top: 1px solid var(--ink); }
+.glance-v li { display: flex; flex-wrap: wrap; justify-content: space-between; align-items: baseline; gap: .1rem 1rem; padding: .45rem 0; border-bottom: 1px solid var(--rule); }
+.glance-v .m { font-size: 1.0625rem; }
+.glance-v code { background: none; padding: 0; font-size: .9rem; }
+.glance-note { font-size: .875rem; line-height: 1.5; color: var(--ink-2); margin: .7rem 0 0; }
+.intro .ctas { margin-top: 1.6rem; }
+.ctas { display: flex; flex-wrap: wrap; align-items: center; gap: .9rem 1.6rem; }
+.btn {
+  display: inline-flex; align-items: center; gap: .6rem;
+  padding: .85rem 1.35rem; border-radius: 2px;
+  background: var(--ink); color: var(--paper);
+  font-weight: 600; text-decoration: none; letter-spacing: .005em;
+}
+.btn:hover { background: var(--accent); color: var(--on-ink); }
+.ctas .text-links { display: flex; gap: 1.5rem; flex-wrap: wrap; font-weight: 600; }
+
+/* ---------- chapters ---------- */
+.chapter { border-top: 1px solid var(--rule); padding-block: clamp(3.25rem, 6vw, 5.25rem); }
+.chapter > .wrap { display: grid; grid-template-columns: 5rem minmax(0, 1fr); column-gap: 2.5rem; }
+.chapter > .wrap > * { grid-column: 2; min-width: 0; }
+.chapter h2 { position: relative; font: 500 clamp(2.1rem, 4.2vw, 3.25rem)/1.08 var(--serif); font-variation-settings: "opsz" 16; letter-spacing: -.006em; margin: 0 0 2.25rem; max-width: 22ch; }
+.secnum { position: absolute; right: calc(100% + 2.5rem); width: 5rem; text-align: right; top: .02em; font: 400 1em/1.08 var(--serif); color: var(--ink-3); }
+.chapter h3 { font: 500 1.625rem/1.2 var(--serif); margin: 3rem 0 1.1rem; max-width: 30ch; }
+.chapter h3 .subnum { font-weight: 400; color: var(--ink-3); margin-right: .3em; }
+
+.row { display: grid; grid-template-columns: minmax(0, var(--measure)) minmax(0, var(--side)); column-gap: 3.25rem; align-items: start; }
+.row > .main { grid-column: 1; }
+.row > .side { grid-column: 2; }
+.lede { font-size: 1.1875rem; }
+.side { font-size: .875rem; line-height: 1.55; color: var(--ink-2); }
+.side p { margin: 0 0 1.15rem; padding-top: .6rem; border-top: 1px solid var(--rule); }
+.side p:first-child { margin-top: .3rem; }
+
+.display-eq { display: grid; grid-template-columns: minmax(0, 1fr) auto; align-items: center; margin: 1.6rem 0 1.8rem; }
+.display-eq .m { font-size: clamp(1.45rem, 3vw, 1.9rem); text-align: center; white-space: normal; }
+.display-eq .eqno { font: 400 1.125rem/1 var(--serif); color: var(--ink-3); padding-left: 1rem; }
+
+figure { margin: 0; }
+.fig { margin: 2.25rem 0 0; }
+.fig svg { display: block; width: 100%; max-width: 40rem; height: auto; }
+.f1-node { font-size: 21px; }
+.f1-node tspan { font-size: 13px; }
+.f1-leaf { font-size: 18px; }
+.fig figcaption, .caption { font-size: .875rem; line-height: 1.5; color: var(--ink-2); margin-top: .9rem; max-width: 40rem; }
+.fig figcaption b, .caption b { font-family: var(--serif); font-style: italic; font-weight: 500; font-size: 1.05em; color: var(--ink); margin-right: .25em; }
+
+/* ---------- code ---------- */
+pre { margin: 0; font-size: .84375rem; line-height: 1.6; tab-size: 4; }
+.code { position: relative; background: var(--paper-deep); border-radius: 3px; margin: 1.25rem 0; min-width: 0; }
+.code .cap { display: block; font: 500 .8125rem/1.4 var(--sans); color: var(--ink-3); padding: .7rem 1rem 0; padding-right: 5rem; }
+.code .cap code { background: none; padding: 0; font-size: .95em; white-space: normal; overflow-wrap: break-word; }
+.code pre { padding: .65rem 1rem .95rem; overflow-x: auto; white-space: pre; }
+.code.soft pre { white-space: pre-wrap; overflow-wrap: break-word; }
+.code .out.flow { display: block; white-space: pre-wrap; overflow-wrap: break-word; position: sticky; left: 0; }
+.code .pr { color: var(--ink-3); user-select: none; -webkit-user-select: none; }
+.code .out { color: var(--ink-2); }
+.code .cm { color: var(--ink-3); font-style: italic; }
+.code .kw { font-weight: 700; }
+.ok { color: var(--accent); font-weight: 700; }
+.fail { color: var(--fail); font-weight: 700; }
+.copy {
+  position: absolute; top: .45rem; right: .5rem;
+  font: 500 .75rem/1 var(--sans); color: var(--ink-2);
+  background: var(--paper); border: 1px solid var(--control); border-radius: 2px;
+  padding: .4rem .6rem; cursor: pointer;
+}
+.copy::before { content: ""; position: absolute; inset: -9px -5px; }
+.copy:hover { color: var(--ink); border-color: var(--ink-2); }
+.copy.done { color: var(--accent); border-color: var(--accent); }
+.pair { display: grid; grid-template-columns: repeat(2, minmax(0, 1fr)); gap: 0 1rem; }
+.pair .code { margin-top: 0; }
+.pair.lopsided { grid-template-columns: minmax(0, .72fr) minmax(0, 1.28fr); }
+
+/* ---------- stepper ---------- */
+.stepper { margin-top: 2.25rem; border: 1px solid var(--rule); border-radius: 3px; background: var(--paper-lift); }
+.circuit { padding: 1.4rem 1.5rem .4rem; border-bottom: 1px solid var(--rule); }
+.circuit svg { display: block; width: 100%; max-width: 32rem; height: auto; }
+.circuit .wire { stroke: var(--ink-3); stroke-width: 1.25; }
+.circuit .qlabel { font: 400 13px var(--mono); fill: var(--ink-2); }
+.circuit .gate rect { fill: var(--paper-lift); stroke: var(--ink); stroke-width: 1.4; }
+.circuit .gate text { font: 500 22px var(--serif); fill: var(--ink); }
+.circuit .marker { display: none; }
+.js .circuit .marker { display: block; transition: transform .35s cubic-bezier(.2,.7,.2,1); }
+.circuit .marker line { stroke: var(--accent); stroke-width: 1.5; stroke-dasharray: 4 4; }
+.circuit .marker path { fill: var(--accent); }
+.js .circuit .gate { transition: opacity .25s; }
+.js .circuit .gate.todo { opacity: .55; }
+.js .circuit .gate.todo rect { stroke-dasharray: 3 3; }
+.js .circuit .gate.now rect { fill: var(--accent-wash); stroke: var(--accent); stroke-width: 2; }
+.circuit-cap { font-size: .8125rem; color: var(--ink-3); margin: .2rem 0 0; }
+
+.stepnav { display: none; }
+.js .stepnav { display: flex; flex-wrap: wrap; align-items: center; gap: .5rem; padding: 1rem 1.5rem 0; }
+.stepnav .tabs { display: flex; flex-wrap: wrap; gap: .4rem; flex: 1 1 auto; }
+.stepnav button {
+  font: 500 .875rem/1 var(--sans); color: var(--ink-2);
+  background: transparent; border: 1px solid var(--control); border-radius: 2px;
+  padding: .55rem .75rem; cursor: pointer; display: inline-flex; gap: .45rem; align-items: baseline;
+}
+.stepnav .tabs button .n { font: 500 1rem/1 var(--serif); color: var(--ink-3); }
+.stepnav .tabs button code { font-size: .8125rem; background: none; padding: 0; }
+.stepnav button:hover { border-color: var(--ink-2); color: var(--ink); }
+.stepnav .tabs button[aria-current="step"] { background: var(--ink); color: var(--paper); border-color: var(--ink); }
+.stepnav .tabs button[aria-current="step"] .n { color: var(--paper); }
+.stepnav .pn { display: flex; gap: .4rem; }
+.stepnav .pn button[aria-disabled="true"] { opacity: .4; cursor: default; }
+.stepnav .pn button[aria-disabled="true"]:hover { border-color: var(--control); color: var(--ink-2); }
+
+.steps { list-style: none; margin: 0; padding: 0; }
+.step { padding: 1.5rem; border-top: 1px solid var(--rule); }
+.step:first-child { border-top: 0; }
+.js .step { border-top: 0; }
+.js .step.off { display: none; }
+/* From tablet width up, stack the steps in one grid cell so the stepper keeps
+   the height of its tallest step and the page below it does not jump. */
+@media (min-width: 761px) {
+  .js .steps { display: grid; }
+  .js .step { grid-area: 1 / 1; min-width: 0; }
+  .js .step.off { display: block; visibility: hidden; }
+}
+.chapter .step-head { display: flex; flex-wrap: nowrap; align-items: baseline; gap: .25rem .9rem; margin: 0 0 1rem; font: 500 1.375rem/1.25 var(--serif); }
+.step-head .n { font: 400 1.375rem/1 var(--serif); color: var(--accent); }
+.step-head code { font-size: .8em; font-weight: 500; white-space: nowrap; }
+.step-grid { display: grid; grid-template-columns: minmax(0, 1fr) minmax(0, 1fr); gap: 1.25rem 2rem; align-items: start; }
+.set { font-family: var(--math); font-size: clamp(1.2rem, 2.4vw, 1.55rem); line-height: 1.5; margin: 0 0 .9rem; font-synthesis: none; }
+.set .nm { white-space: nowrap; }
+.fr { display: inline-flex; flex-direction: column; vertical-align: .42em; font-size: .6em; line-height: 1.08; text-align: center; margin: 0 .12em 0 .04em; font-family: "Bodoni Moda", Georgia, serif; }
+.fr > span:first-child { border-bottom: 1px solid currentColor; padding: 0 .15em .05em; }
+.gloss { color: var(--ink-2); font-size: .9375rem; margin: 0; }
+.st-trees { display: grid; grid-template-columns: repeat(2, minmax(0, 14rem)); gap: .75rem 1.5rem; margin: .25rem 0 .9rem; }
+.st-tree { display: block; width: 100%; height: auto; }
+.st-tree .edges path { fill: none; stroke: var(--ink-3); stroke-width: 1.2; }
+.st-tree .nd { fill: var(--ink-3); }
+.st-tree rect { fill: var(--paper); stroke: var(--ink-3); stroke-width: 1.1; }
+.st-tree .amp { font: 400 16px var(--math); fill: var(--ink); font-synthesis: none; }
+.st-tree .amp.long { font-size: 13.5px; }
+.st-tree .ket { font: 400 12px var(--mono); fill: var(--ink-3); }
+.st-tree .zero rect { fill: none; stroke-dasharray: 3 3; }
+.st-tree .zero .amp { fill: var(--ink-3); }
+.st-tree .chg rect { fill: var(--accent-wash); stroke: var(--accent); stroke-width: 2.2; }
+.tree-key { font-size: .8125rem; color: var(--ink-3); margin: .2rem 0 0; }
+.tree-key .k { display: inline-block; width: 1.1em; height: .8em; vertical-align: -.05em; margin-right: .3em; border: 1px solid var(--ink-3); border-radius: 1px; }
+.tree-key .k.c { border: 2px solid var(--accent); background: var(--accent-wash); }
+.tree-key .k.z { border-style: dashed; }
+.step .code { margin: 0; }
+.step .code + .code { margin-top: .6rem; }
+.verdicts { display: grid; grid-template-columns: repeat(2, minmax(0, 1fr)); gap: 1.25rem 2rem; }
+.verdict h4 { font: 500 1.1875rem/1.3 var(--serif); margin: 0 0 .5rem; }
+.verdict .gloss { margin-top: .75rem; }
+
+/* ---------- gates ---------- */
+.gates { list-style: none; padding: 0; margin: 1.75rem 0 0; display: grid; grid-template-columns: repeat(7, minmax(0, 1fr)); border-top: 1px solid var(--rule); border-left: 1px solid var(--rule); }
+.gates li { border-right: 1px solid var(--rule); border-bottom: 1px solid var(--rule); padding: 1rem .5rem .9rem; text-align: center; display: flex; flex-direction: column; align-items: center; gap: .35rem; }
+.gates svg { width: 4rem; height: 3rem; color: var(--ink); overflow: visible; }
+.gates svg .w { stroke: var(--ink-3); stroke-width: 1.2; }
+.gates svg .b { fill: var(--paper); stroke: currentColor; stroke-width: 1.3; }
+.gates svg .s { stroke: currentColor; stroke-width: 1.3; fill: none; }
+.gates svg .d { fill: currentColor; }
+.gates svg text { font: 400 16px var(--serif); fill: currentColor; }
+.gates .gtxt { display: flex; flex-direction: column; align-items: center; gap: .15rem; }
+.gates .gname { font: 400 1.125rem/1.2 var(--math); font-synthesis: none; }
+.gates li code { font-size: .78rem; color: var(--ink-3); background: none; padding: 0; }
+
+/* ---------- quick start ---------- */
+ol.qs { list-style: none; counter-reset: qs; margin: 1.75rem 0 0; padding: 0; }
+.qs > li { counter-increment: qs; position: relative; padding: 0 0 1.75rem 3.25rem; }
+.qs > li::before { content: counter(qs); position: absolute; left: 0; top: -.15rem; width: 2.1rem; height: 2.1rem; display: grid; place-items: center; border: 1px solid var(--ink); border-radius: 50%; font: 400 1.125rem/1 var(--serif); color: var(--ink); background: var(--paper); }
+.qs > li:not(:last-child)::after { content: ""; position: absolute; left: 1.05rem; top: 2.2rem; bottom: .35rem; width: 1px; background: var(--rule); }
+.chapter .qs-h { font: 500 1.375rem/1.25 var(--serif); margin: 0 0 .7rem; }
+.qs .code { margin: .6rem 0 .8rem; }
+.qs p { margin: 0 0 .8rem; }
+.qs p.small { font-size: .9375rem; color: var(--ink-2); }
+
+/* ---------- disclosure ---------- */
+.disclose { margin-top: 2rem; border-top: 1px solid var(--rule); border-bottom: 1px solid var(--rule); padding: .9rem 0; }
+.disclose summary { cursor: pointer; font-weight: 600; list-style: none; display: inline-flex; align-items: center; gap: .6rem; }
+.disclose summary::-webkit-details-marker { display: none; }
+.disclose summary::before { content: ""; width: .5rem; height: .5rem; border-right: 1.5px solid currentColor; border-bottom: 1.5px solid currentColor; transform: rotate(-45deg); transition: transform .2s; }
+.disclose[open] summary::before { transform: rotate(45deg); }
+.disclose summary b { font-family: var(--serif); font-style: italic; font-weight: 500; font-size: 1.05em; }
+
+/* ---------- lists & tables ---------- */
+.cmds { margin: 1.5rem 0 0; display: grid; grid-template-columns: repeat(2, minmax(0, 1fr)); column-gap: 3.25rem; border-bottom: 1px solid var(--rule); max-width: calc(var(--measure) + var(--side) + 3.25rem); }
+.cmds > div { display: grid; grid-template-columns: 3.75rem minmax(0, 1fr); gap: .2rem 1rem; padding: 1rem 0; border-top: 1px solid var(--rule); align-content: start; }
+@media (max-width: 760px) { .cmds { grid-template-columns: minmax(0, 1fr); } }
+.cmds dt { font: 700 1rem/1.5 var(--mono); }
+.cmds dd { margin: 0; }
+.cmds .use { font-size: .8125rem; color: var(--ink-2); white-space: normal; background: none; padding: 0; overflow-wrap: anywhere; }
+.cmds .opts { font-size: .875rem; color: var(--ink-3); }
+.cmds .opts code { color: var(--ink-2); }
+
+.formats { margin: 1.5rem 0 0; }
+.formats > div { display: grid; grid-template-columns: 5.5rem minmax(0, 1fr); gap: .25rem 1.25rem; padding: 1.15rem 0; border-top: 1px solid var(--rule); }
+.formats > div:last-child { border-bottom: 1px solid var(--rule); }
+.formats dt { font: italic 500 1.375rem/1.3 var(--serif); }
+.formats dd { margin: 0; }
+.formats dd p { margin: 0 0 .4rem; }
+.formats .doc { font-size: .9375rem; }
+
+.tbl-wrap { overflow-x: auto; margin: 1.25rem 0 0; }
+table.dirac { border-collapse: collapse; width: 100%; font-size: .9375rem; }
+.dirac caption { text-align: left; font-size: .875rem; color: var(--ink-2); padding-bottom: .6rem; }
+.dirac caption b { font-family: var(--serif); font-style: italic; font-weight: 500; font-size: 1.05em; color: var(--ink); margin-right: .25em; }
+.dirac th { text-align: left; font-weight: 600; font-size: .8125rem; color: var(--ink-3); padding: .5rem .75rem .5rem 0; border-bottom: 1px solid var(--ink); }
+.dirac td { padding: .6rem .75rem .6rem 0; border-bottom: 1px solid var(--rule); vertical-align: baseline; }
+.dirac td:first-child { font-family: var(--math); font-size: 1.1rem; white-space: nowrap; font-synthesis: none; }
+.dirac td code { white-space: nowrap; }
+
+ol.notes-list { padding-left: 1.25rem; margin: 1rem 0 0; }
+ol.notes-list li { margin-bottom: .6rem; padding-left: .25rem; }
+ol.notes-list li::marker { font-family: var(--serif); font-style: italic; color: var(--ink-3); }
+
+/* ---------- papers ---------- */
+.refs { list-style: none; margin: 2rem 0 0; padding: 0; counter-reset: ref; }
+.ref { display: grid; grid-template-columns: 3rem minmax(0, 1fr); column-gap: 1.25rem; padding: 2rem 0; border-top: 1px solid var(--rule); }
+.ref:last-child { border-bottom: 1px solid var(--rule); }
+.ref .key { font: 400 1.375rem/1.3 var(--serif); color: var(--ink-3); }
+.ref h3 { margin: 0 0 .6rem; font: 500 clamp(1.35rem, 2.4vw, 1.75rem)/1.22 var(--serif); max-width: 34ch; }
+.ref h3 a { text-decoration: none; }
+.ref h3 a:hover { text-decoration: underline; text-decoration-color: var(--accent); }
+.ref .authors { margin: 0 0 .35rem; }
+.ref .venue { margin: 0; color: var(--ink-2); font-style: italic; }
+.ref .acts { display: flex; flex-wrap: wrap; align-items: center; gap: .6rem 1.4rem; margin-top: 1.1rem; font-size: .9375rem; }
+.ref details { grid-column: 2; margin-top: .9rem; }
+.ref summary { cursor: pointer; font-weight: 600; font-size: .9375rem; width: max-content; list-style: none; display: inline-flex; align-items: center; gap: .5rem; }
+.ref summary::-webkit-details-marker { display: none; }
+.ref summary::before { content: ""; width: .5rem; height: .5rem; border-right: 1.5px solid currentColor; border-bottom: 1.5px solid currentColor; transform: rotate(-45deg); transition: transform .2s; margin-right: .1rem; }
+.ref details[open] summary::before { transform: rotate(45deg); }
+.ref details .code { margin-top: .8rem; }
+.js-only { display: none !important; }
+.js .js-only { display: inline-flex !important; }
+.btn-quiet { font: 600 .9375rem/1 var(--sans); color: var(--ink); background: none; border: 1px solid var(--control); border-radius: 2px; padding: .5rem .75rem; cursor: pointer; }
+.btn-quiet:hover { border-color: var(--ink-2); }
+.btn-quiet.done { color: var(--accent); border-color: var(--accent); }
+
+/* ---------- more ---------- */
+.more { display: grid; grid-template-columns: repeat(3, minmax(0, 1fr)); gap: 2rem 3rem; margin-top: .5rem; }
+.more h3 { margin-top: 0; font-size: 1.375rem; }
+.more ul { list-style: none; margin: 0; padding: 0; }
+.more li { padding: .35rem 0; border-bottom: 1px solid var(--rule); }
+.more li:first-child { border-top: 1px solid var(--rule); }
+.more li span { display: block; font-size: .8125rem; color: var(--ink-3); }
+.video-link { display: flex; align-items: center; gap: .9rem; text-decoration: none; margin-top: 1rem; font-weight: 600; }
+.video-link svg { flex: none; width: 2.75rem; height: 2.75rem; }
+.video-link svg circle { fill: none; stroke: var(--ink); stroke-width: 1.2; }
+.video-link svg path { fill: var(--accent); }
+.video-link:hover svg circle { stroke: var(--accent); }
+
+/* ---------- footer ---------- */
+.colophon { border-top: 1px solid var(--ink); padding-block: 2.5rem 3.5rem; font-size: .875rem; color: var(--ink-2); }
+.colophon .wrap { display: grid; grid-template-columns: 5rem minmax(0, 1fr) auto; column-gap: 2.5rem; row-gap: .75rem; align-items: baseline; }
+.colophon .wordmark { grid-column: 2; font-size: 1.5rem; }
+.colophon .legal { grid-column: 2; margin: 0; max-width: 46rem; }
+.colophon .flinks { grid-column: 3; grid-row: 1 / span 2; display: flex; gap: 1.4rem; flex-wrap: wrap; justify-content: flex-end; }
+
+/* ---------- responsive ---------- */
+@media (max-width: 1180px) {
+  :root { --side: 14rem; }
+  .triple { grid-column: 1 / -1; --tf: clamp(4.1rem, 14vw, 9rem); }
+  .glance { grid-column: 1 / -1; max-width: 34rem; margin-top: 3rem; }
+  .hero .wrap, .chapter > .wrap, .colophon .wrap { grid-template-columns: 3rem minmax(0, 1fr); column-gap: 1.75rem; }
+  .secnum { right: calc(100% + 1.75rem); width: 3rem; }
+  .row { column-gap: 2.25rem; }
+}
+@media (max-width: 920px) {
+  .hero .wrap, .chapter > .wrap, .colophon .wrap { grid-template-columns: minmax(0, 1fr); }
+  .hero .inner, .chapter > .wrap > *, .colophon .wordmark, .colophon .legal, .colophon .flinks { grid-column: 1; }
+  .colophon .flinks { grid-row: auto; justify-content: flex-start; }
+  .secnum { position: static; display: inline; width: auto; text-align: left; font-size: 1em; margin: 0 .35em 0 0; }
+  .row { display: block; }
+  .row > .main { max-width: var(--measure); }
+  .row > .side { max-width: 32rem; }
+  .side { margin-top: .5rem; }
+  .side p, .side p:first-child { border-top: 0; border-left: 2px solid var(--rule); padding: 0 0 0 .9rem; margin: 0 0 1rem; }
+  .hero .inner { grid-template-columns: minmax(0, 1fr); }
+  .triple { --tf: clamp(4.1rem, 17vw, 9rem); }
+  .intro { grid-column: 1; margin-top: 1.75rem; max-width: 38rem; }
+  .more { grid-template-columns: minmax(0, 1fr); }
+}
+@media (max-width: 760px) {
+  .step-grid, .verdicts, .pair, .pair.lopsided { grid-template-columns: minmax(0, 1fr); }
+  .gates { grid-template-columns: repeat(2, minmax(0, 1fr)); }
+  .gates li { flex-direction: row; text-align: left; justify-content: flex-start; gap: .75rem; padding: .7rem .6rem; }
+  .gates li .gtxt { align-items: flex-start; }
+  .gates svg { width: 3.25rem; height: 2.5rem; flex: none; }
+  .stepnav .tabs { flex-basis: 100%; }
+}
+@media (max-width: 640px) {
+  body { font-size: 1rem; }
+  .triple { --tf: clamp(3.5rem, 21vw, 6rem); column-gap: .3em; }
+  .triple .lead { display: none; }
+  .triple .lbl, .triple .p .lbl, .triple .c .lbl, .triple .q .lbl { grid-column: 1 / -1; grid-row: auto; width: auto; justify-self: stretch; display: block; margin-top: 0; }
+  .triple .p .lbl { margin-top: 1.5rem; }
+  .triple .lbl > span { width: auto; display: grid; grid-template-columns: 2rem minmax(0, 1fr); column-gap: .5rem; text-align: left; padding: .55rem 0; border-top: 1px solid var(--rule); font-size: .9375rem; }
+  .triple .lbl .sym { display: block; grid-column: 1; grid-row: 1 / span 2; font: italic 400 1.5rem/1.1 var(--serif); color: var(--accent); }
+  .triple .lbl dfn { grid-column: 2; font-size: 1.125rem; margin: 0; }
+  .triple .lbl .desc { grid-column: 2; }
+  .glance { margin-top: 2.25rem; }
+  .glance-sets > div { grid-template-columns: minmax(0, 1fr); }
+  .glance-sets dt { font-size: .9375rem; }
+  .f1-node { font-size: 26px; }
+  .f1-node tspan { font-size: 16px; }
+  .f1-leaf { font-size: 28px; }
+  .circuit .qlabel { font-size: 16px; }
+  .circuit .gate text { font-size: 26px; }
+  .st-trees { grid-template-columns: minmax(0, 13.5rem); gap: .6rem; }
+  .st-tree .ket { font-size: 13px; }
+  .qs > li { padding-left: 2.75rem; }
+  .triple .eqno { font-size: 1rem; }
+  .abstract, .lede { font-size: 1.0625rem; }
+  .step { padding: 1.15rem; }
+  .circuit { padding: 1rem 1rem .3rem; }
+  .js .stepnav { padding: .9rem 1rem 0; }
+  .ref { grid-template-columns: minmax(0, 1fr); }
+  .ref details { grid-column: 1; }
+  .ref .key { margin-bottom: .3rem; }
+  .cmds > div, .formats > div { grid-template-columns: minmax(0, 1fr); }
+  .display-eq .eqno { font-size: 1rem; }
+  pre { font-size: .78125rem; }
+  .code pre { padding-inline: .85rem; }
+  .dirac thead { display: none; }
+  .dirac tr { display: grid; grid-template-columns: minmax(0, 1fr) auto; column-gap: 1rem; padding: .7rem 0; border-bottom: 1px solid var(--rule); }
+  .dirac td { border: 0; padding: 0; }
+  .dirac td:first-child { grid-column: 1 / -1; margin-bottom: .2rem; white-space: normal; }
+  .dirac td:last-child { text-align: right; }
+  .dirac td:last-child:not(:empty)::before { content: "ASCII"; font: 600 .6875rem/1 var(--sans); letter-spacing: .05em; color: var(--ink-3); margin-right: .45em; }
+}
+/* touch targets of at least 44px */
+@media (max-width: 640px), (pointer: coarse) {
+  .nav ul { padding-block: 0; }
+  .nav a, .masthead .gh, .masthead .wordmark { display: inline-flex; align-items: center; min-height: 44px; padding-inline: .25rem; }
+  .theme { width: 2.75rem; height: 2.75rem; }
+  .stepnav button { min-height: 44px; align-items: center; }
+  .btn-quiet, .ref summary, .disclose summary { min-height: 44px; align-items: center; }
+  .ctas .text-links a, .colophon .flinks a { display: inline-flex; align-items: center; justify-content: center; min-height: 44px; min-width: 44px; }
+}
+@media (prefers-reduced-motion: reduce) {
+  html { scroll-behavior: auto; }
+  *, *::before, *::after { animation: none !important; transition: none !important; }
+}
+@media print {
+  .masthead, .stepnav, .copy, .js-only { display: none !important; }
+  .js .steps { display: block !important; }
+  .js .step.off { display: block !important; visibility: visible !important; }
+  body { background: #fff; }
+}
+/* Optical sizes. The font shorthand resets font-variation-settings, so these come last:
+   low opsz keeps Bodoni's hairlines visible at text and subhead sizes. */
+.wordmark, .triple .lbl dfn, .triple .lbl .sym, .triple .eqno, .display-eq .eqno,
+.chapter h3, .chapter .step-head, .step-head .n, .stepnav .tabs button .n, .verdict h4,
+.circuit .gate text, .gates svg text, .gates .gname, .formats dt, .ref .key, .ref h3 { font-variation-settings: "opsz" 9; }
+.secnum { font-variation-settings: "opsz" 16; }
+</style>
+</head>
+<body>
+<a class="skip" href="#main">Skip to content</a>
+<p class="sr-only" aria-live="polite" id="copy-status"></p>
+
+<header class="masthead">
+  <div class="wrap">
+    <a class="wordmark" href="#top" aria-label="AutoQ, back to top">AutoQ</a>
+    <nav class="nav" aria-label="Sections">
+      <ul>
+        <li><a href="#checks">What it checks</a></li>
+        <li><a href="#example">Example</a></li>
+        <li><a href="#start">Get started</a></li>
+        <li><a href="#features">Features</a></li>
+        <li><a href="#formats">Specifications</a></li>
+        <li><a href="#papers">Papers</a></li>
+      </ul>
+    </nav>
+    <a class="gh" href="https://github.com/fmlab-iis/AutoQ">GitHub</a>
+    <button type="button" class="theme" hidden aria-label="Switch to dark theme"><svg viewBox="0 0 20 20" aria-hidden="true"><circle cx="10" cy="10" r="7.25" fill="none" stroke="currentColor" stroke-width="1.5"/><path d="M10 2.75 A7.25 7.25 0 0 1 10 17.25 Z" fill="currentColor"/></svg></button>
+  </div>
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+<main id="main">
+
+<section class="hero" id="top" aria-labelledby="title">
+  <div class="wrap">
+    <div class="inner">
+      <div class="titling">
+        <h1 id="title">AutoQ 2.0</h1>
+        <p class="tagline">An automata-based C<span class="pp">++</span> tool for quantum program verification.</p>
+      </div>
+      <div class="intro">
+        <p class="abstract">AutoQ verifies the partial correctness of quantum programs. You state a precondition and a postcondition as sets of pure quantum states and give the program in OpenQASM. AutoQ represents each set as a tree automaton, carries it through the program gate by gate, and checks that every resulting state lies in the postcondition, up to a nonzero complex factor.</p>
+        <div class="ctas">
+          <a class="btn" href="https://github.com/fmlab-iis/AutoQ">View on GitHub</a>
+          <div class="text-links">
+            <a href="#start">Get started</a>
+            <a href="#papers">Read the papers</a>
+          </div>
+        </div>
+      </div>
+
+      <div class="triple" role="group" aria-label="The Hoare triple {P} C {Q}">
+        <div class="part p">
+          <span class="glyph"><span class="br">{</span><i>P</i><span class="br">}</span></span>
+          <span class="lead" aria-hidden="true"></span>
+          <span class="lbl"><span><i class="sym" aria-hidden="true">P</i><dfn>precondition</dfn><span class="desc">a set of pure quantum states, written in <code>.hsl</code> or <code>.lsta</code></span></span></span>
+        </div>
+        <div class="part c">
+          <span class="glyph"><i>C</i></span>
+          <span class="lead" aria-hidden="true"></span>
+          <span class="lbl"><span><i class="sym" aria-hidden="true">C</i><dfn>program</dfn><span class="desc">a quantum program in a subset of OpenQASM 2.0 or 3.0</span></span></span>
+        </div>
+        <div class="part q">
+          <span class="glyph"><span class="br">{</span><i>Q</i><span class="br">}</span></span>
+          <span class="lead" aria-hidden="true"></span>
+          <span class="lbl"><span><i class="sym" aria-hidden="true">Q</i><dfn>postcondition</dfn><span class="desc">the set that must contain every result, up to scaling</span></span></span>
+        </div>
+        <span class="eqno" aria-hidden="true">(1)</span>
+      </div>
+
+      <aside class="glance" aria-labelledby="glance-h">
+        <p class="glance-h" id="glance-h"><b>Example.</b> Two qubits, three gates, two postconditions.</p>
+        <svg class="mini" viewBox="0 0 300 92" role="img" aria-label="Circuit: X on qb[0], then X on qb[1], then H on qb[1]">
+          <text class="ql" x="0" y="30">qb[0]</text>
+          <text class="ql" x="0" y="72">qb[1]</text>
+          <line class="w" x1="46" y1="26" x2="300" y2="26"/>
+          <line class="w" x1="46" y1="68" x2="300" y2="68"/>
+          <rect x="94" y="11" width="30" height="30" rx="1"/><text class="gt" x="109" y="32">X</text>
+          <rect x="166" y="53" width="30" height="30" rx="1"/><text class="gt" x="181" y="74">X</text>
+          <rect x="238" y="53" width="30" height="30" rx="1"/><text class="gt" x="253" y="74">H</text>
+        </svg>
+        <dl class="glance-sets">
+          <div><dt><span class="m">ℒ(<i>P</i>)</span></dt><dd>{|00⟩, <span class="nw">½|00⟩ + ½|01⟩ + ½|10⟩ + ½|11⟩</span>}</dd></div>
+          <div><dt><span class="m"><i>C</i>(ℒ(<i>P</i>))</span></dt><dd>{<span class="nw">|10⟩/√2 − |11⟩/√2,</span> <span class="nw">|10⟩/√2 + |00⟩/√2</span>}</dd></div>
+        </dl>
+        <ul class="glance-v" aria-label="Verification results">
+          <li><span class="m">ℒ(<i>Q</i><sub>1</sub>) = {|10⟩ − |11⟩, |10⟩ + |00⟩}</span><code class="ok">[OK]</code></li>
+          <li><span class="m">ℒ(<i>Q</i><sub>2</sub>) = {|10⟩ − |11⟩, |10⟩ − |00⟩}</span><code class="fail">[failed]</code></li>
+        </ul>
+        <p class="glance-note"><span class="m"><i>Q</i><sub>1</sub></span> leaves out the <span class="m">1/√2</span> factors and still passes: AutoQ compares states up to scaling. <span class="m"><i>Q</i><sub>2</sub></span> flips one sign. <a href="#example">Step&nbsp;through&nbsp;it</a></p>
+      </aside>
+    </div>
+  </div>
+</section>
+
+<!-- 1 ============================================================ -->
+<section class="chapter" id="checks" aria-labelledby="h-checks">
+  <div class="wrap">
+    <h2 id="h-checks"><span class="secnum" aria-hidden="true">1</span>What AutoQ checks</h2>
+
+    <div class="row">
+      <div class="main">
+        <p class="lede">A Hoare triple <span class="m">{<i>P</i>} <i>C</i> {<i>Q</i>}</span> is a claim about a program <span class="m"><i>C</i></span>: run it from a state allowed by the precondition <span class="m"><i>P</i></span>, and if it terminates, it ends in a state allowed by the postcondition <span class="m"><i>Q</i></span>. This is partial correctness, and AutoQ checks claims of this kind for quantum programs, up to scaling.</p>
+        <p>In AutoQ, <span class="m"><i>P</i></span> and <span class="m"><i>Q</i></span> each describe a set of pure quantum states rather than a single state. AutoQ starts from the whole set <span class="m">ℒ(<i>P</i>)</span>, computes how it is transformed immediately after each gate, and hands the result to the next gate. When the program ends, it checks that <span class="m">ℒ(<i>Q</i>)</span> contains the final set <span class="m"><i>C</i>(ℒ(<i>P</i>))</span>, up to scaling:</p>
+        <div class="display-eq">
+          <span class="m"><i>C</i>(ℒ(<i>P</i>)) ⊆<sub>uts</sub> ℒ(<i>Q</i>)</span>
+          <span class="eqno" aria-hidden="true">(2)</span>
+        </div>
+        <p>That is, for every state <span class="m">|<i>s</i>⟩ ∈ <i>C</i>(ℒ(<i>P</i>))</span> there is a nonzero complex number <span class="m"><i>c</i> ∈ ℂ∖{0}</span> with <span class="m"><i>c</i>|<i>s</i>⟩ ∈ ℒ(<i>Q</i>)</span>. A postcondition can therefore leave out normalization factors such as <span class="m">1/√2</span>; the <a href="#example">worked example</a> below relies on exactly that.</p>
+      </div>
+      <aside class="side">
+        <p><i>uts</i> is short for <em>up to scaling</em>.</p>
+        <p>AutoQ works with pure states. Mixed states are not considered.</p>
+      </aside>
+    </div>
+
+    <h3>Sets of states as tree automata</h3>
+    <div class="row">
+      <div class="main">
+        <p>AutoQ represents a set of states with a tree automaton. A state becomes a tree with one level per qubit, and each leaf stores one amplitude: in Figure&nbsp;1 the leaf <span class="m">000</span> stores the amplitude of <span class="m">|000⟩</span>, <span class="m">001</span> that of <span class="m">|001⟩</span>, and so on. One automaton accepts many such trees, so it can stand for a whole set of states.</p>
+        <p>AutoQ 2.0 uses level-synchronized tree automata, in which each transition carries a set of choices. It also reorders qubits according to the precondition, postcondition and loop invariants, to keep the automata it builds small.</p>
+      </div>
+      <aside class="side">
+        <p>The internal representation is described in <a href="https://github.com/fmlab-iis/AutoQ/blob/main/docs/internal_structure.md">docs/internal_structure.md</a>, which points to <a href="https://inria.hal.science/hal-03367725v1/document#page=23">Example 1.1.3</a> of an NFTA reference for background.</p>
+      </aside>
+    </div>
+
+    <figure class="fig" aria-labelledby="fig1-cap">
+      <svg viewBox="0 0 640 242" role="img" aria-labelledby="fig1-title fig1-desc">
+        <title id="fig1-title">A 3-qubit state as a binary tree</title>
+        <desc id="fig1-desc">The root x1 has two children x2; each x2 has two children x3; the eight leaves, from left to right, are 000, 001, 010, 011, 100, 101, 110 and 111.</desc>
+        <g style="stroke: var(--ink-3); fill: none" stroke-width="1.2">
+          <line x1="320" y1="34" x2="160" y2="88"/><line x1="320" y1="34" x2="480" y2="88"/>
+          <line x1="160" y1="104" x2="80" y2="152"/><line x1="160" y1="104" x2="240" y2="152"/>
+          <line x1="480" y1="104" x2="400" y2="152"/><line x1="480" y1="104" x2="560" y2="152"/>
+          <line x1="80" y1="168" x2="40" y2="206"/><line x1="80" y1="168" x2="120" y2="206"/>
+          <line x1="240" y1="168" x2="200" y2="206"/><line x1="240" y1="168" x2="280" y2="206"/>
+          <line x1="400" y1="168" x2="360" y2="206"/><line x1="400" y1="168" x2="440" y2="206"/>
+          <line x1="560" y1="168" x2="520" y2="206"/><line x1="560" y1="168" x2="600" y2="206"/>
+        </g>
+        <g style="fill: var(--paper-lift); stroke: var(--rule)" stroke-width="1">
+          <circle cx="320" cy="26" r="18"/>
+          <circle cx="160" cy="96" r="18"/><circle cx="480" cy="96" r="18"/>
+          <circle cx="80" cy="160" r="18"/><circle cx="240" cy="160" r="18"/><circle cx="400" cy="160" r="18"/><circle cx="560" cy="160" r="18"/>
+        </g>
+        <g class="f1-node" style="fill: var(--ink); font-family: var(--serif); font-style: italic" text-anchor="middle">
+          <text x="318" y="32">x<tspan dy="5" font-style="normal">1</tspan></text>
+          <text x="158" y="102">x<tspan dy="5" font-style="normal">2</tspan></text>
+          <text x="478" y="102">x<tspan dy="5" font-style="normal">2</tspan></text>
+          <text x="78" y="166">x<tspan dy="5" font-style="normal">3</tspan></text>
+          <text x="238" y="166">x<tspan dy="5" font-style="normal">3</tspan></text>
+          <text x="398" y="166">x<tspan dy="5" font-style="normal">3</tspan></text>
+          <text x="558" y="166">x<tspan dy="5" font-style="normal">3</tspan></text>
+        </g>
+        <g class="f1-leaf" style="fill: var(--ink); font-family: var(--serif)" text-anchor="middle">
+          <text x="40" y="234">000</text><text x="120" y="234">001</text><text x="200" y="234">010</text><text x="280" y="234">011</text>
+          <text x="360" y="234">100</text><text x="440" y="234">101</text><text x="520" y="234">110</text><text x="600" y="234">111</text>
+        </g>
+      </svg>
+      <figcaption id="fig1-cap"><b>Figure 1.</b> A 3-qubit state as a tree, one level per qubit. The leaf <span class="m">000</span> stores the amplitude of <span class="m">|000⟩</span>, and so on. Redrawn from <a href="https://github.com/fmlab-iis/AutoQ/blob/main/docs/internal_structure.md">docs/internal_structure.md</a>.</figcaption>
+    </figure>
+  </div>
+</section>
+
+<!-- 2 ============================================================ -->
+<section class="chapter" id="example" aria-labelledby="h-example">
+  <div class="wrap">
+    <h2 id="h-example"><span class="secnum" aria-hidden="true">2</span>A worked example</h2>
+
+    <div class="row">
+      <div class="main">
+        <p class="lede">This two-qubit example is adapted from the README. The precondition holds two states, and the program applies three gates. Each step shows the set of states after one more gate, the tree of each state, and the output of <code>autoq ex</code> on the program up to that point.</p>
+        <figure class="code soft" data-copy>
+          <figcaption class="cap"><code>pre.hsl</code></figcaption>
+<pre><code><span class="kw">Extended Dirac</span>
+{|00&gt;, 1/2 |00&gt; + 1/2 |01&gt; + 1/2 |10&gt; + 1/2 |11&gt;}</code></pre>
+        </figure>
+        <figure class="code" data-copy>
+          <figcaption class="cap"><code>circuit.qasm</code></figcaption>
+<pre tabindex="0"><code>OPENQASM 3;
+include "stdgates.inc";
+qubit[2] qb;
+
+x qb[0];
+x qb[1];
+h qb[1];</code></pre>
+        </figure>
+        <p class="caption"><code>circuit0.qasm</code>, <code>circuit1.qasm</code> and <code>circuit2.qasm</code> in the steps below are the same file cut after zero, one and two gates.</p>
+      </div>
+      <aside class="side">
+        <p><code>qb[0]</code> is the leftmost bit of each ket, so <code>x qb[0]</code> maps <span class="m">|00⟩</span> to <span class="m">|10⟩</span>.</p>
+        <p>The trees follow Figure&nbsp;1, with leaves in the order <span class="m">00, 01, 10, 11</span>. In each step, outlined leaves changed with the last gate and dashed leaves hold 0.</p>
+        <p>All outputs on this page are copied from real runs of a release build. Times and memory figures vary by machine.</p>
+      </aside>
+    </div>
+
+    <div class="stepper" id="stepper">
+      <figure class="circuit">
+        <svg viewBox="0 0 430 136" role="img" aria-labelledby="circ-title">
+          <title id="circ-title">Circuit: X on qb[0], then X on qb[1], then H on qb[1]</title>
+          <text class="qlabel" x="0" y="48">qb[0]</text>
+          <text class="qlabel" x="0" y="108">qb[1]</text>
+          <line class="wire" x1="52" y1="44" x2="428" y2="44"/>
+          <line class="wire" x1="52" y1="104" x2="428" y2="104"/>
+          <g class="gate g1" data-gate="1"><rect x="128" y="24" width="40" height="40" rx="1"/><text x="148" y="52" text-anchor="middle">X</text></g>
+          <g class="gate g2" data-gate="2"><rect x="218" y="84" width="40" height="40" rx="1"/><text x="238" y="112" text-anchor="middle">X</text></g>
+          <g class="gate g3" data-gate="3"><rect x="308" y="84" width="40" height="40" rx="1"/><text x="328" y="112" text-anchor="middle">H</text></g>
+          <g class="marker" aria-hidden="true" style="transform: translateX(92px)">
+            <line x1="0" y1="12" x2="0" y2="134"/>
+            <path d="M-5 2 L5 2 L0 10 Z"/>
+          </g>
+        </svg>
+      </figure>
+
+      <div class="stepnav" role="group" aria-label="Walkthrough steps">
+        <div class="tabs"></div>
+        <div class="pn">
+          <button type="button" data-dir="-1">Previous</button>
+          <button type="button" data-dir="1">Next</button>
+        </div>
+      </div>
+      <p class="sr-only" aria-live="polite" id="step-status"></p>
+
+      <ol class="steps">
+        <li class="step" data-step="0" data-tab="Start">
+          <h3 class="step-head"><span class="n">0</span> Start from the precondition</h3>
+          <div class="step-grid">
+            <div>
+              <p class="set"><span class="nm">ℒ(<i>P</i>) =</span> {|00⟩, <span class="nm"><span class="fr"><span>1</span><span>2</span></span>|00⟩ + <span class="fr"><span>1</span><span>2</span></span>|01⟩</span> <span class="nm">+ <span class="fr"><span>1</span><span>2</span></span>|10⟩ + <span class="fr"><span>1</span><span>2</span></span>|11⟩}</span></p>
+              <div class="st-trees"><svg class="st-tree" viewBox="0 0 200 134" role="img" aria-label="Tree for |00⟩: leaves 1, 0, 0, 0"><g class="edges"><path d="M100 14 L50 50 M100 14 L150 50 M50 50 L25 82 M50 50 L75 82 M150 50 L125 82 M150 50 L175 82"/></g><circle class="nd" cx="100" cy="14" r="4.5"/><circle class="nd" cx="50" cy="50" r="4.5"/><circle class="nd" cx="150" cy="50" r="4.5"/><g class="leaf"><rect x="1" y="82" width="48" height="28" rx="2"/><text class="amp" x="25" y="101.5" text-anchor="middle">1</text><text class="ket" x="25" y="128" text-anchor="middle">00</text></g><g class="leaf zero"><rect x="51" y="82" width="48" height="28" rx="2"/><text class="amp" x="75" y="101.5" text-anchor="middle">0</text><text class="ket" x="75" y="128" text-anchor="middle">01</text></g><g class="leaf zero"><rect x="101" y="82" width="48" height="28" rx="2"/><text class="amp" x="125" y="101.5" text-anchor="middle">0</text><text class="ket" x="125" y="128" text-anchor="middle">10</text></g><g class="leaf zero"><rect x="151" y="82" width="48" height="28" rx="2"/><text class="amp" x="175" y="101.5" text-anchor="middle">0</text><text class="ket" x="175" y="128" text-anchor="middle">11</text></g></svg><svg class="st-tree" viewBox="0 0 200 134" role="img" aria-label="Tree for the equal superposition: all four leaves ½"><g class="edges"><path d="M100 14 L50 50 M100 14 L150 50 M50 50 L25 82 M50 50 L75 82 M150 50 L125 82 M150 50 L175 82"/></g><circle class="nd" cx="100" cy="14" r="4.5"/><circle class="nd" cx="50" cy="50" r="4.5"/><circle class="nd" cx="150" cy="50" r="4.5"/><g class="leaf"><rect x="1" y="82" width="48" height="28" rx="2"/><text class="amp" x="25" y="101.5" text-anchor="middle">1/2</text><text class="ket" x="25" y="128" text-anchor="middle">00</text></g><g class="leaf"><rect x="51" y="82" width="48" height="28" rx="2"/><text class="amp" x="75" y="101.5" text-anchor="middle">1/2</text><text class="ket" x="75" y="128" text-anchor="middle">01</text></g><g class="leaf"><rect x="101" y="82" width="48" height="28" rx="2"/><text class="amp" x="125" y="101.5" text-anchor="middle">1/2</text><text class="ket" x="125" y="128" text-anchor="middle">10</text></g><g class="leaf"><rect x="151" y="82" width="48" height="28" rx="2"/><text class="amp" x="175" y="101.5" text-anchor="middle">1/2</text><text class="ket" x="175" y="128" text-anchor="middle">11</text></g></svg></div>
+              <p class="gloss">Two states: the basis state <span class="m">|00⟩</span> and the equal superposition of all four basis states.</p>
+            </div>
+            <figure class="code soft">
+              <figcaption class="cap">Run on a circuit with no gates</figcaption>
+<pre><code><span class="pr">$ </span>autoq ex pre.hsl circuit0.qasm
+<span class="out">OUTPUT:
+{(1/1)|00&gt;,
+ (1/2)|00&gt; + (1/2)|01&gt; + (1/2)|10&gt; + (1/2)|11&gt;}</span></code></pre>
+            </figure>
+          </div>
+        </li>
+        <li class="step" data-step="1" data-tab="x qb[0]">
+          <h3 class="step-head"><span class="n">1</span> <code>x qb[0];</code></h3>
+          <div class="step-grid">
+            <div>
+              <p class="set">{|10⟩, <span class="nm"><span class="fr"><span>1</span><span>2</span></span>|10⟩ + <span class="fr"><span>1</span><span>2</span></span>|11⟩</span> <span class="nm">+ <span class="fr"><span>1</span><span>2</span></span>|00⟩ + <span class="fr"><span>1</span><span>2</span></span>|01⟩}</span></p>
+              <div class="st-trees"><svg class="st-tree" viewBox="0 0 200 134" role="img" aria-label="Tree for |10⟩: leaves 0, 0, 1, 0; leaves 00 and 10 changed"><g class="edges"><path d="M100 14 L50 50 M100 14 L150 50 M50 50 L25 82 M50 50 L75 82 M150 50 L125 82 M150 50 L175 82"/></g><circle class="nd" cx="100" cy="14" r="4.5"/><circle class="nd" cx="50" cy="50" r="4.5"/><circle class="nd" cx="150" cy="50" r="4.5"/><g class="leaf zero chg"><rect x="1" y="82" width="48" height="28" rx="2"/><text class="amp" x="25" y="101.5" text-anchor="middle">0</text><text class="ket" x="25" y="128" text-anchor="middle">00</text></g><g class="leaf zero"><rect x="51" y="82" width="48" height="28" rx="2"/><text class="amp" x="75" y="101.5" text-anchor="middle">0</text><text class="ket" x="75" y="128" text-anchor="middle">01</text></g><g class="leaf chg"><rect x="101" y="82" width="48" height="28" rx="2"/><text class="amp" x="125" y="101.5" text-anchor="middle">1</text><text class="ket" x="125" y="128" text-anchor="middle">10</text></g><g class="leaf zero"><rect x="151" y="82" width="48" height="28" rx="2"/><text class="amp" x="175" y="101.5" text-anchor="middle">0</text><text class="ket" x="175" y="128" text-anchor="middle">11</text></g></svg><svg class="st-tree" viewBox="0 0 200 134" role="img" aria-label="Tree for the equal superposition: all four leaves ½, unchanged"><g class="edges"><path d="M100 14 L50 50 M100 14 L150 50 M50 50 L25 82 M50 50 L75 82 M150 50 L125 82 M150 50 L175 82"/></g><circle class="nd" cx="100" cy="14" r="4.5"/><circle class="nd" cx="50" cy="50" r="4.5"/><circle class="nd" cx="150" cy="50" r="4.5"/><g class="leaf"><rect x="1" y="82" width="48" height="28" rx="2"/><text class="amp" x="25" y="101.5" text-anchor="middle">1/2</text><text class="ket" x="25" y="128" text-anchor="middle">00</text></g><g class="leaf"><rect x="51" y="82" width="48" height="28" rx="2"/><text class="amp" x="75" y="101.5" text-anchor="middle">1/2</text><text class="ket" x="75" y="128" text-anchor="middle">01</text></g><g class="leaf"><rect x="101" y="82" width="48" height="28" rx="2"/><text class="amp" x="125" y="101.5" text-anchor="middle">1/2</text><text class="ket" x="125" y="128" text-anchor="middle">10</text></g><g class="leaf"><rect x="151" y="82" width="48" height="28" rx="2"/><text class="amp" x="175" y="101.5" text-anchor="middle">1/2</text><text class="ket" x="175" y="128" text-anchor="middle">11</text></g></svg></div>
+              <p class="gloss">X flips the left bit, so in every tree the two halves under the root swap. The equal superposition maps onto itself, which is why its tree and its line of output do not change.</p>
+            </div>
+            <figure class="code soft">
+              <figcaption class="cap">Run on the circuit up to this gate</figcaption>
+<pre><code><span class="pr">$ </span>autoq ex pre.hsl circuit1.qasm
+<span class="out">OUTPUT:
+{(1/1)|10&gt;,
+ (1/2)|00&gt; + (1/2)|01&gt; + (1/2)|10&gt; + (1/2)|11&gt;}</span></code></pre>
+            </figure>
+          </div>
+        </li>
+        <li class="step" data-step="2" data-tab="x qb[1]">
+          <h3 class="step-head"><span class="n">2</span> <code>x qb[1];</code></h3>
+          <div class="step-grid">
+            <div>
+              <p class="set">{|11⟩, <span class="nm"><span class="fr"><span>1</span><span>2</span></span>|11⟩ + <span class="fr"><span>1</span><span>2</span></span>|10⟩</span> <span class="nm">+ <span class="fr"><span>1</span><span>2</span></span>|01⟩ + <span class="fr"><span>1</span><span>2</span></span>|00⟩}</span></p>
+              <div class="st-trees"><svg class="st-tree" viewBox="0 0 200 134" role="img" aria-label="Tree for |11⟩: leaves 0, 0, 0, 1; leaves 10 and 11 changed"><g class="edges"><path d="M100 14 L50 50 M100 14 L150 50 M50 50 L25 82 M50 50 L75 82 M150 50 L125 82 M150 50 L175 82"/></g><circle class="nd" cx="100" cy="14" r="4.5"/><circle class="nd" cx="50" cy="50" r="4.5"/><circle class="nd" cx="150" cy="50" r="4.5"/><g class="leaf zero"><rect x="1" y="82" width="48" height="28" rx="2"/><text class="amp" x="25" y="101.5" text-anchor="middle">0</text><text class="ket" x="25" y="128" text-anchor="middle">00</text></g><g class="leaf zero"><rect x="51" y="82" width="48" height="28" rx="2"/><text class="amp" x="75" y="101.5" text-anchor="middle">0</text><text class="ket" x="75" y="128" text-anchor="middle">01</text></g><g class="leaf zero chg"><rect x="101" y="82" width="48" height="28" rx="2"/><text class="amp" x="125" y="101.5" text-anchor="middle">0</text><text class="ket" x="125" y="128" text-anchor="middle">10</text></g><g class="leaf chg"><rect x="151" y="82" width="48" height="28" rx="2"/><text class="amp" x="175" y="101.5" text-anchor="middle">1</text><text class="ket" x="175" y="128" text-anchor="middle">11</text></g></svg><svg class="st-tree" viewBox="0 0 200 134" role="img" aria-label="Tree for the equal superposition: all four leaves ½, unchanged"><g class="edges"><path d="M100 14 L50 50 M100 14 L150 50 M50 50 L25 82 M50 50 L75 82 M150 50 L125 82 M150 50 L175 82"/></g><circle class="nd" cx="100" cy="14" r="4.5"/><circle class="nd" cx="50" cy="50" r="4.5"/><circle class="nd" cx="150" cy="50" r="4.5"/><g class="leaf"><rect x="1" y="82" width="48" height="28" rx="2"/><text class="amp" x="25" y="101.5" text-anchor="middle">1/2</text><text class="ket" x="25" y="128" text-anchor="middle">00</text></g><g class="leaf"><rect x="51" y="82" width="48" height="28" rx="2"/><text class="amp" x="75" y="101.5" text-anchor="middle">1/2</text><text class="ket" x="75" y="128" text-anchor="middle">01</text></g><g class="leaf"><rect x="101" y="82" width="48" height="28" rx="2"/><text class="amp" x="125" y="101.5" text-anchor="middle">1/2</text><text class="ket" x="125" y="128" text-anchor="middle">10</text></g><g class="leaf"><rect x="151" y="82" width="48" height="28" rx="2"/><text class="amp" x="175" y="101.5" text-anchor="middle">1/2</text><text class="ket" x="175" y="128" text-anchor="middle">11</text></g></svg></div>
+              <p class="gloss">X flips the right bit, so under each node of the next level the two leaves swap.</p>
+            </div>
+            <figure class="code soft">
+              <figcaption class="cap">Run on the circuit up to this gate</figcaption>
+<pre><code><span class="pr">$ </span>autoq ex pre.hsl circuit2.qasm
+<span class="out">OUTPUT:
+{(1/1)|11&gt;,
+ (1/2)|00&gt; + (1/2)|01&gt; + (1/2)|10&gt; + (1/2)|11&gt;}</span></code></pre>
+            </figure>
+          </div>
+        </li>
+        <li class="step" data-step="3" data-tab="h qb[1]">
+          <h3 class="step-head"><span class="n">3</span> <code>h qb[1];</code></h3>
+          <div class="step-grid">
+            <div>
+              <p class="set"><span class="nm"><i>C</i>(ℒ(<i>P</i>)) =</span> {<span class="nm">|10⟩/√2 − |11⟩/√2,</span> <span class="nm">|10⟩/√2 + |00⟩/√2}</span></p>
+              <div class="st-trees"><svg class="st-tree" viewBox="0 0 200 134" role="img" aria-label="Tree for |10⟩/√2 − |11⟩/√2: leaves 0, 0, 1/√2, −1/√2; leaves 10 and 11 changed"><g class="edges"><path d="M100 14 L50 50 M100 14 L150 50 M50 50 L25 82 M50 50 L75 82 M150 50 L125 82 M150 50 L175 82"/></g><circle class="nd" cx="100" cy="14" r="4.5"/><circle class="nd" cx="50" cy="50" r="4.5"/><circle class="nd" cx="150" cy="50" r="4.5"/><g class="leaf zero"><rect x="1" y="82" width="48" height="28" rx="2"/><text class="amp" x="25" y="101.5" text-anchor="middle">0</text><text class="ket" x="25" y="128" text-anchor="middle">00</text></g><g class="leaf zero"><rect x="51" y="82" width="48" height="28" rx="2"/><text class="amp" x="75" y="101.5" text-anchor="middle">0</text><text class="ket" x="75" y="128" text-anchor="middle">01</text></g><g class="leaf chg"><rect x="101" y="82" width="48" height="28" rx="2"/><text class="amp long" x="125" y="101.5" text-anchor="middle">1/√2</text><text class="ket" x="125" y="128" text-anchor="middle">10</text></g><g class="leaf chg"><rect x="151" y="82" width="48" height="28" rx="2"/><text class="amp long" x="175" y="101.5" text-anchor="middle">−1/√2</text><text class="ket" x="175" y="128" text-anchor="middle">11</text></g></svg><svg class="st-tree" viewBox="0 0 200 134" role="img" aria-label="Tree for |00⟩/√2 + |10⟩/√2: leaves 1/√2, 0, 1/√2, 0; all four leaves changed"><g class="edges"><path d="M100 14 L50 50 M100 14 L150 50 M50 50 L25 82 M50 50 L75 82 M150 50 L125 82 M150 50 L175 82"/></g><circle class="nd" cx="100" cy="14" r="4.5"/><circle class="nd" cx="50" cy="50" r="4.5"/><circle class="nd" cx="150" cy="50" r="4.5"/><g class="leaf chg"><rect x="1" y="82" width="48" height="28" rx="2"/><text class="amp long" x="25" y="101.5" text-anchor="middle">1/√2</text><text class="ket" x="25" y="128" text-anchor="middle">00</text></g><g class="leaf zero chg"><rect x="51" y="82" width="48" height="28" rx="2"/><text class="amp" x="75" y="101.5" text-anchor="middle">0</text><text class="ket" x="75" y="128" text-anchor="middle">01</text></g><g class="leaf chg"><rect x="101" y="82" width="48" height="28" rx="2"/><text class="amp long" x="125" y="101.5" text-anchor="middle">1/√2</text><text class="ket" x="125" y="128" text-anchor="middle">10</text></g><g class="leaf zero chg"><rect x="151" y="82" width="48" height="28" rx="2"/><text class="amp" x="175" y="101.5" text-anchor="middle">0</text><text class="ket" x="175" y="128" text-anchor="middle">11</text></g></svg></div>
+              <p class="gloss">H on <code>qb[1]</code> mixes each pair of sibling leaves <span class="m"><i>a</i>, <i>b</i></span> into <span class="m">(<i>a</i>+<i>b</i>)/√2</span> and <span class="m">(<i>a</i>−<i>b</i>)/√2</span>. This is the final set <span class="m"><i>C</i>(ℒ(<i>P</i>))</span>; AutoQ prints <span class="m">1/√2</span> as <code>sqrt2*1/2</code>.</p>
+            </div>
+            <figure class="code soft">
+              <figcaption class="cap">Run on the whole circuit</figcaption>
+<pre><code><span class="pr">$ </span>autoq ex pre.hsl circuit.qasm
+<span class="out">OUTPUT:
+{(sqrt2*1/2)|10&gt; + (sqrt2*-1/2)|11&gt;,
+ (sqrt2*1/2)|00&gt; + (sqrt2*1/2)|10&gt;}</span></code></pre>
+            </figure>
+          </div>
+        </li>
+        <li class="step" data-step="4" data-tab="Check">
+          <h3 class="step-head"><span class="n">4</span> Check against two postconditions</h3>
+          <div class="verdicts">
+            <div class="verdict">
+              <h4>Postcondition <span class="m"><i>Q</i><sub>1</sub></span> passes</h4>
+              <figure class="code soft">
+                <figcaption class="cap"><code>post_Q1.hsl</code></figcaption>
+<pre><code><span class="kw">Extended Dirac</span>
+{|10&gt; - |11&gt;, |10&gt; + |00&gt;}</code></pre>
+              </figure>
+              <figure class="code soft">
+<pre><code><span class="pr">$ </span>autoq ver pre.hsl circuit.qasm post_Q1.hsl
+<span class="out">The quantum program has [2] qubits and [3] gates. The verification process <span class="ok">[OK]</span> in [0.2s] with [77MB] memory usage.</span></code></pre>
+              </figure>
+              <p class="gloss">The same two states without the <span class="m">1/√2</span> factors. They match up to scaling, so the check passes.</p>
+            </div>
+            <div class="verdict">
+              <h4>Postcondition <span class="m"><i>Q</i><sub>2</sub></span> fails</h4>
+              <figure class="code soft">
+                <figcaption class="cap"><code>post_Q2.hsl</code></figcaption>
+<pre><code><span class="kw">Extended Dirac</span>
+{|10&gt; - |11&gt;, |10&gt; - |00&gt;}</code></pre>
+              </figure>
+              <figure class="code soft">
+<pre><code><span class="pr">$ </span>autoq ver pre.hsl circuit.qasm post_Q2.hsl
+<span class="out">The quantum program has [2] qubits and [3] gates. The verification process <span class="fail">[failed]</span> in [0.1s] with [77MB] memory usage.</span></code></pre>
+              </figure>
+              <p class="gloss">One sign is flipped. The state <span class="m">|10⟩/√2 + |00⟩/√2</span> is in <span class="m"><i>C</i>(ℒ(<i>P</i>))</span>, but no nonzero factor turns it into a state of <span class="m">ℒ(<i>Q</i><sub>2</sub>)</span>.</p>
+            </div>
+          </div>
+        </li>
+      </ol>
+    </div>
+  </div>
+</section>
+
+<!-- 3 ============================================================ -->
+<section class="chapter" id="start" aria-labelledby="h-start">
+  <div class="wrap">
+    <h2 id="h-start"><span class="secnum" aria-hidden="true">3</span>Get started</h2>
+    <div class="row">
+      <div class="main">
+        <p class="lede">AutoQ builds from source on Linux (Ubuntu or Debian), macOS and WSL2. Four steps take you from a fresh clone to a verified program.</p>
+        <ol class="qs">
+          <li>
+            <h3 class="qs-h">Clone the repository</h3>
+            <figure class="code" data-copy>
+              <figcaption class="cap">Clone</figcaption>
+<pre tabindex="0"><code><span class="cmd">git clone https://github.com/fmlab-iis/AutoQ.git</span>
+<span class="cmd">cd AutoQ</span></code></pre>
+            </figure>
+          </li>
+          <li>
+            <h3 class="qs-h">Install the dependencies</h3>
+            <div class="pair">
+              <figure class="code" data-copy>
+                <figcaption class="cap">Ubuntu, Debian, WSL2</figcaption>
+<pre tabindex="0"><code><span class="cmd">sudo ./install-dependencies.sh</span></code></pre>
+              </figure>
+              <figure class="code" data-copy>
+                <figcaption class="cap">macOS</figcaption>
+<pre tabindex="0"><code><span class="cmd">./install-dependencies.sh</span></code></pre>
+              </figure>
+            </div>
+            <p class="small">On Ubuntu and Debian, including under WSL2, the <a href="https://github.com/fmlab-iis/AutoQ/blob/main/install-dependencies.sh">script</a> installs g++, make, cmake, libboost-filesystem-dev, libboost-test-dev and libantlr4-runtime-dev with apt, so run it with sudo. On macOS, run it without sudo: it uses Homebrew to install gcc, make, cmake, boost and antlr4-cpp-runtime.</p>
+          </li>
+          <li>
+            <h3 class="qs-h">Build and test</h3>
+            <figure class="code" data-copy>
+              <figcaption class="cap">Build and test</figcaption>
+<pre tabindex="0"><code><span class="cmd">make</span>
+<span class="cmd">make test</span></code></pre>
+            </figure>
+            <p class="small"><code>make</code> compiles AutoQ with optimizations, and <code>make test</code> runs the unit tests. The binary is <code>build/cli/autoq</code>. For a debug build, run <code>make debug</code> instead of <code>make</code>.</p>
+          </li>
+          <li>
+            <h3 class="qs-h">Verify a program</h3>
+            <p><code>ver</code> is the mode used most often in the AutoQ papers. It takes a precondition, a circuit and a postcondition. Here it checks the README’s example, a Grover’s search benchmark on five qubits.</p>
+            <figure class="code" data-copy>
+              <figcaption class="cap">Verify the example</figcaption>
+<pre tabindex="0"><code><span class="pr">$ </span><span class="cmd">./build/cli/autoq ver \
+    benchmarks/all/Grover/03/pre.hsl \
+    benchmarks/all/Grover/03/circuit.qasm \
+    benchmarks/all/Grover/03/post.hsl</span><span class="out flow">The quantum program has [5] qubits and [52] gates. The verification process <span class="ok">[OK]</span> in [0.1s] with [77MB] memory usage.</span></code></pre>
+            </figure>
+            <p class="small">Times and memory figures in the outputs on this page come from one machine and will vary on yours.</p>
+            <div class="pair lopsided">
+              <figure class="code">
+                <figcaption class="cap"><code>pre.hsl</code></figcaption>
+<pre tabindex="0"><code><span class="kw">Constants</span>
+c1 := 1
+<span class="kw">Extended Dirac</span>
+{c1 |00000&gt;}</code></pre>
+              </figure>
+              <figure class="code">
+                <figcaption class="cap"><code>post.hsl</code></figcaption>
+<pre tabindex="0"><code><span class="kw">Constants</span>
+aH := 11 / (sqrt2 ^ 7)
+aL := -1 / (sqrt2 ^ 7)
+<span class="kw">Extended Dirac</span>
+{aH |01001&gt; + aL ∑ |i|=3, i≠010 |i01&gt;}</code></pre>
+              </figure>
+            </div>
+            <p class="small">The <a href="https://github.com/fmlab-iis/AutoQ/tree/main/demo">demo</a> folder has more small examples, including Bernstein–Vazirani and a Grover iteration.</p>
+          </li>
+        </ol>
+      </div>
+      <aside class="side">
+        <p>Z3 is bundled. To use a system-installed Z3, change <code class="long">option(USE_SYSTEM_Z3 ... OFF)</code> to <code>ON</code> in the top-level <code>CMakeLists.txt</code> before building.</p>
+        <p><a href="https://github.com/fmlab-iis/AutoQ/actions">Continuous integration</a> runs twelve jobs: build and test, debug and release, on Ubuntu, macOS and WSL2.</p>
+        <p>AutoQ prints its verdict as <span class="ok">[OK]</span> or <span class="fail">[failed]</span>. The exit status is 0 for both, and non-zero only on errors such as a parse error, an unsupported gate or misaligned specifications.</p>
+      </aside>
+    </div>
+    <h3>Commands</h3>
+        <dl class="cmds">
+          <div><dt>ex</dt><dd><code class="use">autoq ex [OPTIONS] pre.hsl circuit.qasm</code><br>Execute a quantum circuit with a given precondition.<br><span class="opts">Option: <code>--loopsum</code></span></dd></div>
+          <div><dt>ver</dt><dd><code class="use">autoq ver [OPTIONS] pre.hsl circuit.qasm post.hsl</code><br>Verify the execution result against a given postcondition.<br><span class="opts">Options: <code>--loopsum</code>, <code>-l, --latex</code></span></dd></div>
+          <div><dt>eq</dt><dd><code class="use">autoq eq [OPTIONS] circuit1.qasm circuit2.qasm</code><br>Check equivalence of two given quantum circuits.<br><span class="opts">Option: <code>--loopsum</code></span></dd></div>
+          <div><dt>print</dt><dd><code class="use">autoq print [OPTIONS] states.hsl</code><br>Print the set of quantum states.</dd></div>
+        </dl>
+        <p class="caption"><code>--loopsum</code> summarizes loops using symbolic execution. <code>-l, --latex</code> on <code>ver</code> prints the statistics for tables in LaTeX. <code>autoq -v</code> prints the full Git commit hash.</p>
+  </div>
+</section>
+
+<!-- 4 ============================================================ -->
+<section class="chapter" id="features" aria-labelledby="h-features">
+  <div class="wrap">
+    <h2 id="h-features"><span class="secnum" aria-hidden="true">4</span>From circuits to programs</h2>
+    <div class="row">
+      <div class="main">
+        <p class="lede">AutoQ 2.0 goes beyond straight-line circuits. It verifies programs that measure, branch and loop, and it accepts symbolic amplitudes in specifications. AutoQ can also check whether two circuits are equivalent.</p>
+      </div>
+    </div>
+
+    <h3 id="symbolic"><span class="subnum">4.1</span> Symbolic amplitudes</h3>
+    <div class="row">
+      <div class="main">
+        <p>An amplitude may use names that are not declared in the <code>Constants</code> section. AutoQ treats them as free symbolic variables, which the optional <code>Constraints</code> section can restrict. The precondition below, <span class="m">{<i>x</i>|0⟩ + <i>y</i>|1⟩}</span>, therefore stands for every state of that form, and the postcondition requires each amplitude to come back unchanged.</p>
+        <div class="pair">
+          <figure class="code" data-copy>
+            <figcaption class="cap"><code>benchmarks/all/H2Sym/pre.hsl</code></figcaption>
+<pre tabindex="0"><code><span class="kw">Extended Dirac</span>
+{x |0&gt; + y |1&gt;}</code></pre>
+          </figure>
+          <figure class="code" data-copy>
+            <figcaption class="cap"><code>H2Sym/post.hsl</code></figcaption>
+<pre tabindex="0"><code><span class="kw">Extended Dirac</span>
+{p1 |0&gt; + p2 |1&gt;}
+<span class="kw">Constraints</span>
+real(p1) = real(x)
+imag(p1) = imag(x)
+real(p2) = real(y)
+imag(p2) = imag(y)</code></pre>
+          </figure>
+        </div>
+        <p>Applying H twice passes. In the <code>H2BugSym</code> benchmark the second H is replaced by Y, and verification fails.</p>
+        <div class="pair">
+          <figure class="code soft">
+            <figcaption class="cap">Gates of <code>H2Sym/circuit.qasm</code>, and the run</figcaption>
+<pre><code>h qubits[0];
+h qubits[0];
+<span class="pr">$ </span>autoq ver pre.hsl circuit.qasm post.hsl
+<span class="out">The quantum program has [1] qubits and [2] gates. The verification process <span class="ok">[OK]</span> in [0.2s] with [85MB] memory usage.</span></code></pre>
+          </figure>
+          <figure class="code soft">
+            <figcaption class="cap">Gates of <code>H2BugSym/circuit.qasm</code>, and the run</figcaption>
+<pre><code>h qubits[0];
+y qubits[0];
+<span class="pr">$ </span>autoq ver pre.hsl circuit.qasm post.hsl
+<span class="out">The quantum program has [1] qubits and [2] gates. The verification process <span class="fail">[failed]</span> in [0.2s] with [86MB] memory usage.</span></code></pre>
+          </figure>
+        </div>
+      </div>
+      <aside class="side">
+        <p>When the precondition, postcondition or a loop invariant is symbolic, AutoQ builds symbolic automata and solves their constraints with Z3, which is bundled with the repository.</p>
+      </aside>
+    </div>
+
+    <h3 id="control"><span class="subnum">4.2</span> Measurement, branching and loops</h3>
+    <div class="row">
+      <div class="main">
+        <p>A program can measure a qubit into a classical bit and then branch on it with <code>if</code> and <code>else</code>, or loop on it with <code>while</code>. The <code>if</code> block runs on the states where the outcome is 1, the <code>else</code> block on those where it is 0, and AutoQ joins the two results. Both <code>if (!c)</code> and <code>while (!c)</code> are allowed, and <code>else</code> is optional.</p>
+        <p>A <code>while</code> loop needs a measurement just before the loop and at the end of its body, plus a loop invariant: a set of states in its own <code>.hsl</code> file, named in a comment on the <code>while</code> line. AutoQ checks that the states reaching the loop lie in the invariant, and that one pass of the body maps the invariant’s continuing states back into it. It then carries on with the states that leave the loop.</p>
+        <figure class="code" data-copy>
+          <figcaption class="cap"><code>benchmarks/all/control_mini/while/circuit.qasm</code></figcaption>
+<pre tabindex="0"><code>OPENQASM 3;
+include "stdgates.inc";
+qubit[2] qb;
+bit[2] outcome;
+
+h qb[0];
+cx qb[0], qb[1];
+outcome[0] = measure qb[0];
+while (!outcome[0]) { <span class="cm">// loop-invariant.hsl</span>
+    x qb[0];
+    h qb[0];
+    cx qb[0], qb[1];
+    outcome[0] = measure qb[0];
+}</code></pre>
+        </figure>
+        <div class="pair">
+          <figure class="code" data-copy>
+            <figcaption class="cap"><code>loop-invariant.hsl</code></figcaption>
+<pre tabindex="0"><code><span class="kw">Extended Dirac</span>
+{|00&gt; - |11&gt;,
+ |01&gt; - |10&gt;}</code></pre>
+          </figure>
+          <figure class="code" data-copy>
+            <figcaption class="cap"><code>pre.hsl</code> and <code>post.hsl</code> (identical)</figcaption>
+<pre tabindex="0"><code><span class="kw">Extended Dirac</span>
+{|10&gt;, |11&gt;}</code></pre>
+          </figure>
+        </div>
+        <figure class="code soft">
+<pre><code><span class="pr">$ </span>autoq ver pre.hsl circuit.qasm post.hsl
+<span class="out">The quantum program has [2] qubits and [6] gates. The verification process <span class="ok">[OK]</span> in [0.2s] with [84MB] memory usage.</span></code></pre>
+        </figure>
+      </div>
+      <aside class="side">
+        <p>Measurement can only be used together with <code>if</code>/<code>else</code> or <code>while</code>, not on its own.</p>
+        <p>AutoQ does not normalize amplitudes after a measurement. Results stay valid, because every non-normalized state has a unique positive factor that normalizes it.</p>
+        <p>Paths to loop-invariant files are relative to the circuit file.</p>
+        <p>Put <code>else {</code> on its own line, not on the line of the closing <code>}</code> of the <code>if</code> block.</p>
+        <p>More examples: <a href="https://github.com/fmlab-iis/AutoQ/tree/main/benchmarks/all/control_mini">control_mini</a>, and the <code>RUS</code> and <code>GroverWhile</code> benchmarks.</p>
+      </aside>
+    </div>
+
+    <h3 id="loopsum"><span class="subnum">4.3</span> Loop summarization</h3>
+    <div class="row">
+      <div class="main">
+        <p>A loop <code>for int i in [x:y] { C }</code> runs its body <code>C</code> exactly <span class="m"><i>y</i> − <i>x</i> + 1</span> times. By default AutoQ applies the body’s gates one iteration after another. With <code>--loopsum</code> on <code>ex</code> or <code>ver</code>, AutoQ applies its loop summarization algorithm, which uses symbolic execution, to the loop’s body.</p>
+        <figure class="code">
+          <figcaption class="cap">From <a href="https://github.com/fmlab-iis/AutoQ/blob/main/docs/qasm_description.md">docs/qasm_description.md</a></figcaption>
+<pre tabindex="0"><code>...
+qreg qb[1]; <span class="cm">// quantum register</span>
+...
+for int i in [1:2] {
+    h qb[0];
+    t qb[0];
+}
+...</code></pre>
+        </figure>
+      </div>
+    </div>
+
+    <h3 id="eq"><span class="subnum">4.4</span> Circuit equivalence</h3>
+    <div class="row">
+      <div class="main">
+        <p><code>autoq eq</code> checks whether two circuits are equal. A CX gate equals a CZ placed between two H gates on the target qubit; reversing control and target gives a different circuit.</p>
+        <div class="pair">
+          <figure class="code">
+            <figcaption class="cap"><code>a.qasm</code></figcaption>
+<pre tabindex="0"><code>OPENQASM 2.0;
+include "qelib1.inc";
+qreg q[2];
+cx q[0], q[1];</code></pre>
+          </figure>
+          <figure class="code">
+            <figcaption class="cap"><code>b.qasm</code></figcaption>
+<pre tabindex="0"><code>OPENQASM 2.0;
+include "qelib1.inc";
+qreg q[2];
+h q[1];
+cz q[0], q[1];
+h q[1];</code></pre>
+          </figure>
+        </div>
+        <figure class="code soft">
+<pre><code><span class="pr">$ </span>autoq eq a.qasm b.qasm
+<span class="out">The two quantum programs are verified to be <span class="ok">[equal]</span> in [0.0s] with [7MB] memory usage.</span>
+<span class="pr">$ </span>autoq eq a.qasm c.qasm  <span class="cm"># c.qasm: cx q[1], q[0];</span>
+<span class="out">The two quantum programs are verified to be <span class="fail">[unequal]</span> in [0.0s] with [7MB] memory usage.</span></code></pre>
+        </figure>
+      </div>
+      <aside class="side">
+        <p><code>eq</code> reads the number of qubits from a <code>qreg</code> declaration, so write both circuits in the OpenQASM 2.0 style shown here.</p>
+      </aside>
+    </div>
+
+    <h3 id="gates"><span class="subnum">4.5</span> Gate set</h3>
+    <div class="row">
+      <div class="main">
+        <p>AutoQ documents the fourteen gates below, written in OpenQASM with the spelling shown under each. Gates the parser does not recognise, such as <code>u3</code> or <code>cy</code>, stop the run with an <code>unsupported gate</code> error.</p>
+      </div>
+    </div>
+    <ul class="gates" aria-label="Supported gates">
+      <li><svg viewBox="0 0 64 48" aria-hidden="true"><line class="w" x1="0" y1="24" x2="64" y2="24"/><rect class="b" x="18" y="9" width="28" height="30"/><text x="32" y="30" text-anchor="middle">X</text></svg><span class="gtxt"><span class="gname">X</span><code>x</code></span></li>
+      <li><svg viewBox="0 0 64 48" aria-hidden="true"><line class="w" x1="0" y1="24" x2="64" y2="24"/><rect class="b" x="18" y="9" width="28" height="30"/><text x="32" y="30" text-anchor="middle">Y</text></svg><span class="gtxt"><span class="gname">Y</span><code>y</code></span></li>
+      <li><svg viewBox="0 0 64 48" aria-hidden="true"><line class="w" x1="0" y1="24" x2="64" y2="24"/><rect class="b" x="18" y="9" width="28" height="30"/><text x="32" y="30" text-anchor="middle">Z</text></svg><span class="gtxt"><span class="gname">Z</span><code>z</code></span></li>
+      <li><svg viewBox="0 0 64 48" aria-hidden="true"><line class="w" x1="0" y1="24" x2="64" y2="24"/><rect class="b" x="18" y="9" width="28" height="30"/><text x="32" y="30" text-anchor="middle">H</text></svg><span class="gtxt"><span class="gname">H</span><code>h</code></span></li>
+      <li><svg viewBox="0 0 64 48" aria-hidden="true"><line class="w" x1="0" y1="24" x2="64" y2="24"/><rect class="b" x="18" y="9" width="28" height="30"/><text x="32" y="30" text-anchor="middle">T</text></svg><span class="gtxt"><span class="gname">T</span><code>t</code></span></li>
+      <li><svg viewBox="0 0 64 48" aria-hidden="true"><line class="w" x1="0" y1="24" x2="64" y2="24"/><rect class="b" x="14" y="9" width="36" height="30"/><text x="32" y="30" text-anchor="middle">T†</text></svg><span class="gtxt"><span class="gname">T†</span><code>tdg</code></span></li>
+      <li><svg viewBox="0 0 64 48" aria-hidden="true"><line class="w" x1="0" y1="24" x2="64" y2="24"/><rect class="b" x="18" y="9" width="28" height="30"/><text x="32" y="30" text-anchor="middle">S</text></svg><span class="gtxt"><span class="gname">S</span><code>s</code></span></li>
+      <li><svg viewBox="0 0 64 48" aria-hidden="true"><line class="w" x1="0" y1="24" x2="64" y2="24"/><rect class="b" x="14" y="9" width="36" height="30"/><text x="32" y="30" text-anchor="middle">S†</text></svg><span class="gtxt"><span class="gname">S†</span><code>sdg</code></span></li>
+      <li><svg viewBox="0 0 64 48" aria-hidden="true"><line class="w" x1="0" y1="24" x2="64" y2="24"/><rect class="b" x="14" y="9" width="36" height="30"/><text x="30" y="30" text-anchor="middle">R<tspan font-size="11" dy="4" font-style="italic">x</tspan></text></svg><span class="gtxt"><span class="gname">R<sub>x</sub>(π/2)</span><code>rx(pi/2)</code></span></li>
+      <li><svg viewBox="0 0 64 48" aria-hidden="true"><line class="w" x1="0" y1="24" x2="64" y2="24"/><rect class="b" x="14" y="9" width="36" height="30"/><text x="30" y="30" text-anchor="middle">R<tspan font-size="11" dy="4" font-style="italic">y</tspan></text></svg><span class="gtxt"><span class="gname">R<sub>y</sub>(π/2)</span><code>ry(pi/2)</code></span></li>
+      <li><svg viewBox="0 0 64 48" aria-hidden="true"><line class="w" x1="0" y1="12" x2="64" y2="12"/><line class="w" x1="0" y1="36" x2="64" y2="36"/><line class="s" x1="32" y1="12" x2="32" y2="44"/><circle class="d" cx="32" cy="12" r="3.6"/><circle class="s" cx="32" cy="36" r="8"/><line class="s" x1="24" y1="36" x2="40" y2="36"/></svg><span class="gtxt"><span class="gname">CX</span><code>cx</code></span></li>
+      <li><svg viewBox="0 0 64 48" aria-hidden="true"><line class="w" x1="0" y1="12" x2="64" y2="12"/><line class="w" x1="0" y1="36" x2="64" y2="36"/><line class="s" x1="32" y1="12" x2="32" y2="36"/><circle class="d" cx="32" cy="12" r="3.6"/><circle class="d" cx="32" cy="36" r="3.6"/></svg><span class="gtxt"><span class="gname">CZ</span><code>cz</code></span></li>
+      <li><svg viewBox="0 0 64 48" aria-hidden="true"><line class="w" x1="0" y1="6" x2="64" y2="6"/><line class="w" x1="0" y1="22" x2="64" y2="22"/><line class="w" x1="0" y1="40" x2="64" y2="40"/><line class="s" x1="32" y1="6" x2="32" y2="47"/><circle class="d" cx="32" cy="6" r="3.4"/><circle class="d" cx="32" cy="22" r="3.4"/><circle class="s" cx="32" cy="40" r="7"/><line class="s" x1="25" y1="40" x2="39" y2="40"/></svg><span class="gtxt"><span class="gname">CCX</span><code>ccx</code></span></li>
+      <li><svg viewBox="0 0 64 48" aria-hidden="true"><line class="w" x1="0" y1="12" x2="64" y2="12"/><line class="w" x1="0" y1="36" x2="64" y2="36"/><line class="s" x1="32" y1="12" x2="32" y2="36"/><path class="s" d="M27 7 L37 17 M37 7 L27 17 M27 31 L37 41 M37 31 L27 41"/></svg><span class="gtxt"><span class="gname">SWAP</span><code>swap</code></span></li>
+    </ul>
+  </div>
+</section>
+
+<!-- 5 ============================================================ -->
+<section class="chapter" id="formats" aria-labelledby="h-formats">
+  <div class="wrap">
+    <h2 id="h-formats"><span class="secnum" aria-hidden="true">5</span>Writing specifications</h2>
+    <div class="row">
+      <div class="main">
+        <p class="lede">Preconditions, postconditions and loop invariants are all sets of quantum states. Specifications are written in <code>.hsl</code> or <code>.lsta</code>; programs in <code>.qasm</code>.</p>
+        <dl class="formats">
+          <div><dt>.hsl</dt><dd><p>A high-level specification language that extends Dirac notation to describe sets of quantum states. A file has a <code>Constants</code> section (optional), an <code>Extended Dirac</code> section, and a <code>Constraints</code> section (optional), in that order.</p><a class="doc" href="https://github.com/fmlab-iis/AutoQ/blob/main/docs/hsl_description.md">The .hsl format</a></dd></div>
+          <div><dt>.qasm</dt><dd><p>OpenQASM 2.0 or 3.0, with very limited syntax: a single quantum register, classical bits used only right before control flow, the fourteen gates above, <code>if</code>/<code>else</code>, <code>while</code> and <code>for</code>.</p><a class="doc" href="https://github.com/fmlab-iis/AutoQ/blob/main/docs/qasm_description.md">The supported OpenQASM subset</a></dd></div>
+          <div><dt>.lsta</dt><dd><p>A set of states written directly as a level-synchronized tree automaton. It keeps <code>Constants</code> and <code>Constraints</code> and replaces <code>Extended Dirac</code> with <code>Root States</code> and <code>Transitions</code>.</p><a class="doc" href="https://github.com/fmlab-iis/AutoQ/blob/main/docs/lsta_description.md">The .lsta format</a></dd></div>
+        </dl>
+      </div>
+    </div>
+
+    <h3>Reading an .hsl file</h3>
+    <div class="row">
+      <div class="main">
+        <p>The <code>GHZall/002</code> benchmark runs a two-qubit circuit, <code class="long">h qubits[0]; cx qubits[0], qubits[1];</code>, on all four basis states at once.</p>
+        <div class="pair">
+          <figure class="code" data-copy>
+            <figcaption class="cap"><code>GHZall/002/pre.hsl</code></figcaption>
+<pre tabindex="0"><code><span class="kw">Constants</span>
+c1 := 1
+<span class="kw">Extended Dirac</span>
+{c1 |ji&gt; : |j|=1, |i|=1}</code></pre>
+          </figure>
+          <figure class="code" data-copy>
+            <figcaption class="cap"><code>GHZall/002/post.hsl</code></figcaption>
+<pre tabindex="0"><code><span class="kw">Constants</span>
+cp := 1/sqrt2
+cn := -1/sqrt2
+<span class="kw">Extended Dirac</span>
+{cp |0i&gt; + cp |1i'&gt; : |i|=1} ∪
+{cp |0i&gt; + cn |1i'&gt; : |i|=1}</code></pre>
+          </figure>
+        </div>
+        <ol class="notes-list">
+          <li><code>{c1 |ji&gt; : |j|=1, |i|=1}</code> lets <code>j</code> and <code>i</code> range over 1-bit strings, so the precondition holds all four basis states. <code>autoq print pre.hsl</code> lists them.</li>
+          <li>In <code>|1i'&gt;</code>, <code>i'</code> is the bitwise complement of <code>i</code>.</li>
+          <li><code>∪</code> joins two sets: here, the states with a plus sign and those with a minus sign.</li>
+        </ol>
+        <div class="pair">
+          <figure class="code soft">
+<pre><code><span class="pr">$ </span>autoq print pre.hsl
+<span class="out">{(1/1)|11&gt;,
+ (1/1)|10&gt;,
+ (1/1)|01&gt;,
+ (1/1)|00&gt;}</span></code></pre>
+          </figure>
+          <figure class="code soft">
+<pre><code><span class="pr">$ </span>autoq ver pre.hsl circuit.qasm post.hsl
+<span class="out">The quantum program has [2] qubits and [2] gates. The verification process <span class="ok">[OK]</span> in [0.1s] with [77MB] memory usage.</span></code></pre>
+          </figure>
+        </div>
+      </div>
+      <aside class="side">
+        <p>Pre-, post- and invariant files must place <code>⊗</code> at the same qubit boundaries, and their variable kets must line up. Otherwise AutoQ stops with an alignment error, for example <code class="long">There are two *.hsl files not aligned!</code></p>
+        <p>Names that are not constants, like <code>x</code> and <code>y</code> in section 4.1, become symbolic variables.</p>
+      </aside>
+    </div>
+
+    <div class="row">
+      <div class="main">
+        <details class="disclose">
+        <summary><span><b>Table 1.</b> Extended Dirac notation at a glance</span></summary>
+        <div class="tbl-wrap">
+          <table class="dirac">
+            <caption class="sr-only">Extended Dirac notation</caption>
+            <thead><tr><th scope="col">Notation</th><th scope="col">Meaning</th><th scope="col">ASCII</th></tr></thead>
+            <tbody>
+              <tr><td><i>S</i> ∪ <i>T</i></td><td>union of two sets of states</td><td></td></tr>
+              <tr><td><i>S</i> ⊗ <i>T</i></td><td>tensor product of two sets</td><td><code>S * T</code></td></tr>
+              <tr><td><i>S</i> ^ <i>n</i></td><td>tensor power</td><td></td></tr>
+              <tr><td>|<i>i</i>⟩, |1<i>i</i>′⟩</td><td>binary-string variable (lowercase), and its complement</td><td><code>|1i'&gt;</code></td></tr>
+              <tr><td>∑ |<i>i</i>|=4, <i>i</i>≠0101 |<i>i</i>⟩</td><td>sum over strings that meet the constraints</td><td><code>Σ</code>, <code>!=</code></td></tr>
+              <tr><td>{ … : |<i>s</i>|=4, <i>s</i>≠0101 }</td><td>set-builder notation with constraints</td><td><code>!=</code></td></tr>
+              <tr><td>= ≠ &lt; ≤ &gt; ≥ ¬ ∧ ∨</td><td>operators in the <code>Constraints</code> section, one conjunct per line</td><td><code>!= &lt;= &gt;= ! &amp;&amp; ||</code></td></tr>
+            </tbody>
+          </table>
+        </div>
+        <p class="caption">Kets can be closed with <code>⟩</code> or <code>&gt;</code>. Constants may use <code>real(c)</code>, <code>imag(c)</code>, <code>eipi(r)</code>, <code>ei2pi(r)</code>, <code>sqrt2</code>, nonnegative integers and <code>+ - * / ^</code>.</p>
+        </details>
+      </div>
+    </div>
+  </div>
+</section>
+
+<!-- 6 ============================================================ -->
+<section class="chapter" id="papers" aria-labelledby="h-papers">
+  <div class="wrap">
+    <h2 id="h-papers"><span class="secnum" aria-hidden="true">6</span>Papers</h2>
+    <div class="row">
+      <div class="main">
+        <p class="lede">Please cite the following papers if you use this tool for your research.</p>
+      </div>
+    </div>
+    <ol class="refs">
+      <li class="ref">
+        <span class="key" aria-hidden="true">[1]</span>
+        <div>
+          <h3><a href="https://dl.acm.org/doi/10.1145/3704868">Verifying Quantum Circuits with Level-Synchronized Tree Automata</a></h3>
+          <p class="authors">Parosh Aziz Abdulla, Yo-Ga Chen, Yu-Fang Chen, Lukáš Holík, Ondřej Lengál, Jyun-Ao Lin, Fang-Yi Lo, Wei-Lun Tsai</p>
+          <p class="venue">Proceedings of the ACM on Programming Languages 9 (POPL), 2025, pp. 923–953</p>
+          <div class="acts">
+            <a href="https://doi.org/10.1145/3704868">doi:10.1145/3704868</a>
+            <a href="https://github.com/fmlab-iis/AutoQ/tree/main/benchmarks/POPL25">Benchmarks: POPL25</a>
+            <button type="button" class="btn-quiet js-only" data-copy-target="bib-popl">Copy BibTeX</button>
+          </div>
+        </div>
+        <details>
+          <summary>BibTeX</summary>
+          <div class="code">
+<pre id="bib-popl" tabindex="0" aria-label="BibTeX for [1]"><code>@article{10.1145/3704868,
+  title = {Verifying Quantum Circuits with Level-Synchronized Tree Automata},
+  author = {Abdulla, Parosh Aziz and Chen, Yo-Ga and Chen, Yu-Fang and Hol\'{\i}k, Luk\'{a}\v{s} and Leng\'{a}l, Ond\v{r}ej and Lin, Jyun-Ao and Lo, Fang-Yi and Tsai, Wei-Lun},
+  journal = {Proceedings of the ACM on Programming Languages},
+  volume = {9},
+  number = {POPL},
+  year = {2025},
+  pages = {923--953},
+  doi = {10.1145/3704868}
+}</code></pre>
+          </div>
+        </details>
+      </li>
+      <li class="ref">
+        <span class="key" aria-hidden="true">[2]</span>
+        <div>
+          <h3><a href="https://link.springer.com/chapter/10.1007/978-3-031-90660-2_5">AutoQ 2.0: From Verification of Quantum Circuits to Verification of Quantum Programs</a></h3>
+          <p class="authors">Yu-Fang Chen, Kai-Min Chung, Min-Hsiu Hsieh, Wei-Jia Huang, Ondřej Lengál, Jyun-Ao Lin, Wei-Lun Tsai</p>
+          <p class="venue">International Conference on Tools and Algorithms for the Construction and Analysis of Systems (TACAS), 2025, pp. 87–108</p>
+          <div class="acts">
+            <a href="https://doi.org/10.1007/978-3-031-90660-2_5">doi:10.1007/978-3-031-90660-2_5</a>
+            <a href="https://github.com/fmlab-iis/AutoQ/tree/main/benchmarks/TACAS25">Benchmarks: TACAS25</a>
+            <button type="button" class="btn-quiet js-only" data-copy-target="bib-tacas">Copy BibTeX</button>
+          </div>
+        </div>
+        <details>
+          <summary>BibTeX</summary>
+          <div class="code">
+<pre id="bib-tacas" tabindex="0" aria-label="BibTeX for [2]"><code>@InProceedings{10.1007/978-3-031-90660-2_5,
+  author = {Chen, Yu-Fang and Chung, Kai-Min and Hsieh, Min-Hsiu and Huang, Wei-Jia and Leng{\'a}l, Ond{\v{r}}ej and Lin, Jyun-Ao and Tsai, Wei-Lun},
+  booktitle = {International Conference on Tools and Algorithms for the Construction and Analysis of Systems (TACAS)},
+  title = {AutoQ 2.0: From Verification of Quantum Circuits to Verification of Quantum Programs},
+  year = {2025},
+  pages = {87--108},
+  doi = {10.1007/978-3-031-90660-2_5}
+}</code></pre>
+          </div>
+        </details>
+      </li>
+    </ol>
+    <div class="row">
+      <div class="main">
+        <p class="caption">The <a href="https://github.com/fmlab-iis/AutoQ/tree/main/benchmarks">benchmarks</a> folder holds all the files used to produce the experimental results.</p>
+      </div>
+    </div>
+  </div>
+</section>
+
+<!-- 7 ============================================================ -->
+<section class="chapter" id="more" aria-labelledby="h-more">
+  <div class="wrap">
+    <h2 id="h-more"><span class="secnum" aria-hidden="true">7</span>Learn more, ask questions</h2>
+    <div class="more">
+      <div>
+        <h3>Watch</h3>
+        <p>The introductory video shows more examples of how to use AutoQ.</p>
+        <a class="video-link" href="https://www.youtube.com/watch?v=1pO6bBvEaLM">
+          <svg viewBox="0 0 44 44" aria-hidden="true"><circle cx="22" cy="22" r="21"/><path d="M18 14.5 L30 22 L18 29.5 Z"/></svg>
+          Watch the introductory video on YouTube
+        </a>
+      </div>
+      <div>
+        <h3>Read</h3>
+        <ul>
+          <li><a href="https://github.com/fmlab-iis/AutoQ/blob/main/README.md">README</a><span>Overview, installation, usage</span></li>
+          <li><a href="https://github.com/fmlab-iis/AutoQ/blob/main/docs/hsl_description.md">The .hsl format</a><span>Extended Dirac, constants, constraints</span></li>
+          <li><a href="https://github.com/fmlab-iis/AutoQ/blob/main/docs/qasm_description.md">The OpenQASM subset</a><span>Gates, measurement, if-else, while, for</span></li>
+          <li><a href="https://github.com/fmlab-iis/AutoQ/blob/main/docs/lsta_description.md">The .lsta format</a><span>Writing tree automata directly</span></li>
+          <li><a href="https://github.com/fmlab-iis/AutoQ/blob/main/docs/internal_structure.md">Internal structure</a><span>How trees encode quantum states</span></li>
+        </ul>
+      </div>
+      <div>
+        <h3>Ask</h3>
+        <p>If you have any questions or suggestions, <a href="https://github.com/fmlab-iis/AutoQ/issues">create an issue</a> on GitHub or contact us via <a href="mailto:alan23273850@gmail.com">alan23273850@gmail.com</a>.</p>
+      </div>
+    </div>
+  </div>
+</section>
+
+</main>
+
+<footer class="colophon">
+  <div class="wrap">
+    <a class="wordmark" href="#top">AutoQ 2.0</a>
+    <p class="legal">Licence: see <a href="https://github.com/fmlab-iis/AutoQ/blob/main/LICENSE">LICENSE</a> (MIT License, Copyright (c) 2023 Wei-Lun Tsai). This page is set in Bodoni Moda, Instrument Sans and JetBrains Mono (<a href="assets/fonts/OFL.txt">SIL Open Font License</a>).</p>
+    <nav class="flinks" aria-label="Project links">
+      <a href="https://github.com/fmlab-iis/AutoQ">Source</a>
+      <a href="https://github.com/fmlab-iis/AutoQ/issues">Issues</a>
+      <a href="https://github.com/fmlab-iis/AutoQ/tree/main/benchmarks">Benchmarks</a>
+      <a href="#top">Back to top</a>
+    </nav>
+  </div>
+</footer>
+
+<script>
+(function () {
+  var root = document.documentElement;
+
+  /* ---- theme toggle ---- */
+  var tbtn = document.querySelector('.theme');
+  var mq = window.matchMedia ? window.matchMedia('(prefers-color-scheme: dark)') : null;
+  function effective() {
+    var t = root.getAttribute('data-theme');
+    return t === 'dark' || t === 'light' ? t : (mq && mq.matches ? 'dark' : 'light');
+  }
+  function syncTheme() {
+    var dark = effective() === 'dark';
+    tbtn.setAttribute('aria-label', dark ? 'Switch to light theme' : 'Switch to dark theme');
+    tbtn.title = dark ? 'Light theme' : 'Dark theme';
+    var t = root.getAttribute('data-theme');
+    Array.prototype.forEach.call(document.querySelectorAll('meta[name="theme-color"]'), function (m) {
+      if (!m.hasAttribute('data-orig')) m.setAttribute('data-orig', m.getAttribute('content'));
+      m.setAttribute('content', t === 'dark' ? '#13171D' : t === 'light' ? '#F5F5F0' : m.getAttribute('data-orig'));
+    });
+  }
+  if (tbtn) {
+    tbtn.hidden = false;
+    syncTheme();
+    tbtn.addEventListener('click', function () {
+      var next = effective() === 'dark' ? 'light' : 'dark';
+      root.setAttribute('data-theme', next);
+      try { localStorage.setItem('autoq-theme', next); } catch (e) {}
+      syncTheme();
+    });
+    if (mq && mq.addEventListener) mq.addEventListener('change', syncTheme);
+  }
+
+  /* ---- copy to clipboard ---- */
+  var copyStatus = document.getElementById('copy-status');
+  function flash(btn, msg) {
+    if (copyStatus) { copyStatus.textContent = ''; setTimeout(function () { copyStatus.textContent = msg; }, 50); }
+    var old = btn.getAttribute('data-label') || btn.textContent;
+    btn.setAttribute('data-label', old);
+    btn.textContent = msg;
+    btn.classList.add('done');
+    clearTimeout(btn._t);
+    btn._t = setTimeout(function () { btn.textContent = old; btn.classList.remove('done'); }, 1600);
+  }
+  function copyText(text, btn) {
+    function fallback() {
+      var ta = document.createElement('textarea');
+      ta.value = text; ta.setAttribute('readonly', '');
+      ta.style.position = 'fixed'; ta.style.top = '0'; ta.style.opacity = '0';
+      document.body.appendChild(ta); ta.select();
+      var ok = false;
+      try { ok = document.execCommand('copy'); } catch (e) {}
+      document.body.removeChild(ta);
+      flash(btn, ok ? 'Copied' : 'Copy failed');
+    }
+    if (navigator.clipboard && window.isSecureContext) {
+      navigator.clipboard.writeText(text).then(function () { flash(btn, 'Copied'); }, fallback);
+    } else { fallback(); }
+  }
+  function textOf(pre) {
+    var cmds = pre.querySelectorAll('.cmd');
+    var t = cmds.length ? Array.prototype.map.call(cmds, function (c) { return c.textContent; }).join('\n') : pre.textContent;
+    return t.replace(/\s+$/, '') + '\n';
+  }
+  Array.prototype.forEach.call(document.querySelectorAll('[data-copy]'), function (block) {
+    var pre = block.querySelector('pre');
+    if (!pre) return;
+    var cap = block.querySelector('.cap');
+    var btn = document.createElement('button');
+    btn.type = 'button'; btn.className = 'copy'; btn.textContent = 'Copy';
+    btn.setAttribute('aria-label', 'Copy ' + (cap ? cap.textContent.trim() : 'code'));
+    btn.addEventListener('click', function () { copyText(textOf(pre), btn); });
+    block.appendChild(btn);
+  });
+  Array.prototype.forEach.call(document.querySelectorAll('[data-copy-target]'), function (btn) {
+    btn.addEventListener('click', function () {
+      var pre = document.getElementById(btn.getAttribute('data-copy-target'));
+      if (pre) copyText(textOf(pre), btn);
+    });
+  });
+
+  /* ---- walkthrough stepper ---- */
+  var st = document.getElementById('stepper');
+  if (!st) return;
+  var steps = Array.prototype.slice.call(st.querySelectorAll('.step'));
+  var tabs = st.querySelector('.stepnav .tabs');
+  var prev = st.querySelector('[data-dir="-1"]');
+  var next = st.querySelector('[data-dir="1"]');
+  var marker = st.querySelector('.marker');
+  var gates = st.querySelectorAll('.gate');
+  var status = document.getElementById('step-status');
+  var pos = [92, 193, 283, 373, 408];
+  var cur = 0;
+  var buttons = steps.map(function (s, k) {
+    var b = document.createElement('button');
+    b.type = 'button';
+    var label = s.getAttribute('data-tab');
+    var n = document.createElement('span'); n.className = 'n'; n.textContent = k;
+    b.appendChild(n);
+    if (/qb\[/.test(label)) { var c = document.createElement('code'); c.textContent = label; b.appendChild(c); }
+    else { b.appendChild(document.createTextNode(label)); }
+    b.setAttribute('aria-label', 'Step ' + k + ': ' + label);
+    b.setAttribute('aria-controls', 'step-' + k);
+    b.addEventListener('click', function () { show(k, true); });
+    s.id = 'step-' + k;
+    tabs.appendChild(b);
+    return b;
+  });
+  function show(k, announce) {
+    cur = Math.max(0, Math.min(steps.length - 1, k));
+    steps.forEach(function (s, i) {
+      var off = i !== cur;
+      s.classList.toggle('off', off);
+      if (off) { s.setAttribute('aria-hidden', 'true'); s.inert = true; }
+      else { s.removeAttribute('aria-hidden'); s.inert = false; }
+    });
+    buttons.forEach(function (b, i) { if (i === cur) b.setAttribute('aria-current', 'step'); else b.removeAttribute('aria-current'); });
+    Array.prototype.forEach.call(gates, function (g) {
+      var gi = +g.getAttribute('data-gate');
+      g.classList.toggle('todo', gi > cur);
+      g.classList.toggle('now', gi === cur);
+    });
+    marker.style.transform = 'translateX(' + pos[cur] + 'px)';
+    prev.setAttribute('aria-disabled', cur === 0 ? 'true' : 'false');
+    next.setAttribute('aria-disabled', cur === steps.length - 1 ? 'true' : 'false');
+    if (announce) status.textContent = 'Step ' + cur + ' of ' + (steps.length - 1) + ': ' + steps[cur].querySelector('.step-head').textContent.replace(/^\s*\d+\s*/, '');
+  }
+  prev.addEventListener('click', function () { if (cur > 0) show(cur - 1, true); });
+  next.addEventListener('click', function () { if (cur < steps.length - 1) show(cur + 1, true); });
+  st.querySelector('.stepnav').addEventListener('keydown', function (e) {
+    var to = null;
+    if (e.key === 'ArrowRight') to = cur + 1;
+    else if (e.key === 'ArrowLeft') to = cur - 1;
+    else if (e.key === 'Home') to = 0;
+    else if (e.key === 'End') to = steps.length - 1;
+    if (to === null) return;
+    e.preventDefault();
+    show(to, true);
+    var b = buttons[cur]; if (b && tabs.contains(document.activeElement)) b.focus();
+  });
+  show(0, false);
+})();
+</script>
+</body>
+</html>

From 594ae4cbd68ed21b69f629ec80ccca36358ff260 Mon Sep 17 00:00:00 2001
From: Ondra Lengal <ondra.lengal@gmail.com>
Date: Mon, 19 Oct 2026 14:37:49 +0200
Subject: [PATCH 2/4] Add a WebAssembly build and a browser playground

wasm/build.sh compiles the unchanged AutoQ CLI to WebAssembly with
Emscripten, together with Z3 4.12.5 and the ANTLR 4.13.2 C++ runtime
(built once and cached). site/playground runs it in a Web Worker: it
writes the input files into the in-memory file system and calls main()
with the CLI arguments, so results match the native tool.

- CMake: an Emscripten-only branch (header-only Boost, prebuilt Z3 and
  ANTLR, ES-module link options). The native build is unchanged.
- cli/autoq.cc: skip feenableexcept() under Emscripten (no FP traps).
- src/util/memory.cpp: report the WebAssembly heap size under
  Emscripten; its getrusage() does not set ru_maxrss.
- pages.yml: build the playground in CI with a cached dependency build.
- wasm/compare.mjs checks every playground example against the native
  CLI; wasm/README.md documents the build.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_013gtFQRPe1eSSpmA7EJ2KNY
---
 .github/workflows/pages.yml    |  37 +++-
 .gitignore                     |   6 +-
 CMakeLists.txt                 |  35 ++--
 cli/CMakeLists.txt             |  20 ++
 cli/autoq.cc                   |   2 +
 site/index.html                |   2 +
 site/playground/examples.js    | 143 ++++++++++++++
 site/playground/index.html     | 110 +++++++++++
 site/playground/playground.css | 338 +++++++++++++++++++++++++++++++++
 site/playground/playground.js  | 239 +++++++++++++++++++++++
 site/playground/worker.js      |  56 ++++++
 src/CMakeLists.txt             |  17 +-
 src/util/memory.cpp            |  23 ++-
 wasm/README.md                 |  89 +++++++++
 wasm/build.sh                  |  90 +++++++++
 wasm/compare.mjs               |  50 +++++
 16 files changed, 1236 insertions(+), 21 deletions(-)
 create mode 100644 site/playground/examples.js
 create mode 100644 site/playground/index.html
 create mode 100644 site/playground/playground.css
 create mode 100644 site/playground/playground.js
 create mode 100644 site/playground/worker.js
 create mode 100644 wasm/README.md
 create mode 100755 wasm/build.sh
 create mode 100644 wasm/compare.mjs

diff --git a/.github/workflows/pages.yml b/.github/workflows/pages.yml
index 4797b7065e..92ba2c945e 100644
--- a/.github/workflows/pages.yml
+++ b/.github/workflows/pages.yml
@@ -1,4 +1,5 @@
-# Deploys the static landing page in site/ to GitHub Pages. No build step.
+# Deploys the site in site/ to GitHub Pages: the landing page plus the
+# playground, which runs AutoQ compiled to WebAssembly (wasm/build.sh).
 #
 # One-time setup before the first run: in the repository settings, open
 # Settings -> Pages -> Build and deployment and set Source to "GitHub Actions".
@@ -8,6 +9,9 @@
 #
 # After the first deploy, compare the page_url printed by the deploy step with
 # the canonical and og: URLs in site/index.html (https://fmlab-iis.github.io/AutoQ/).
+#
+# The first run builds Z3 and the ANTLR runtime for WebAssembly, which takes
+# a while; later runs restore them from the cache.
 name: Deploy landing page
 
 on:
@@ -15,6 +19,11 @@ on:
     branches: [main]
     paths:
       - "site/**"
+      - "wasm/**"
+      - "src/**"
+      - "include/**"
+      - "cli/**"
+      - "CMakeLists.txt"
       - ".github/workflows/pages.yml"
   workflow_dispatch:
 
@@ -27,6 +36,9 @@ concurrency:
   group: "pages"
   cancel-in-progress: false
 
+env:
+  EMSDK_VERSION: "6.0.12"
+
 jobs:
   deploy:
     environment:
@@ -36,6 +48,29 @@ jobs:
     steps:
       - name: Checkout
         uses: actions/checkout@v4
+        with:
+          fetch-depth: 0  # autoq -v reports the commit from git describe
+
+      - name: Install Boost headers
+        run: sudo apt-get update && sudo apt-get install -y libboost-dev
+
+      - name: Install Emscripten
+        run: |
+          git clone --depth 1 https://github.com/emscripten-core/emsdk.git "$RUNNER_TEMP/emsdk"
+          "$RUNNER_TEMP/emsdk/emsdk" install "$EMSDK_VERSION"
+          "$RUNNER_TEMP/emsdk/emsdk" activate "$EMSDK_VERSION"
+
+      - name: Cache Z3 and ANTLR for WebAssembly
+        uses: actions/cache@v4
+        with:
+          path: build-wasm/deps
+          key: wasm-deps-${{ env.EMSDK_VERSION }}-${{ hashFiles('wasm/build.sh') }}
+
+      - name: Build the playground (AutoQ to WebAssembly)
+        run: |
+          source "$RUNNER_TEMP/emsdk/emsdk_env.sh"
+          wasm/build.sh site/playground
+
       - name: Configure Pages
         uses: actions/configure-pages@v5
       - name: Upload site
diff --git a/.gitignore b/.gitignore
index ec540a9cda..f1fe076e9f 100644
--- a/.gitignore
+++ b/.gitignore
@@ -28,4 +28,8 @@ POPL24/TABLES/Algorithms/*.pdf
 POPL24/TABLES/Algorithms/*.tex
 POPL24/TABLES/Algorithms/*.log
 POPL24/TABLES/Algorithms/*.aux
-benchmark*/_others/**
\ No newline at end of file
+benchmark*/_others/**
+# WebAssembly build (wasm/build.sh); the playground binaries are built in CI
+build-wasm/
+site/playground/autoq.js
+site/playground/autoq.wasm
diff --git a/CMakeLists.txt b/CMakeLists.txt
index 3da6d74c41..e8c827082c 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -158,17 +158,26 @@ include(CTest)
 #                                DEPENDENCIES
 ##############################################################################
 
-# Boost
-set(Boost_USE_MULTITHREADED OFF)
-find_package(Boost 1.71.0...1.89.0 CONFIG COMPONENTS # 1.89.0 is for macOS on GitHub CI
-  filesystem
-#   system
-  unit_test_framework
-  REQUIRED)
-# IMPORTANT CHANGE: https://github.com/facebook/folly/issues/2489
-# Boost.System has been header-only since 1.69.
-# If someone increases minimum Boost to 1.71 then can just remove the system component.
-include_directories(${Boost_INCLUDE_DIRS})
+if (EMSCRIPTEN)
+  # WebAssembly build (wasm/build.sh). Only header-only parts of Boost are
+  # used, and Z3 and the ANTLR runtime are prebuilt static libraries.
+  set(AUTOQ_WASM_BOOST_INCLUDE "" CACHE PATH "Directory containing the boost/ headers")
+  set(AUTOQ_WASM_Z3_LIB "" CACHE FILEPATH "Z3 static library built with Emscripten")
+  set(AUTOQ_WASM_ANTLR4_LIB "" CACHE FILEPATH "ANTLR4 C++ runtime static library built with Emscripten")
+  include_directories(${AUTOQ_WASM_BOOST_INCLUDE})
+else()
+  # Boost
+  set(Boost_USE_MULTITHREADED OFF)
+  find_package(Boost 1.71.0...1.89.0 CONFIG COMPONENTS # 1.89.0 is for macOS on GitHub CI
+    filesystem
+  #   system
+    unit_test_framework
+    REQUIRED)
+  # IMPORTANT CHANGE: https://github.com/facebook/folly/issues/2489
+  # Boost.System has been header-only since 1.69.
+  # If someone increases minimum Boost to 1.71 then can just remove the system component.
+  include_directories(${Boost_INCLUDE_DIRS})
+endif()
 include_directories(../include/z3)
 
 # Doxygen - voluntary
@@ -189,6 +198,8 @@ endif()
 # Process subdirectories
 add_subdirectory(src)
 add_subdirectory(cli)
-add_subdirectory(unit_tests)
+if (NOT EMSCRIPTEN)
+  add_subdirectory(unit_tests)
+endif()
 # add_subdirectory(parametric)
 # add_subdirectory(tests)
diff --git a/cli/CMakeLists.txt b/cli/CMakeLists.txt
index 5710e727ef..cf2aef2336 100644
--- a/cli/CMakeLists.txt
+++ b/cli/CMakeLists.txt
@@ -34,3 +34,23 @@ endforeach()
 if (MAKE_STATIC_AUTOQ)
   SET(CMAKE_CXX_LINK_EXECUTABLE "${CMAKE_CXX_LINK_EXECUTABLE} -static")
 endif()
+
+if (EMSCRIPTEN)
+  # WebAssembly build (wasm/build.sh): an ES module exporting createAutoQ().
+  # The playground (site/playground) writes the input files into the
+  # in-memory filesystem and runs main() through callMain() on a fresh
+  # instance per run.
+  target_link_options(autoq PRIVATE
+    -fwasm-exceptions
+    -sMODULARIZE=1
+    -sEXPORT_ES6=1
+    -sEXPORT_NAME=createAutoQ
+    -sENVIRONMENT=web,worker,node
+    -sINVOKE_RUN=0
+    -sEXIT_RUNTIME=1
+    -sALLOW_MEMORY_GROWTH=1
+    -sMAXIMUM_MEMORY=4GB
+    -sSTACK_SIZE=8MB
+    -sFORCE_FILESYSTEM=1
+    -sEXPORTED_RUNTIME_METHODS=callMain,FS)
+endif()
diff --git a/cli/autoq.cc b/cli/autoq.cc
index bbcb557ebf..77684e1ece 100644
--- a/cli/autoq.cc
+++ b/cli/autoq.cc
@@ -234,7 +234,9 @@ static void run_verification(const std::string& pre, const std::string& post, co
 int main(int argc, char **argv) {
 try {
     // set_timeout(600);
+#ifndef __EMSCRIPTEN__  // WebAssembly has no floating-point exception traps
     feenableexcept(FE_ALL_EXCEPT & ~FE_INEXACT);
+#endif
 
     CLI::App app{"AutoQ 2.0: An automata-based C++ tool for quantum program verification."};
     std::string pre, circuit, post, circuit1, circuit2;
diff --git a/site/index.html b/site/index.html
index ec8dafc2b9..f742320a70 100644
--- a/site/index.html
+++ b/site/index.html
@@ -751,6 +751,7 @@
         <li><a href="#features">Features</a></li>
         <li><a href="#formats">Specifications</a></li>
         <li><a href="#papers">Papers</a></li>
+        <li><a href="playground/">Playground</a></li>
       </ul>
     </nav>
     <a class="gh" href="https://github.com/fmlab-iis/AutoQ">GitHub</a>
@@ -772,6 +773,7 @@ <h1 id="title">AutoQ 2.0</h1>
         <div class="ctas">
           <a class="btn" href="https://github.com/fmlab-iis/AutoQ">View on GitHub</a>
           <div class="text-links">
+            <a href="playground/">Try it in your browser</a>
             <a href="#start">Get started</a>
             <a href="#papers">Read the papers</a>
           </div>
diff --git a/site/playground/examples.js b/site/playground/examples.js
new file mode 100644
index 0000000000..b9e6b81e51
--- /dev/null
+++ b/site/playground/examples.js
@@ -0,0 +1,143 @@
+// Generated from the repository files named in `source` (see wasm/README.md).
+export const EXAMPLES = [
+  {
+    "id": "readme",
+    "title": "README example (2 qubits, X X H)",
+    "source": "README.md (as on the landing page)",
+    "mode": "ver",
+    "files": [
+      {
+        "name": "pre.hsl",
+        "content": "Extended Dirac\n{|00>, 1/2 |00> + 1/2 |01> + 1/2 |10> + 1/2 |11>}\n"
+      },
+      {
+        "name": "circuit.qasm",
+        "content": "OPENQASM 3;\ninclude \"stdgates.inc\";\nqubit[2] qb;\n\nx qb[0];\nx qb[1];\nh qb[1];\n"
+      },
+      {
+        "name": "post.hsl",
+        "content": "Extended Dirac\n{|10> - |11>, |10> + |00>}\n"
+      }
+    ]
+  },
+  {
+    "id": "bv",
+    "title": "Bernstein–Vazirani, 4 qubits",
+    "source": "benchmarks/all/BV/03",
+    "mode": "ver",
+    "files": [
+      {
+        "name": "pre.hsl",
+        "content": "Constants\nc1 := 1\nExtended Dirac\n{c1 |0000>}\n"
+      },
+      {
+        "name": "circuit.qasm",
+        "content": "OPENQASM 2.0;\ninclude \"qelib1.inc\";\nqreg qubits[4];\n\nh qubits[0];\nh qubits[1];\nh qubits[2];\nh qubits[3];\nz qubits[3];\ncx qubits[0], qubits[3];\ncx qubits[2], qubits[3];\nh qubits[0];\nh qubits[1];\nh qubits[2];\nh qubits[3];\n"
+      },
+      {
+        "name": "post.hsl",
+        "content": "Constants\nc1 := 1\nExtended Dirac\n{c1 |1011>}\n"
+      }
+    ]
+  },
+  {
+    "id": "grover-sym",
+    "title": "Grover search, symbolic amplitudes",
+    "source": "benchmarks/all/GroverSym/02",
+    "mode": "ver",
+    "files": [
+      {
+        "name": "pre.hsl",
+        "content": "Constants\nc1 := 1\nExtended Dirac\n{ c1 |000> }\n"
+      },
+      {
+        "name": "circuit.qasm",
+        "content": "OPENQASM 2.0;\ninclude \"qelib1.inc\";\nqreg qubits[3];\nx qubits[2];\n\nh qubits[0];\nh qubits[1];\nh qubits[2];\nx qubits[0];\nccx qubits[0], qubits[1], qubits[2];\nx qubits[0];\nh qubits[0];\nh qubits[1];\nx qubits[0];\nx qubits[1];\ncz qubits[0], qubits[1];\nx qubits[0];\nx qubits[1];\nh qubits[0];\nh qubits[1];\nh qubits[2];\n"
+      },
+      {
+        "name": "post.hsl",
+        "content": "Extended Dirac\n{pH |011> + pL ∑ |i|=3, i≠011 |i>}\nConstraints\nreal(pL) * real(pL) < 1/8\nimag(pL) = 0\nreal(pH) * real(pH) > 7/8\nimag(pH) = 0\n"
+      }
+    ]
+  },
+  {
+    "id": "grover",
+    "title": "Grover search, 5 qubits",
+    "source": "benchmarks/all/Grover/03",
+    "mode": "ver",
+    "files": [
+      {
+        "name": "pre.hsl",
+        "content": "Constants\nc1 := 1\nExtended Dirac\n{c1 |00000>}\n"
+      },
+      {
+        "name": "circuit.qasm",
+        "content": "OPENQASM 2.0;\ninclude \"qelib1.inc\";\nqreg qubits[5];\nx qubits[4];\n\nh qubits[0];\nh qubits[1];\nh qubits[2];\nh qubits[4];\n\nx qubits[0];\nx qubits[2];\nccx qubits[0], qubits[1], qubits[3];\ncz qubits[3], qubits[2];\nccx qubits[0], qubits[1], qubits[3];\nx qubits[0];\nx qubits[2];\nh qubits[0];\nh qubits[1];\nh qubits[2];\nx qubits[0];\nx qubits[1];\nx qubits[2];\nccx qubits[0], qubits[1], qubits[3];\ncz qubits[3], qubits[2];\nccx qubits[0], qubits[1], qubits[3];\nx qubits[0];\nx qubits[1];\nx qubits[2];\nh qubits[0];\nh qubits[1];\nh qubits[2];\nx qubits[4];\n\nx qubits[0];\nx qubits[2];\nccx qubits[0], qubits[1], qubits[3];\ncz qubits[3], qubits[2];\nccx qubits[0], qubits[1], qubits[3];\nx qubits[0];\nx qubits[2];\nh qubits[0];\nh qubits[1];\nh qubits[2];\nx qubits[0];\nx qubits[1];\nx qubits[2];\nccx qubits[0], qubits[1], qubits[3];\ncz qubits[3], qubits[2];\nccx qubits[0], qubits[1], qubits[3];\nx qubits[0];\nx qubits[1];\nx qubits[2];\nh qubits[0];\nh qubits[1];\nh qubits[2];\nx qubits[4];\n\nh qubits[4];\n"
+      },
+      {
+        "name": "post.hsl",
+        "content": "Constants\naH := 11 / (sqrt2 ^ 7)\naL := -1 / (sqrt2 ^ 7)\nExtended Dirac\n{aH |01001> + aL ∑ |i|=3, i≠010 |i01>}\n"
+      }
+    ]
+  },
+  {
+    "id": "ifelse",
+    "title": "Measurement and if",
+    "source": "benchmarks/all/control_mini/if-else",
+    "mode": "ver",
+    "files": [
+      {
+        "name": "pre.hsl",
+        "content": "Extended Dirac\n{|10>, |11>}\n"
+      },
+      {
+        "name": "circuit.qasm",
+        "content": "OPENQASM 3;\ninclude \"stdgates.inc\";\nqubit[2] qb;\nbit[2] outcome;\n\nh qb[0];\ncx qb[0], qb[1];\noutcome[0] = measure qb[0];\nif (!outcome[0]) {\n    x qb[0];\n}\n"
+      },
+      {
+        "name": "post.hsl",
+        "content": "Extended Dirac\n{|10>, |11>}\n"
+      }
+    ]
+  },
+  {
+    "id": "while",
+    "title": "While loop with an invariant",
+    "source": "benchmarks/all/control_mini/while",
+    "mode": "ver",
+    "files": [
+      {
+        "name": "pre.hsl",
+        "content": "Extended Dirac\n{|10>, |11>}\n"
+      },
+      {
+        "name": "circuit.qasm",
+        "content": "OPENQASM 3;\ninclude \"stdgates.inc\";\nqubit[2] qb;\nbit[2] outcome;\n\nh qb[0];\ncx qb[0], qb[1];\noutcome[0] = measure qb[0];\nwhile (!outcome[0]) { // loop-invariant.hsl\n    x qb[0];\n    h qb[0];\n    cx qb[0], qb[1];\n    outcome[0] = measure qb[0];\n}\n"
+      },
+      {
+        "name": "post.hsl",
+        "content": "Extended Dirac\n{|10>, |11>}\n"
+      },
+      {
+        "name": "loop-invariant.hsl",
+        "content": "Extended Dirac\n{|00> - |11>,\n |01> - |10>}\n"
+      }
+    ]
+  },
+  {
+    "id": "eq",
+    "title": "Circuit equivalence: CX = H·CZ·H",
+    "source": "landing page",
+    "mode": "eq",
+    "files": [
+      {
+        "name": "a.qasm",
+        "content": "OPENQASM 2.0;\ninclude \"qelib1.inc\";\nqreg q[2];\ncx q[0], q[1];\n"
+      },
+      {
+        "name": "b.qasm",
+        "content": "OPENQASM 2.0;\ninclude \"qelib1.inc\";\nqreg q[2];\nh q[1];\ncz q[0], q[1];\nh q[1];\n"
+      }
+    ]
+  }
+];
diff --git a/site/playground/index.html b/site/playground/index.html
new file mode 100644
index 0000000000..f9a88dde58
--- /dev/null
+++ b/site/playground/index.html
@@ -0,0 +1,110 @@
+<!doctype html>
+<html lang="en">
+<head>
+<meta charset="utf-8">
+<meta name="viewport" content="width=device-width, initial-scale=1">
+<meta name="color-scheme" content="light dark">
+<title>AutoQ playground: verify quantum programs in your browser</title>
+<meta name="description" content="Run AutoQ, the automata-based quantum program verifier, in your browser. The C++ tool is compiled to WebAssembly and runs locally; nothing is uploaded.">
+<link rel="canonical" href="https://fmlab-iis.github.io/AutoQ/playground/">
+<meta name="theme-color" content="#F5F5F0" media="(prefers-color-scheme: light)">
+<meta name="theme-color" content="#13171D" media="(prefers-color-scheme: dark)">
+<meta property="og:type" content="website">
+<meta property="og:site_name" content="AutoQ">
+<meta property="og:url" content="https://fmlab-iis.github.io/AutoQ/playground/">
+<meta property="og:title" content="AutoQ playground">
+<meta property="og:description" content="Verify quantum programs in your browser with AutoQ compiled to WebAssembly.">
+<meta property="og:image" content="https://fmlab-iis.github.io/AutoQ/assets/og.png">
+<link rel="icon" href="../assets/favicon.svg" type="image/svg+xml">
+<link rel="icon" href="../assets/favicon-32.png" type="image/png" sizes="32x32">
+<link rel="apple-touch-icon" href="../assets/apple-touch-icon.png">
+<link rel="modulepreload" href="worker.js">
+<script>
+(function () {
+  var r = document.documentElement, t = null;
+  r.classList.add('js');
+  try { t = localStorage.getItem('autoq-theme'); } catch (e) {}
+  if (t === 'light' || t === 'dark') r.setAttribute('data-theme', t);
+})();
+</script>
+<link rel="stylesheet" href="playground.css">
+</head>
+<body>
+<a class="skip" href="#main">Skip to the playground</a>
+<header class="masthead">
+  <div class="wrap">
+    <a class="wordmark" href="../">AutoQ</a>
+    <span class="crumb">Playground</span>
+    <nav class="links" aria-label="Site">
+      <a href="../">Home</a>
+      <a href="https://github.com/fmlab-iis/AutoQ">GitHub</a>
+      <button type="button" class="theme" hidden aria-label="Switch to dark theme"><svg viewBox="0 0 20 20" aria-hidden="true"><circle cx="10" cy="10" r="7.25" fill="none" stroke="currentColor" stroke-width="1.5"/><path d="M10 2.75 A7.25 7.25 0 0 1 10 17.25 Z" fill="currentColor"/></svg></button>
+    </nav>
+  </div>
+</header>
+
+<main id="main">
+  <section class="intro wrap" aria-labelledby="title">
+    <h1 id="title">Playground</h1>
+    <p>Run AutoQ in your browser. This is the command-line tool itself, compiled to WebAssembly: it reads the same <code>.hsl</code> and OpenQASM files and prints the same output. Everything runs on your machine; nothing is uploaded.</p>
+    <p class="meta" id="version">Loading AutoQ…</p>
+  </section>
+
+  <noscript><div class="wrap"><p class="noscript">The playground needs JavaScript and WebAssembly.</p></div></noscript>
+
+  <section class="wrap" aria-label="Playground">
+    <form class="toolbar" id="toolbar">
+      <label class="field">
+        <span>Example</span>
+        <select id="example"></select>
+      </label>
+      <fieldset class="modes">
+        <legend class="legend">Command</legend>
+        <div class="seg" role="radiogroup">
+          <label><input type="radio" name="mode" value="ver" checked><span>ver</span></label>
+          <label><input type="radio" name="mode" value="ex"><span>ex</span></label>
+          <label><input type="radio" name="mode" value="eq"><span>eq</span></label>
+        </div>
+      </fieldset>
+      <label class="check" id="loopsum-wrap"><input type="checkbox" id="loopsum"> --loopsum</label>
+      <div class="actions">
+        <button type="button" class="btn quiet" id="reset">Reset</button>
+        <button type="button" class="btn quiet" id="stop" disabled>Stop</button>
+        <button type="submit" class="btn" id="run" disabled>Run <kbd aria-hidden="true">Ctrl ↵</kbd></button>
+      </div>
+    </form>
+
+    <div class="workspace">
+      <div class="panel">
+        <div class="panel-head">
+          <div class="tabs" role="tablist" aria-label="Input files" id="tabs"></div>
+        </div>
+        <textarea class="editor" id="editor" spellcheck="false" autocapitalize="off" autocomplete="off" autocorrect="off" aria-label="File contents"></textarea>
+        <pre class="cmd" id="cmd" aria-label="Command"></pre>
+      </div>
+      <div class="panel">
+        <div class="panel-head">
+          <span class="panel-title" id="output-label">Output</span>
+          <span class="status" id="status" role="status" aria-live="polite"></span>
+        </div>
+        <pre class="output" id="output" tabindex="0" aria-labelledby="output-label"></pre>
+      </div>
+    </div>
+  </section>
+
+  <section class="notes wrap" aria-labelledby="notes-title">
+    <h2 id="notes-title">Notes</h2>
+    <ul>
+      <li><code>ver</code> checks the circuit against the postcondition and prints <code>[OK]</code> or <code>[failed]</code>. <code>ex</code> prints the set of states after the circuit. <code>eq</code> compares two circuits; it reads the qubit count from an OpenQASM 2.0 <code>qreg</code> declaration.</li>
+      <li>A <code>while</code> loop names its invariant file in a trailing comment, as in the <em>While loop</em> example. Every file in the tabs is available to the run under its tab name.</li>
+      <li>The first run downloads the WebAssembly module (it includes the Z3 solver). Later runs reuse it.</li>
+      <li>Runs use a single thread and the memory your browser allows a page, so the larger benchmarks from the papers may be slow or run out of memory here. Use the native build for those.</li>
+      <li>One difference from the native build: WebAssembly has no floating-point traps, so an arithmetic error that stops the native tool with <code>SIGFPE</code> continues here.</li>
+      <li>The file formats are described in the <a href="https://github.com/fmlab-iis/AutoQ/blob/main/docs/hsl_description.md">.hsl</a> and <a href="https://github.com/fmlab-iis/AutoQ/blob/main/docs/qasm_description.md">OpenQASM</a> documentation.</li>
+    </ul>
+  </section>
+</main>
+
+<script type="module" src="playground.js"></script>
+</body>
+</html>
diff --git a/site/playground/playground.css b/site/playground/playground.css
new file mode 100644
index 0000000000..c7334be2c4
--- /dev/null
+++ b/site/playground/playground.css
@@ -0,0 +1,338 @@
+/* AutoQ playground. Fonts and colour tokens are copied from ../index.html. */
+/* Self-hosted subsets of Bodoni Moda, Instrument Sans, JetBrains Mono, Noto Sans Math and Noto Sans Mono (SIL OFL 1.1, see assets/fonts/OFL.txt). */
+@font-face {
+  font-family: 'Bodoni Moda';
+  font-style: italic;
+  font-weight: 400 700;
+  font-display: swap;
+  src: url(../assets/fonts/bodoni-moda-italic-math.woff2) format('woff2');
+  unicode-range: U+0302-0303, U+0305, U+0307-0308, U+0310, U+0312, U+0315, U+031A, U+0326-0327, U+032C, U+032F-0330, U+0332-0333, U+0338, U+033A, U+0346, U+034D, U+0391-03A1, U+03A3-03A9, U+03B1-03C9, U+03D1, U+03D5-03D6, U+03F0-03F1, U+03F4-03F5, U+2016-2017, U+2034-2038, U+203C, U+2040, U+2043, U+2047, U+2050, U+2057, U+205F, U+2070-2071, U+2074-209F, U+20D0-20DC, U+20E1, U+20E5-20EF, U+2100-2112, U+2114-2115, U+2117-2121, U+2123-214F, U+2190, U+2192, U+2194-21AE, U+21B0-21E5, U+21F1-21F2, U+21F4-2211, U+2213-2214, U+2216-22FF, U+2308-230B, U+2310, U+2319, U+231C-2321, U+2336-237A, U+237C, U+2395, U+239B-23B7, U+23D0, U+23DC-23E1, U+2474-2475, U+25AF, U+25B3, U+25B7, U+25BD, U+25C1, U+25CA, U+25CC, U+25FB, U+266D-266F, U+27C0-27FF, U+2900-2AFF, U+2B0E-2B11, U+2B30-2B4C, U+2BFE, U+3030, U+FF5B, U+FF5D, U+1D400-1D7FF, U+1EE00-1EEFF;
+}
+@font-face {
+  font-family: 'Bodoni Moda';
+  font-style: italic;
+  font-weight: 400 700;
+  font-display: swap;
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+}
+@font-face {
+  font-family: 'Bodoni Moda';
+  font-style: italic;
+  font-weight: 400 700;
+  font-display: swap;
+  src: url(../assets/fonts/bodoni-moda-italic-latin-ext.woff2) format('woff2');
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+  font-style: normal;
+  font-weight: 400 700;
+  font-display: swap;
+  src: url(../assets/fonts/bodoni-moda-normal-latin-ext.woff2) format('woff2');
+  unicode-range: U+0100-02BA, U+02BD-02C5, U+02C7-02CC, U+02CE-02D7, U+02DD-02FF, U+0304, U+0308, U+0329, U+1D00-1DBF, U+1E00-1E9F, U+1EF2-1EFF, U+2020, U+20A0-20AB, U+20AD-20C4, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+@font-face {
+  font-family: 'Bodoni Moda';
+  font-style: normal;
+  font-weight: 400 700;
+  font-display: swap;
+  src: url(../assets/fonts/bodoni-moda-normal-latin.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+@font-face {
+  font-family: 'Instrument Sans';
+  font-style: italic;
+  font-weight: 400 700;
+  font-stretch: 100%;
+  font-display: swap;
+  src: url(../assets/fonts/instrument-sans-italic-latin-ext.woff2) format('woff2');
+  unicode-range: U+0100-02BA, U+02BD-02C5, U+02C7-02CC, U+02CE-02D7, U+02DD-02FF, U+0304, U+0308, U+0329, U+1D00-1DBF, U+1E00-1E9F, U+1EF2-1EFF, U+2020, U+20A0-20AB, U+20AD-20C4, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+@font-face {
+  font-family: 'Instrument Sans';
+  font-style: italic;
+  font-weight: 400 700;
+  font-stretch: 100%;
+  font-display: swap;
+  src: url(../assets/fonts/instrument-sans-italic-latin.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+@font-face {
+  font-family: 'Instrument Sans';
+  font-style: normal;
+  font-weight: 400 700;
+  font-stretch: 100%;
+  font-display: swap;
+  src: url(../assets/fonts/instrument-sans-normal-latin-ext.woff2) format('woff2');
+  unicode-range: U+0100-02BA, U+02BD-02C5, U+02C7-02CC, U+02CE-02D7, U+02DD-02FF, U+0304, U+0308, U+0329, U+1D00-1DBF, U+1E00-1E9F, U+1EF2-1EFF, U+2020, U+20A0-20AB, U+20AD-20C4, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+@font-face {
+  font-family: 'Instrument Sans';
+  font-style: normal;
+  font-weight: 400 700;
+  font-stretch: 100%;
+  font-display: swap;
+  src: url(../assets/fonts/instrument-sans-normal-latin.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+@font-face {
+  font-family: 'JetBrains Mono';
+  font-style: italic;
+  font-weight: 400;
+  font-display: swap;
+  src: url(../assets/fonts/jetbrains-mono-italic-greek.woff2) format('woff2');
+  unicode-range: U+0370-0377, U+037A-037F, U+0384-038A, U+038C, U+038E-03A1, U+03A3-03FF;
+}
+@font-face {
+  font-family: 'JetBrains Mono';
+  font-style: italic;
+  font-weight: 400;
+  font-display: swap;
+  src: url(../assets/fonts/jetbrains-mono-italic-latin-ext.woff2) format('woff2');
+  unicode-range: U+0100-02BA, U+02BD-02C5, U+02C7-02CC, U+02CE-02D7, U+02DD-02FF, U+0304, U+0308, U+0329, U+1D00-1DBF, U+1E00-1E9F, U+1EF2-1EFF, U+2020, U+20A0-20AB, U+20AD-20C4, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+@font-face {
+  font-family: 'JetBrains Mono';
+  font-style: italic;
+  font-weight: 400;
+  font-display: swap;
+  src: url(../assets/fonts/jetbrains-mono-italic-latin.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+@font-face {
+  font-family: 'JetBrains Mono';
+  font-style: normal;
+  font-weight: 400 700;
+  font-display: swap;
+  src: url(../assets/fonts/jetbrains-mono-normal-greek.woff2) format('woff2');
+  unicode-range: U+0370-0377, U+037A-037F, U+0384-038A, U+038C, U+038E-03A1, U+03A3-03FF;
+}
+@font-face {
+  font-family: 'JetBrains Mono';
+  font-style: normal;
+  font-weight: 400 700;
+  font-display: swap;
+  src: url(../assets/fonts/jetbrains-mono-normal-latin-ext.woff2) format('woff2');
+  unicode-range: U+0100-02BA, U+02BD-02C5, U+02C7-02CC, U+02CE-02D7, U+02DD-02FF, U+0304, U+0308, U+0329, U+1D00-1DBF, U+1E00-1E9F, U+1EF2-1EFF, U+2020, U+20A0-20AB, U+20AD-20C4, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+@font-face {
+  font-family: 'JetBrains Mono';
+  font-style: normal;
+  font-weight: 400 700;
+  font-display: swap;
+  src: url(../assets/fonts/jetbrains-mono-normal-latin.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+@font-face {
+  font-family: 'Noto Sans Math';
+  font-style: normal;
+  font-weight: 400;
+  font-display: swap;
+  src: url(../assets/fonts/noto-sans-math-normal-subset.woff2) format('woff2');
+}
+@font-face {
+  font-family: 'Noto Sans Mono';
+  font-style: normal;
+  font-weight: 400;
+  font-stretch: 100%;
+  font-display: swap;
+  src: url(../assets/fonts/noto-sans-mono-normal-subset.woff2) format('woff2');
+  unicode-range: U+2b, U+3c-3e, U+7c, U+ac, U+338, U+2032, U+2102, U+2112, U+2200, U+2203-2204, U+2208-2209, U+2211-2212, U+2216, U+221a, U+2227-2228, U+222a, U+2260, U+2264-2265, U+226e-2271, U+2286, U+2288, U+2295, U+2297, U+27e8-27e9;
+}
+:root {
+  --paper: #F5F5F0;
+  --paper-deep: #EAEAE3;
+  --paper-lift: #FBFBF8;
+  --ink: #1A1C21;
+  --ink-2: #444851;
+  --ink-3: #5C6068;
+  --rule: #D3D3CA;
+  --control: #82858A;
+  --accent: #0B6B55;
+  --accent-wash: rgba(11, 107, 85, .10);
+  --fail: #A3262F;
+  --on-ink: #F5F5F0;
+
+  --serif: "Bodoni Moda", "Bodoni 72", Didot, "Noto Serif Display", Georgia, serif;
+  --math: "Noto Sans Math", "Bodoni Moda", "STIX Two Text", Cambria, "DejaVu Serif", Georgia, "STIX Two Math", "Cambria Math", serif;
+  --sans: "Instrument Sans", "Helvetica Neue", Helvetica, Arial, system-ui, sans-serif;
+  --mono: "JetBrains Mono", "Noto Sans Mono", ui-monospace, SFMono-Regular, Menlo, Consolas, monospace;
+
+  --measure: 40rem;
+  --side: 16.5rem;
+  --gutter: clamp(16px, 4vw, 48px);
+  color-scheme: light;
+}
+@media (prefers-color-scheme: dark) {
+  :root:not([data-theme="light"]) {
+    --paper: #13171D;
+    --paper-deep: #1C2129;
+    --paper-lift: #171C23;
+    --ink: #E9E7E0;
+    --ink-2: #BEBCB5;
+    --ink-3: #9D9C96;
+    --rule: #2F3641;
+    --control: #6E6F6D;
+    --accent: #6CCBAA;
+    --accent-wash: rgba(108, 203, 170, .12);
+    --fail: #F2958F;
+    --on-ink: #13171D;
+    color-scheme: dark;
+  }
+}
+:root[data-theme="dark"] {
+  --paper: #13171D;
+  --paper-deep: #1C2129;
+  --paper-lift: #171C23;
+  --ink: #E9E7E0;
+  --ink-2: #BEBCB5;
+  --ink-3: #9D9C96;
+  --rule: #2F3641;
+  --control: #6E6F6D;
+  --accent: #6CCBAA;
+  --accent-wash: rgba(108, 203, 170, .12);
+  --fail: #F2958F;
+  --on-ink: #13171D;
+  color-scheme: dark;
+}
+
+*, *::before, *::after { box-sizing: border-box; }
+[hidden] { display: none !important; }
+html { -webkit-text-size-adjust: 100%; }
+body {
+  margin: 0;
+  background: var(--paper);
+  color: var(--ink);
+  font: 400 1rem/1.6 var(--sans);
+  overflow-wrap: break-word;
+}
+a { color: inherit; text-decoration-color: var(--accent); text-underline-offset: .18em; }
+a:hover { color: var(--accent); }
+:focus-visible { outline: 2px solid var(--accent); outline-offset: 2px; }
+code, kbd, pre, textarea { font-family: var(--mono); font-size: .875rem; font-variant-ligatures: none; }
+.wrap { max-width: 1240px; margin-inline: auto; padding-inline: var(--gutter); }
+.skip { position: absolute; left: -999px; }
+.skip:focus { left: 1rem; top: .5rem; z-index: 10; background: var(--paper-lift); padding: .5rem .75rem; }
+
+/* Masthead */
+.masthead { position: sticky; top: 0; z-index: 5; background: var(--paper); border-bottom: 1px solid var(--rule); }
+.masthead .wrap { display: flex; align-items: center; gap: 1.25rem; height: 3.5rem; }
+.wordmark { font: italic 400 1.45rem/1 var(--serif); text-decoration: none; color: var(--ink); }
+.crumb { color: var(--ink-2); font-size: .9375rem; }
+.masthead .links { margin-left: auto; display: flex; align-items: center; gap: 1.25rem; font-size: .9375rem; }
+.masthead .links a { text-decoration: none; color: var(--ink-2); }
+.masthead .links a:hover { color: var(--ink); text-decoration: underline; text-decoration-color: var(--accent); }
+.theme { flex: none; display: inline-grid; place-items: center; width: 2.25rem; height: 2.25rem; padding: 0; color: var(--ink-2); background: none; border: 1px solid var(--control); border-radius: 2px; cursor: pointer; }
+.theme svg { width: 1.05rem; height: 1.05rem; }
+
+/* Intro */
+.intro { padding-block: clamp(1.75rem, 4vw, 3rem) 1.25rem; }
+.intro h1 { margin: 0; font: 400 clamp(2.4rem, 6vw, 3.6rem)/1.05 var(--serif); letter-spacing: -.01em; }
+.intro p { margin: .75rem 0 0; max-width: 46rem; color: var(--ink-2); }
+.intro .meta { font-size: .875rem; color: var(--ink-3); }
+
+/* Toolbar */
+.toolbar { display: flex; flex-wrap: wrap; align-items: end; gap: .75rem 1.25rem; padding-block: 1rem; border-top: 1px solid var(--rule); }
+.field { display: grid; gap: .3rem; }
+.field > span, .legend { font-size: .8125rem; color: var(--ink-3); letter-spacing: .02em; }
+select {
+  font: inherit; font-size: .9375rem; color: var(--ink); background: var(--paper-lift);
+  border: 1px solid var(--control); border-radius: 2px; padding: .45rem 2rem .45rem .6rem; min-height: 2.5rem;
+  appearance: none; background-image: linear-gradient(45deg, transparent 50%, currentColor 50%), linear-gradient(135deg, currentColor 50%, transparent 50%);
+  background-position: calc(100% - 15px) 55%, calc(100% - 10px) 55%; background-size: 5px 5px; background-repeat: no-repeat;
+}
+fieldset.modes { border: 0; margin: 0; padding: 0; display: grid; gap: .3rem; }
+.seg { display: inline-flex; border: 1px solid var(--control); border-radius: 2px; overflow: hidden; }
+.seg label { position: relative; }
+.seg input { position: absolute; opacity: 0; inset: 0; margin: 0; cursor: pointer; }
+.seg span { display: block; padding: .45rem .8rem; min-height: 2.5rem; line-height: 1.5rem; font-family: var(--mono); font-size: .875rem; color: var(--ink-2); }
+.seg label + label span { border-left: 1px solid var(--control); }
+.seg input:checked + span { background: var(--ink); color: var(--on-ink); }
+.seg input:focus-visible + span { outline: 2px solid var(--accent); outline-offset: -4px; }
+.check { display: inline-flex; align-items: center; gap: .45rem; min-height: 2.5rem; font-family: var(--mono); font-size: .875rem; color: var(--ink-2); }
+.check input { width: 1.05rem; height: 1.05rem; accent-color: var(--accent); }
+.actions { margin-left: auto; display: flex; align-items: center; gap: .6rem; }
+.btn {
+  font: 600 .9375rem/1 var(--sans); padding: 0 1.15rem; min-height: 2.75rem; border-radius: 2px; cursor: pointer;
+  border: 1px solid var(--ink); background: var(--ink); color: var(--on-ink);
+}
+.btn:hover:not(:disabled) { background: var(--accent); border-color: var(--accent); color: var(--on-ink); }
+.btn.quiet { background: none; color: var(--ink); border-color: var(--control); font-weight: 500; }
+.btn.quiet:hover:not(:disabled) { color: var(--ink); background: var(--paper-deep); border-color: var(--ink-2); }
+.btn:disabled { opacity: .5; cursor: not-allowed; }
+kbd { font-size: .75rem; border: 1px solid var(--rule); border-bottom-width: 2px; border-radius: 3px; padding: 0 .3rem; color: var(--ink-3); }
+.btn kbd { margin-left: .5rem; color: inherit; border-color: currentColor; opacity: .7; font-weight: 400; white-space: nowrap; }
+@media (pointer: coarse), (max-width: 640px) { .btn kbd { display: none; } }
+
+/* Workspace */
+.workspace { display: grid; grid-template-columns: minmax(0, 1.15fr) minmax(0, 1fr); gap: 1.25rem; padding-bottom: 2.5rem; }
+.panel { display: flex; flex-direction: column; min-width: 0; border: 1px solid var(--rule); background: var(--paper-lift); border-radius: 2px; }
+.panel-head { display: flex; align-items: center; gap: .75rem; min-height: 2.75rem; padding: 0 .75rem; border-bottom: 1px solid var(--rule); background: var(--paper-deep); }
+.panel-title { font-size: .8125rem; color: var(--ink-3); letter-spacing: .02em; }
+.tabs { display: flex; gap: 0; overflow-x: auto; margin-inline: -.75rem; scrollbar-width: thin; }
+.tabs button {
+  flex: none; font: 500 .8125rem/1 var(--mono); color: var(--ink-2); background: none; border: 0; border-right: 1px solid var(--rule);
+  padding: 0 .9rem; min-height: 2.75rem; cursor: pointer;
+}
+.tabs button[aria-selected="true"] { color: var(--ink); background: var(--paper-lift); box-shadow: inset 0 -2px 0 var(--accent); }
+.editor {
+  display: block; width: 100%; flex: 1; min-height: 24rem; resize: vertical; margin: 0; border: 0; padding: .9rem 1rem;
+  background: transparent; color: var(--ink); line-height: 1.6; tab-size: 4; white-space: pre; overflow: auto;
+}
+.editor:focus-visible { outline-offset: -2px; }
+.cmd { margin: 0; padding: .6rem 1rem; border-top: 1px solid var(--rule); color: var(--ink-2); white-space: pre-wrap; word-break: break-all; }
+.cmd .pr { color: var(--ink-3); user-select: none; }
+.output { flex: 1; margin: 0; padding: .9rem 1rem; min-height: 24rem; overflow: auto; white-space: pre-wrap; word-break: break-word; line-height: 1.6; }
+.output .err { color: var(--fail); }
+.output .ok { color: var(--accent); font-weight: 600; }
+.output .bad { color: var(--fail); font-weight: 600; }
+.output .muted { color: var(--ink-3); }
+.status { margin-left: auto; font-size: .8125rem; color: var(--ink-3); }
+.status.busy::before { content: ""; display: inline-block; width: .55rem; height: .55rem; margin-right: .4rem; border-radius: 50%; background: var(--accent); animation: pulse 1s ease-in-out infinite alternate; }
+@keyframes pulse { from { opacity: .25; } to { opacity: 1; } }
+
+.notes { padding-block: 0 3rem; color: var(--ink-2); font-size: .9375rem; }
+.notes::before { content: ""; display: block; border-top: 1px solid var(--rule); margin-bottom: 1.5rem; }
+.notes h2 { font: 400 1.5rem/1.2 var(--serif); color: var(--ink); margin: 0 0 .75rem; }
+.notes ul { margin: 0; padding-left: 1.1rem; max-width: 48rem; }
+.notes li + li { margin-top: .4rem; }
+.noscript { padding: 1rem; border: 1px solid var(--fail); color: var(--fail); }
+
+@media (max-width: 900px) {
+  .workspace { grid-template-columns: minmax(0, 1fr); }
+  .editor { min-height: 18rem; }
+  .output { min-height: 12rem; }
+}
+@media (max-width: 640px) {
+  .masthead .crumb { display: none; }
+  .actions { margin-left: 0; width: 100%; }
+  .actions .btn { flex: 1; }
+}
+@media (prefers-reduced-motion: reduce) {
+  .status.busy::before { animation: none; }
+}
diff --git a/site/playground/playground.js b/site/playground/playground.js
new file mode 100644
index 0000000000..537bcfe802
--- /dev/null
+++ b/site/playground/playground.js
@@ -0,0 +1,239 @@
+import { EXAMPLES } from './examples.js';
+
+const $ = (id) => document.getElementById(id);
+const els = {
+  example: $('example'), tabs: $('tabs'), editor: $('editor'), cmd: $('cmd'), output: $('output'),
+  status: $('status'), run: $('run'), stop: $('stop'), reset: $('reset'), toolbar: $('toolbar'),
+  loopsum: $('loopsum'), loopsumWrap: $('loopsum-wrap'), version: $('version'),
+};
+
+// Files each command reads, in argument order.
+const MODES = {
+  ver: ['pre.hsl', 'circuit.qasm', 'post.hsl'],
+  ex: ['pre.hsl', 'circuit.qasm'],
+  eq: ['a.qasm', 'b.qasm'],
+};
+const TEMPLATES = {
+  'pre.hsl': 'Extended Dirac\n{|0>}\n',
+  'post.hsl': 'Extended Dirac\n{|1>}\n',
+  'circuit.qasm': 'OPENQASM 3;\ninclude "stdgates.inc";\nqubit[1] qb;\n\nx qb[0];\n',
+  'a.qasm': 'OPENQASM 2.0;\ninclude "qelib1.inc";\nqreg q[1];\nx q[0];\n',
+  'b.qasm': 'OPENQASM 2.0;\ninclude "qelib1.inc";\nqreg q[1];\nh q[0];\nz q[0];\nh q[0];\n',
+};
+
+const state = { example: null, files: [], active: 0, mode: 'ver' };
+
+// ---------- theme toggle (shared with the landing page) ----------
+(function theme() {
+  const btn = document.querySelector('.theme');
+  if (!btn) return;
+  const root = document.documentElement;
+  const current = () => root.getAttribute('data-theme')
+    || (matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light');
+  const label = () => btn.setAttribute('aria-label', current() === 'dark' ? 'Switch to light theme' : 'Switch to dark theme');
+  btn.hidden = false;
+  label();
+  btn.addEventListener('click', () => {
+    const next = current() === 'dark' ? 'light' : 'dark';
+    root.setAttribute('data-theme', next);
+    try { localStorage.setItem('autoq-theme', next); } catch (e) { /* storage unavailable */ }
+    label();
+  });
+})();
+
+// ---------- examples, tabs, editor ----------
+for (const ex of EXAMPLES) {
+  const o = document.createElement('option');
+  o.value = ex.id;
+  o.textContent = ex.title;
+  els.example.append(o);
+}
+
+function loadExample(id) {
+  const ex = EXAMPLES.find((e) => e.id === id) ?? EXAMPLES[0];
+  state.example = ex;
+  state.files = ex.files.map((f) => ({ ...f }));
+  state.active = 0;
+  setMode(ex.mode);
+  els.example.value = ex.id;
+  render();
+}
+
+function setMode(mode) {
+  state.mode = mode;
+  els.toolbar.querySelector(`input[name="mode"][value="${mode}"]`).checked = true;
+  for (const name of MODES[mode]) {
+    if (!state.files.some((f) => f.name === name)) state.files.push({ name, content: TEMPLATES[name] });
+  }
+  els.loopsumWrap.hidden = mode === 'eq';
+}
+
+function args() {
+  const a = [state.mode];
+  if (state.mode !== 'eq' && els.loopsum.checked) a.push('--loopsum');
+  return a.concat(MODES[state.mode]);
+}
+
+function render() {
+  els.tabs.replaceChildren(...state.files.map((f, i) => {
+    const b = document.createElement('button');
+    b.type = 'button';
+    b.role = 'tab';
+    b.id = `tab-${i}`;
+    b.textContent = f.name;
+    b.setAttribute('aria-selected', String(i === state.active));
+    b.setAttribute('aria-controls', 'editor');
+    b.tabIndex = i === state.active ? 0 : -1;
+    b.addEventListener('click', () => select(i));
+    return b;
+  }));
+  const f = state.files[state.active];
+  els.editor.value = f.content;
+  els.editor.setAttribute('aria-labelledby', `tab-${state.active}`);
+  els.cmd.innerHTML = '<span class="pr">$ </span>' + escapeHtml(['autoq', ...args()].join(' '));
+}
+
+function select(i, focus = false) {
+  state.active = i;
+  render();
+  if (focus) document.getElementById(`tab-${i}`).focus();
+}
+
+els.tabs.addEventListener('keydown', (e) => {
+  const n = state.files.length;
+  const moves = { ArrowRight: 1, ArrowLeft: n - 1 };
+  if (e.key in moves) { e.preventDefault(); select((state.active + moves[e.key]) % n, true); }
+  else if (e.key === 'Home') { e.preventDefault(); select(0, true); }
+  else if (e.key === 'End') { e.preventDefault(); select(n - 1, true); }
+});
+els.editor.addEventListener('input', () => { state.files[state.active].content = els.editor.value; });
+els.example.addEventListener('change', () => loadExample(els.example.value));
+els.toolbar.addEventListener('change', (e) => {
+  if (e.target.name === 'mode') { setMode(e.target.value); render(); }
+  if (e.target === els.loopsum) render();
+});
+els.reset.addEventListener('click', () => loadExample(state.example.id));
+
+// ---------- running ----------
+let worker = null;
+let ready = false;
+let running = false;
+let timer = 0;
+
+function startWorker() {
+  ready = false;
+  worker = new Worker(new URL('./worker.js', import.meta.url), { type: 'module' });
+  worker.onmessage = onMessage;
+  worker.onerror = (e) => {
+    setStatus('');
+    els.version.textContent = 'AutoQ could not be loaded in this browser.';
+    show([{ stream: 'err', line: `Could not load AutoQ: ${e.message || 'unknown error'}` }]);
+  };
+  setStatus('Downloading AutoQ…', true);
+  worker.postMessage({ type: 'warmup' });
+}
+
+let versionPending = false;
+function onMessage({ data }) {
+  if (data.type === 'ready') {
+    if (!els.version.dataset.done) {
+      // Ask for the version first; Run is enabled once it answers.
+      versionPending = true;
+      worker.postMessage({ args: ['-v'], files: [] });
+    } else {
+      markReady();
+    }
+    return;
+  }
+  if (versionPending) {
+    versionPending = false;
+    const v = (data.out ?? []).map((o) => o.line).join(' ').trim();
+    els.version.dataset.done = '1';
+    if (/^[0-9a-f]{40}$/.test(v)) {
+      const a = document.createElement('a');
+      a.href = `https://github.com/fmlab-iis/AutoQ/commit/${v}`;
+      a.textContent = v.slice(0, 9);
+      els.version.replaceChildren('AutoQ at commit ', a, ', compiled to WebAssembly.');
+    } else {
+      els.version.textContent = v ? `AutoQ ${v}, compiled to WebAssembly.` : 'AutoQ, compiled to WebAssembly.';
+    }
+    markReady();
+    return;
+  }
+  if (!running) return;
+  running = false;
+  clearInterval(timer);
+  els.run.disabled = false;
+  els.stop.disabled = true;
+  const secs = (data.ms / 1000).toFixed(2);
+  if (data.type === 'error') {
+    show([...data.out, { stream: 'err', line: `AutoQ stopped unexpectedly: ${data.message}` }]);
+    setStatus(`Error after ${secs}s`);
+  } else {
+    show(data.out, `exit code ${data.code} · ${secs}s in the browser`);
+    setStatus(`Finished in ${secs}s`);
+  }
+}
+
+function markReady() {
+  ready = true;
+  setStatus('Ready');
+  els.run.disabled = false;
+}
+
+function run() {
+  if (!ready || running) return;
+  running = true;
+  els.run.disabled = true;
+  els.stop.disabled = false;
+  show([]);
+  const t0 = performance.now();
+  setStatus('Running… 0.0s', true);
+  timer = setInterval(() => setStatus(`Running… ${((performance.now() - t0) / 1000).toFixed(1)}s`, true), 100);
+  worker.postMessage({ args: args(), files: state.files });
+}
+
+function stop() {
+  if (!running) return;
+  running = false;
+  clearInterval(timer);
+  worker.terminate();
+  els.stop.disabled = true;
+  els.run.disabled = true;
+  show([{ stream: 'err', line: 'Stopped.' }]);
+  startWorker();
+}
+
+els.toolbar.addEventListener('submit', (e) => { e.preventDefault(); run(); });
+els.stop.addEventListener('click', stop);
+document.addEventListener('keydown', (e) => {
+  if (e.key === 'Enter' && (e.ctrlKey || e.metaKey)) { e.preventDefault(); run(); }
+});
+
+// ---------- output ----------
+function escapeHtml(s) {
+  return s.replace(/[&<>"]/g, (c) => ({ '&': '&amp;', '<': '&lt;', '>': '&gt;', '"': '&quot;' }[c]));
+}
+function highlight(line) {
+  return escapeHtml(line)
+    .replace(/\[OK\]/g, '<span class="ok">[OK]</span>')
+    .replace(/\[failed\]|\[ERROR\]/g, (m) => `<span class="bad">${m}</span>`);
+}
+function show(lines, footer) {
+  const html = lines.map((o) => o.stream === 'err'
+    ? `<span class="err">${highlight(o.line)}</span>`
+    : highlight(o.line));
+  if (footer) html.push(`<span class="muted">\n${escapeHtml(footer)}</span>`);
+  els.output.innerHTML = html.join('\n');
+}
+function setStatus(text, busy = false) {
+  els.status.textContent = text;
+  els.status.classList.toggle('busy', busy);
+}
+
+// ---------- start ----------
+loadExample(new URLSearchParams(location.search).get('example') ?? EXAMPLES[0].id);
+if (typeof WebAssembly === 'object') startWorker();
+else {
+  els.version.textContent = 'This browser does not support WebAssembly.';
+}
diff --git a/site/playground/worker.js b/site/playground/worker.js
new file mode 100644
index 0000000000..189508e69a
--- /dev/null
+++ b/site/playground/worker.js
@@ -0,0 +1,56 @@
+// Runs AutoQ (compiled to WebAssembly by wasm/build.sh) off the main thread.
+// Message in:  { args: string[], files: {name, content}[] }
+// Messages out: { type: 'ready' } once the module is compiled,
+//               { type: 'done', code, out, ms } or { type: 'error', message, out, ms }.
+import createAutoQ from './autoq.js';
+
+const WASM_URL = new URL('./autoq.wasm', import.meta.url);
+let compiled = null;
+
+async function compile() {
+  if (compiled) return compiled;
+  try {
+    compiled = await WebAssembly.compileStreaming(fetch(WASM_URL));
+  } catch {
+    // Some servers send .wasm without the application/wasm type.
+    const bytes = await (await fetch(WASM_URL)).arrayBuffer();
+    compiled = await WebAssembly.compile(bytes);
+  }
+  return compiled;
+}
+
+self.onmessage = async ({ data }) => {
+  if (data.type === 'warmup') {
+    try { await compile(); self.postMessage({ type: 'ready' }); }
+    catch (e) { self.postMessage({ type: 'error', message: String(e?.message ?? e), out: [], ms: 0 }); }
+    return;
+  }
+  const { args, files } = data;
+  const out = [];
+  const t0 = performance.now();
+  try {
+    const wasmModule = await compile();
+    // A fresh instance per run: main() keeps global state between calls.
+    const mod = await createAutoQ({
+      instantiateWasm(imports, done) {
+        WebAssembly.instantiate(wasmModule, imports).then((instance) => done(instance, wasmModule));
+        return {};
+      },
+      print: (line) => out.push({ stream: 'out', line }),
+      printErr: (line) => out.push({ stream: 'err', line }),
+    });
+    mod.FS.mkdir('/work');
+    mod.FS.chdir('/work');
+    for (const f of files) mod.FS.writeFile(f.name, f.content);
+    let code;
+    try {
+      code = mod.callMain(args);
+    } catch (e) {
+      if (e && e.name === 'ExitStatus') code = e.status;
+      else throw e;
+    }
+    self.postMessage({ type: 'done', code, out, ms: performance.now() - t0 });
+  } catch (e) {
+    self.postMessage({ type: 'error', message: String(e?.message ?? e), out, ms: performance.now() - t0 });
+  }
+};
diff --git a/src/CMakeLists.txt b/src/CMakeLists.txt
index 833a55afd0..c30b268ae2 100644
--- a/src/CMakeLists.txt
+++ b/src/CMakeLists.txt
@@ -8,8 +8,11 @@ project(autoq)
 # Export compile commands to be used with YouCompleteMe
 set(CMAKE_EXPORT_COMPILE_COMMANDS ON)
 
-# Library-only: -fPIC (common flags from parent)
-set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -fPIC")
+# Library-only: -fPIC (common flags from parent). Not used for the
+# WebAssembly build, which links everything statically.
+if (NOT EMSCRIPTEN)
+    set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -fPIC")
+endif ()
 
 # uncomment for profiling
 #add_definitions(-pg)
@@ -30,7 +33,10 @@ set_source_files_properties(${Extended_Dirac_SOURCE_FILES} PROPERTIES COMPILE_FL
 ##############################################################################
 
 # USE_SYSTEM_Z3 is defined in the parent CMakeLists.txt (change OFF to ON there to use system Z3).
-if (APPLE)
+if (EMSCRIPTEN)
+    # WebAssembly build (wasm/build.sh): a static Z3 built with Emscripten.
+    target_link_libraries(lsta "${AUTOQ_WASM_Z3_LIB}")
+elseif (APPLE)
     target_link_libraries(lsta "${CMAKE_CURRENT_SOURCE_DIR}/../libz3.a")
 elseif (UNIX)
     if (USE_SYSTEM_Z3)
@@ -51,7 +57,10 @@ include_directories(../include/z3)
 ##############################################################################
 #                              DEPENDENCIES - ANTLR
 ##############################################################################
-if (APPLE)
+if (EMSCRIPTEN)
+    # WebAssembly build (wasm/build.sh): a static ANTLR4 runtime built with Emscripten.
+    target_link_libraries(lsta "${AUTOQ_WASM_ANTLR4_LIB}")
+elseif (APPLE)
     execute_process(
         COMMAND brew --prefix antlr4-cpp-runtime
         OUTPUT_VARIABLE ANTLR4_CPP_RUNTIME_PREFIX
diff --git a/src/util/memory.cpp b/src/util/memory.cpp
index de3034615e..a94148e769 100755
--- a/src/util/memory.cpp
+++ b/src/util/memory.cpp
@@ -13,7 +13,10 @@ size_t peakSize    = AUTOQ::Util::getPeakRSS();
 
 #include "autoq/util/util.hh"
 
-#if defined(_WIN32)
+#if defined(__EMSCRIPTEN__)
+#include <emscripten/heap.h>
+
+#elif defined(_WIN32)
 #include <windows.h>
 #include <psapi.h>
 
@@ -45,7 +48,14 @@ size_t peakSize    = AUTOQ::Util::getPeakRSS();
  */
 size_t AUTOQ::Util::getPeakRSS()
 {
-#if defined(_WIN32)
+#if defined(__EMSCRIPTEN__)
+    /* WebAssembly ---------------------------------------------- */
+    /* The linear memory only grows, so its size is both the current
+     * and the peak footprint. (Emscripten's getrusage() does not fill in
+     * ru_maxrss.) */
+    return emscripten_get_heap_size();
+
+#elif defined(_WIN32)
     /* Windows -------------------------------------------------- */
     PROCESS_MEMORY_COUNTERS info;
     GetProcessMemoryInfo( GetCurrentProcess( ), &info, sizeof(info) );
@@ -91,7 +101,14 @@ size_t AUTOQ::Util::getPeakRSS()
  */
 size_t AUTOQ::Util::getCurrentRSS()
 {
-#if defined(_WIN32)
+#if defined(__EMSCRIPTEN__)
+    /* WebAssembly ---------------------------------------------- */
+    /* The linear memory only grows, so its size is both the current
+     * and the peak footprint. (Emscripten's getrusage() does not fill in
+     * ru_maxrss.) */
+    return emscripten_get_heap_size();
+
+#elif defined(_WIN32)
     /* Windows -------------------------------------------------- */
     PROCESS_MEMORY_COUNTERS info;
     GetProcessMemoryInfo( GetCurrentProcess( ), &info, sizeof(info) );
diff --git a/wasm/README.md b/wasm/README.md
new file mode 100644
index 0000000000..efac443ba2
--- /dev/null
+++ b/wasm/README.md
@@ -0,0 +1,89 @@
+# AutoQ in the browser (WebAssembly)
+
+`wasm/build.sh` compiles the AutoQ command-line tool to WebAssembly with
+[Emscripten](https://emscripten.org). The result, `autoq.js` and `autoq.wasm`,
+powers the playground at `site/playground/`, which runs AutoQ entirely in the
+browser. It is the same `main()` as the native CLI, so it accepts the same
+arguments and files and prints the same output.
+
+## Building
+
+You need an activated [emsdk](https://emscripten.org/docs/getting_started/downloads.html)
+(tested with 6.0.12), `git`, `python3`, and the Boost headers (for example
+`apt install libboost-dev`).
+
+```sh
+git clone https://github.com/emscripten-core/emsdk.git ~/emsdk
+~/emsdk/emsdk install 6.0.12 && ~/emsdk/emsdk activate 6.0.12
+source ~/emsdk/emsdk_env.sh
+
+wasm/build.sh            # writes site/playground/autoq.js and autoq.wasm
+```
+
+The first run builds Z3 4.12.5 and the ANTLR 4.13.2 C++ runtime as static
+WebAssembly libraries in `build-wasm/deps/` and takes a while. Later runs reuse
+them and only rebuild AutoQ. Both versions match the headers bundled in
+`include/z3` and `include/antlr4-runtime`.
+
+Environment variables: `AUTOQ_WASM_DEPS` (dependency cache, default
+`build-wasm/deps`), `AUTOQ_WASM_BUILD` (AutoQ build directory, default
+`build-wasm/autoq`), `BOOST_INCLUDE_DIR` (default `/usr/include`) and `JOBS`.
+An optional argument sets the output directory.
+
+## Trying it locally
+
+```sh
+python3 -m http.server -d site 8000
+# open http://localhost:8000/playground/
+```
+
+The page needs to be served over HTTP: browsers don't load module workers
+from `file://` URLs.
+
+## Checking it against the native build
+
+```sh
+node wasm/compare.mjs build/cli/autoq site/playground
+```
+
+This runs every playground example (`site/playground/examples.js`) with the
+native `autoq` and with the WebAssembly build and checks that both print the
+same output and exit code, ignoring the timing and memory figures. Set
+`VERBOSE=1` to see the outputs.
+
+## How it fits together
+
+- **CMake.** When configured with `emcmake`, the root `CMakeLists.txt` takes
+  Boost from `AUTOQ_WASM_BOOST_INCLUDE` (only header-only parts are used) and
+  skips the unit tests; `src/CMakeLists.txt` links the prebuilt Z3 and ANTLR
+  libraries; `cli/CMakeLists.txt` links `autoq` as an ES module that exports
+  `createAutoQ()` and does not run `main()` on load. The native build is
+  unchanged.
+- **The page.** `site/playground/worker.js` compiles `autoq.wasm` once, then
+  creates a fresh instance for every run (`main()` keeps global state), writes
+  the files into the in-memory file system and calls `main()` through
+  `callMain([...args])`. The page itself never blocks, and Stop simply
+  terminates the worker.
+- **Deployment.** `.github/workflows/pages.yml` installs emsdk, restores the
+  cached Z3 and ANTLR build, runs `wasm/build.sh` and deploys `site/`. The
+  generated `autoq.js` and `autoq.wasm` are not committed.
+
+## Differences from the native build
+
+- WebAssembly has no floating-point traps, so the `feenableexcept()` call in
+  `cli/autoq.cc` is skipped: an arithmetic error that stops the native tool
+  with `SIGFPE` produces `inf` or `NaN` here instead.
+- The reported memory usage is the size of the WebAssembly heap, which only
+  grows; Emscripten does not report a resident set size.
+- Runs are single-threaded and limited to the memory a browser grants a page
+  (at most 4 GB), so the largest benchmarks are better run natively.
+- Source paths in error messages are relative to the repository root.
+
+## Patches to Z3
+
+`wasm/build.sh` patches three lines of Z3 4.12.5 after cloning it. They are
+uses of nonexistent members (`get`, `m_low_bound`,
+`get_value_of_column_cell`) in templates that are never instantiated; GCC and
+older clang accept them, the clang in current Emscripten does not. Later Z3
+releases contain the same fixes. Drop the patches if you move to a newer Z3,
+and update `Z3_TAG` together with `include/z3`.
diff --git a/wasm/build.sh b/wasm/build.sh
new file mode 100755
index 0000000000..83ad91eeb7
--- /dev/null
+++ b/wasm/build.sh
@@ -0,0 +1,90 @@
+#!/usr/bin/env bash
+# Build AutoQ for WebAssembly with Emscripten.
+#
+# Usage:   wasm/build.sh [OUT_DIR]          (default OUT_DIR: site/playground)
+# Needs:   an activated emsdk (emcc/emcmake on PATH; tested with 6.0.12), git, python3, and the
+#          Boost headers (BOOST_INCLUDE_DIR, default /usr/include).
+# Env:     AUTOQ_WASM_DEPS   where Z3 and ANTLR are built and cached
+#                            (default: build-wasm/deps)
+#          AUTOQ_WASM_BUILD  build directory for AutoQ (default: build-wasm/autoq)
+#          JOBS              parallel build jobs
+#
+# Z3 and the ANTLR runtime are built once as static WebAssembly libraries and
+# reused on later runs. Everything is compiled with native WebAssembly
+# exceptions (-fwasm-exceptions), which all current browsers support.
+set -euo pipefail
+
+ROOT=$(cd "$(dirname "$0")/.." && pwd)
+DEPS=${AUTOQ_WASM_DEPS:-$ROOT/build-wasm/deps}
+BUILD=${AUTOQ_WASM_BUILD:-$ROOT/build-wasm/autoq}
+OUT=${1:-$ROOT/site/playground}
+BOOST_INCLUDE_DIR=${BOOST_INCLUDE_DIR:-/usr/include}
+JOBS=${JOBS:-$(nproc 2>/dev/null || sysctl -n hw.ncpu 2>/dev/null || echo 2)}
+
+# Keep these in sync with the bundled headers in include/z3 and include/antlr4-runtime.
+Z3_TAG=z3-4.12.5
+ANTLR_TAG=4.13.2
+EH_FLAGS="-fwasm-exceptions"
+
+command -v emcmake >/dev/null || { echo "error: emcmake not found; install and activate emsdk first" >&2; exit 1; }
+[ -d "$BOOST_INCLUDE_DIR/boost" ] || { echo "error: Boost headers not found in $BOOST_INCLUDE_DIR" >&2; exit 1; }
+mkdir -p "$DEPS"
+
+# Boost: header-only parts only. Expose just the boost/ directory so that no
+# other host headers leak into the Emscripten build.
+mkdir -p "$DEPS/boost-include"
+ln -sfn "$BOOST_INCLUDE_DIR/boost" "$DEPS/boost-include/boost"
+
+# Z3
+if [ ! -f "$DEPS/z3/libz3.a" ]; then
+  [ -d "$DEPS/z3-src" ] || git clone --depth 1 --branch "$Z3_TAG" https://github.com/Z3Prover/z3.git "$DEPS/z3-src"
+  # Recent clang rejects references to nonexistent members inside
+  # uninstantiated templates. This Z3 release has three such leftovers from
+  # renames; later Z3 releases contain the same fixes.
+  sed -i.orig 's/v\.m_matrix\.get(v\.m_row, v\.m_col)/v.m_matrix.get_elem(v.m_row, v.m_col)/' \
+    "$DEPS/z3-src/src/math/lp/static_matrix.h"
+  sed -i.orig 's/c\.m_low_bound)/c.m_lower_bound)/' "$DEPS/z3-src/src/math/lp/column_info.h"
+  sed -i.orig 's/A\.get_value_of_column_cell(col)/A.get_val(col)/' "$DEPS/z3-src/src/math/lp/static_matrix_def.h"
+  emcmake cmake -S "$DEPS/z3-src" -B "$DEPS/z3-build" \
+    -DCMAKE_BUILD_TYPE=Release \
+    -DCMAKE_CXX_FLAGS="$EH_FLAGS" \
+    -DZ3_SINGLE_THREADED=ON \
+    -DZ3_BUILD_LIBZ3_SHARED=OFF \
+    -DZ3_BUILD_EXECUTABLE=OFF \
+    -DZ3_BUILD_TEST_EXECUTABLES=OFF \
+    -DZ3_ENABLE_EXAMPLE_TARGETS=OFF \
+    -DZ3_BUILD_PYTHON_BINDINGS=OFF \
+    -DZ3_BUILD_DOCUMENTATION=OFF
+  cmake --build "$DEPS/z3-build" --target libz3 -j "$JOBS"
+  mkdir -p "$DEPS/z3"
+  cp "$DEPS/z3-build/libz3.a" "$DEPS/z3/libz3.a"
+fi
+
+# ANTLR4 C++ runtime
+if [ ! -f "$DEPS/antlr4/libantlr4-runtime.a" ]; then
+  [ -d "$DEPS/antlr4-src" ] || git clone --depth 1 --branch "$ANTLR_TAG" https://github.com/antlr/antlr4.git "$DEPS/antlr4-src"
+  emcmake cmake -S "$DEPS/antlr4-src/runtime/Cpp" -B "$DEPS/antlr4-build" \
+    -DCMAKE_BUILD_TYPE=Release \
+    -DCMAKE_CXX_FLAGS="$EH_FLAGS" \
+    -DANTLR_BUILD_CPP_TESTS=OFF \
+    -DANTLR_BUILD_SHARED=OFF \
+    -DANTLR_BUILD_STATIC=ON \
+    -DWITH_DEMO=OFF
+  cmake --build "$DEPS/antlr4-build" --target antlr4_static -j "$JOBS"
+  mkdir -p "$DEPS/antlr4"
+  cp "$(find "$DEPS/antlr4-build" -name 'libantlr4-runtime.a' | head -n 1)" "$DEPS/antlr4/libantlr4-runtime.a"
+fi
+
+# AutoQ
+# -ffile-prefix-map keeps the build machine's paths out of error messages.
+emcmake cmake -S "$ROOT" -B "$BUILD" \
+  -DCMAKE_BUILD_TYPE=Release \
+  -DCMAKE_CXX_FLAGS="$EH_FLAGS -ffile-prefix-map=$ROOT/=" \
+  -DAUTOQ_WASM_BOOST_INCLUDE="$DEPS/boost-include" \
+  -DAUTOQ_WASM_Z3_LIB="$DEPS/z3/libz3.a" \
+  -DAUTOQ_WASM_ANTLR4_LIB="$DEPS/antlr4/libantlr4-runtime.a"
+cmake --build "$BUILD" --target autoq -j "$JOBS"
+
+mkdir -p "$OUT"
+cp "$BUILD/cli/autoq.js" "$BUILD/cli/autoq.wasm" "$OUT/"
+echo "Wrote $OUT/autoq.js and $OUT/autoq.wasm"
diff --git a/wasm/compare.mjs b/wasm/compare.mjs
new file mode 100644
index 0000000000..10a593b473
--- /dev/null
+++ b/wasm/compare.mjs
@@ -0,0 +1,50 @@
+// Runs every playground example with the native CLI and with the WebAssembly
+// build, and checks that both print the same output (timing and memory
+// figures are masked).
+//
+// Usage: node wasm/compare.mjs [path/to/native/autoq] [dir with autoq.js]
+//        defaults: build/cli/autoq and site/playground
+import { execFileSync } from 'node:child_process';
+import { mkdtempSync, writeFileSync } from 'node:fs';
+import { tmpdir } from 'node:os';
+import { join, resolve } from 'node:path';
+import { pathToFileURL } from 'node:url';
+
+const native = resolve(process.argv[2] ?? 'build/cli/autoq');
+const wasmDir = resolve(process.argv[3] ?? 'site/playground');
+const { EXAMPLES } = await import(pathToFileURL(join(wasmDir, 'examples.js')));
+const { default: createAutoQ } = await import(pathToFileURL(join(wasmDir, 'autoq.js')));
+
+const ARGS = { ver: ['pre.hsl', 'circuit.qasm', 'post.hsl'], ex: ['pre.hsl', 'circuit.qasm'], eq: ['a.qasm', 'b.qasm'] };
+const mask = (s) => s
+  .replace(/\[\d+(\.\d+)?(ms|s|m|h|d)?\](?= with| memory|\.|$)/g, '[T]')
+  .replace(/\[\d+(\.\d+)?(ms|us|s|m)\]/g, '[T]')
+  .replace(/\[\d+MB\]/g, '[MB]')
+  .trim();
+
+let failures = 0;
+for (const ex of EXAMPLES) {
+  const args = [ex.mode, ...ARGS[ex.mode]];
+  const dir = mkdtempSync(join(tmpdir(), 'autoq-cmp-'));
+  for (const f of ex.files) writeFileSync(join(dir, f.name), f.content);
+
+  let nat, natCode = 0;
+  try { nat = execFileSync(native, args, { cwd: dir, encoding: 'utf8', stdio: ['ignore', 'pipe', 'pipe'] }); }
+  catch (e) { nat = (e.stdout ?? '') + (e.stderr ?? ''); natCode = e.status; }
+
+  const lines = [];
+  const mod = await createAutoQ({ print: (l) => lines.push(l), printErr: (l) => lines.push(l) });
+  mod.FS.mkdir('/work'); mod.FS.chdir('/work');
+  for (const f of ex.files) mod.FS.writeFile(f.name, f.content);
+  let wasmCode;
+  try { wasmCode = mod.callMain([...args]); } catch (e) { if (e?.name === 'ExitStatus') wasmCode = e.status; else throw e; }
+  const wasm = lines.join('\n');
+
+  const same = mask(nat) === mask(wasm) && natCode === wasmCode;
+  if (!same) failures++;
+  console.log(`${same ? 'same' : 'DIFF'}  ${ex.id.padEnd(8)} autoq ${args.join(' ')}  (exit ${natCode}/${wasmCode})`);
+  if (process.env.VERBOSE) console.log('  ' + mask(wasm).split('\n').join('\n  '));
+  if (!same) console.log(`  native: ${mask(nat)}\n  wasm:   ${mask(wasm)}`);
+}
+console.log(failures ? `${failures} example(s) differ` : 'All examples match.');
+process.exit(failures ? 1 : 0);

From 7acdc5c19d15bd7a52f0978d99f756621825927f Mon Sep 17 00:00:00 2001
From: Ondra Lengal <ondra.lengal@gmail.com>
Date: Mon, 19 Oct 2026 14:46:09 +0200
Subject: [PATCH 3/4] Landing page: point to the playground in Get started

The hero and the nav already link to it; this adds a sentence at the start of Get started for readers who want to try AutoQ before installing it.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_013gtFQRPe1eSSpmA7EJ2KNY
---
 site/index.html | 3 ++-
 1 file changed, 2 insertions(+), 1 deletion(-)

diff --git a/site/index.html b/site/index.html
index f742320a70..71314b2a74 100644
--- a/site/index.html
+++ b/site/index.html
@@ -1063,7 +1063,8 @@ <h4>Postcondition <span class="m"><i>Q</i><sub>2</sub></span> fails</h4>
     <h2 id="h-start"><span class="secnum" aria-hidden="true">3</span>Get started</h2>
     <div class="row">
       <div class="main">
-        <p class="lede">AutoQ builds from source on Linux (Ubuntu or Debian), macOS and WSL2. Four steps take you from a fresh clone to a verified program.</p>
+        <p class="lede">To try AutoQ without installing anything, open the <a href="playground/">playground</a>: it runs the same tool in your browser, compiled to WebAssembly, with the examples from this page ready to run.</p>
+        <p>To install it, AutoQ builds from source on Linux (Ubuntu or Debian), macOS and WSL2. Four steps take you from a fresh clone to a verified program.</p>
         <ol class="qs">
           <li>
             <h3 class="qs-h">Clone the repository</h3>

From 159071f9502a712a0be266d51bde931d4ab9b2d0 Mon Sep 17 00:00:00 2001
From: Ondra Lengal <ondra.lengal@gmail.com>
Date: Tue, 20 Oct 2026 11:48:51 +0200
Subject: [PATCH 4/4] Playground: give eq its own files and examples
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

In eq mode the editor now shows only a.qasm and b.qasm, and the example
list offers equivalence examples: CX = H·CZ·H, SWAP as three CX gates,
Toffoli against its Clifford+T decomposition, the same decomposition
with one T replaced by T† (unequal), and XZ vs ZX (equal up to global
phase). ver and ex keep sharing one workspace; each workspace keeps its
edits when switching commands. [equal]/[unequal] are highlighted like
[OK]/[failed].

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_013gtFQRPe1eSSpmA7EJ2KNY
---
 site/playground/examples.js   | 68 +++++++++++++++++++++++++++++-
 site/playground/index.html    |  2 +-
 site/playground/playground.js | 79 ++++++++++++++++++-----------------
 3 files changed, 107 insertions(+), 42 deletions(-)

diff --git a/site/playground/examples.js b/site/playground/examples.js
index b9e6b81e51..c69971286f 100644
--- a/site/playground/examples.js
+++ b/site/playground/examples.js
@@ -1,4 +1,4 @@
-// Generated from the repository files named in `source` (see wasm/README.md).
+// Playground examples; `source` says where each one comes from.
 export const EXAMPLES = [
   {
     "id": "readme",
@@ -126,7 +126,7 @@ export const EXAMPLES = [
   },
   {
     "id": "eq",
-    "title": "Circuit equivalence: CX = H·CZ·H",
+    "title": "Equivalence: CX = H·CZ·H",
     "source": "landing page",
     "mode": "eq",
     "files": [
@@ -139,5 +139,69 @@ export const EXAMPLES = [
         "content": "OPENQASM 2.0;\ninclude \"qelib1.inc\";\nqreg q[2];\nh q[1];\ncz q[0], q[1];\nh q[1];\n"
       }
     ]
+  },
+  {
+    "id": "eq-swap",
+    "title": "Equivalence: SWAP = three CX gates",
+    "source": "standard identity",
+    "mode": "eq",
+    "files": [
+      {
+        "name": "a.qasm",
+        "content": "OPENQASM 2.0;\ninclude \"qelib1.inc\";\nqreg q[2];\nswap q[0], q[1];\n"
+      },
+      {
+        "name": "b.qasm",
+        "content": "OPENQASM 2.0;\ninclude \"qelib1.inc\";\nqreg q[2];\ncx q[0], q[1];\ncx q[1], q[0];\ncx q[0], q[1];\n"
+      }
+    ]
+  },
+  {
+    "id": "eq-toffoli",
+    "title": "Equivalence: Toffoli in Clifford+T",
+    "source": "standard Clifford+T decomposition (7 T gates, 6 CX)",
+    "mode": "eq",
+    "files": [
+      {
+        "name": "a.qasm",
+        "content": "OPENQASM 2.0;\ninclude \"qelib1.inc\";\nqreg q[3];\nccx q[0], q[1], q[2];\n"
+      },
+      {
+        "name": "b.qasm",
+        "content": "OPENQASM 2.0;\ninclude \"qelib1.inc\";\nqreg q[3];\nh q[2];\ncx q[1], q[2];\ntdg q[2];\ncx q[0], q[2];\nt q[2];\ncx q[1], q[2];\ntdg q[2];\ncx q[0], q[2];\nt q[1];\nt q[2];\nh q[2];\ncx q[0], q[1];\nt q[0];\ntdg q[1];\ncx q[0], q[1];\n"
+      }
+    ]
+  },
+  {
+    "id": "eq-toffoli-bug",
+    "title": "Non-equivalence: Toffoli with a wrong T gate",
+    "source": "eq-toffoli with one T replaced by T†",
+    "mode": "eq",
+    "files": [
+      {
+        "name": "a.qasm",
+        "content": "OPENQASM 2.0;\ninclude \"qelib1.inc\";\nqreg q[3];\nccx q[0], q[1], q[2];\n"
+      },
+      {
+        "name": "b.qasm",
+        "content": "OPENQASM 2.0;\ninclude \"qelib1.inc\";\nqreg q[3];\nh q[2];\ncx q[1], q[2];\ntdg q[2];\ncx q[0], q[2];\ntdg q[2]; // should be: t q[2];\ncx q[1], q[2];\ntdg q[2];\ncx q[0], q[2];\nt q[1];\nt q[2];\nh q[2];\ncx q[0], q[1];\nt q[0];\ntdg q[1];\ncx q[0], q[1];\n"
+      }
+    ]
+  },
+  {
+    "id": "eq-phase",
+    "title": "Equivalence up to global phase: XZ vs ZX",
+    "source": "standard identity (XZ = −ZX)",
+    "mode": "eq",
+    "files": [
+      {
+        "name": "a.qasm",
+        "content": "OPENQASM 2.0;\ninclude \"qelib1.inc\";\nqreg q[1];\nx q[0];\nz q[0];\n"
+      },
+      {
+        "name": "b.qasm",
+        "content": "OPENQASM 2.0;\ninclude \"qelib1.inc\";\nqreg q[1];\nz q[0];\nx q[0];\n"
+      }
+    ]
   }
 ];
diff --git a/site/playground/index.html b/site/playground/index.html
index f9a88dde58..761327da86 100644
--- a/site/playground/index.html
+++ b/site/playground/index.html
@@ -95,7 +95,7 @@ <h1 id="title">Playground</h1>
   <section class="notes wrap" aria-labelledby="notes-title">
     <h2 id="notes-title">Notes</h2>
     <ul>
-      <li><code>ver</code> checks the circuit against the postcondition and prints <code>[OK]</code> or <code>[failed]</code>. <code>ex</code> prints the set of states after the circuit. <code>eq</code> compares two circuits; it reads the qubit count from an OpenQASM 2.0 <code>qreg</code> declaration.</li>
+      <li><code>ver</code> checks the circuit against the postcondition and prints <code>[OK]</code> or <code>[failed]</code>. <code>ex</code> prints the set of states after the circuit. <code>eq</code> compares the circuits in <code>a.qasm</code> and <code>b.qasm</code> and prints <code>[equal]</code> if they implement the same unitary up to a global phase; it reads the qubit count from an OpenQASM 2.0 <code>qreg</code> declaration. <code>eq</code> has its own files and examples; <code>ver</code> and <code>ex</code> share theirs, and edits are kept when you switch.</li>
       <li>A <code>while</code> loop names its invariant file in a trailing comment, as in the <em>While loop</em> example. Every file in the tabs is available to the run under its tab name.</li>
       <li>The first run downloads the WebAssembly module (it includes the Z3 solver). Later runs reuse it.</li>
       <li>Runs use a single thread and the memory your browser allows a page, so the larger benchmarks from the papers may be slow or run out of memory here. Use the native build for those.</li>
diff --git a/site/playground/playground.js b/site/playground/playground.js
index 537bcfe802..90a9ff53e7 100644
--- a/site/playground/playground.js
+++ b/site/playground/playground.js
@@ -13,15 +13,13 @@ const MODES = {
   ex: ['pre.hsl', 'circuit.qasm'],
   eq: ['a.qasm', 'b.qasm'],
 };
-const TEMPLATES = {
-  'pre.hsl': 'Extended Dirac\n{|0>}\n',
-  'post.hsl': 'Extended Dirac\n{|1>}\n',
-  'circuit.qasm': 'OPENQASM 3;\ninclude "stdgates.inc";\nqubit[1] qb;\n\nx qb[0];\n',
-  'a.qasm': 'OPENQASM 2.0;\ninclude "qelib1.inc";\nqreg q[1];\nx q[0];\n',
-  'b.qasm': 'OPENQASM 2.0;\ninclude "qelib1.inc";\nqreg q[1];\nh q[0];\nz q[0];\nh q[0];\n',
-};
+// ver and ex run one circuit on a set of states and share a workspace; eq
+// compares two circuits and has its own files and examples. Each workspace
+// keeps its edits while the other one is shown.
+const kind = (mode) => (mode === 'eq' ? 'eq' : 'circuit');
 
-const state = { example: null, files: [], active: 0, mode: 'ver' };
+const state = { mode: 'ver', workspaces: {} };
+const ws = () => state.workspaces[kind(state.mode)];
 
 // ---------- theme toggle (shared with the landing page) ----------
 (function theme() {
@@ -42,30 +40,32 @@ const state = { example: null, files: [], active: 0, mode: 'ver' };
 })();
 
 // ---------- examples, tabs, editor ----------
-for (const ex of EXAMPLES) {
-  const o = document.createElement('option');
-  o.value = ex.id;
-  o.textContent = ex.title;
-  els.example.append(o);
-}
-
+// Loads an example into its workspace. Within the same workspace the command
+// stays as it is (an ex run can switch examples); otherwise it becomes the
+// example's own command.
 function loadExample(id) {
   const ex = EXAMPLES.find((e) => e.id === id) ?? EXAMPLES[0];
-  state.example = ex;
-  state.files = ex.files.map((f) => ({ ...f }));
-  state.active = 0;
-  setMode(ex.mode);
-  els.example.value = ex.id;
-  render();
+  state.workspaces[kind(ex.mode)] = { example: ex, files: ex.files.map((f) => ({ ...f })), active: 0 };
+  showMode(kind(ex.mode) === kind(state.mode) ? state.mode : ex.mode);
 }
 
 function setMode(mode) {
+  if (!state.workspaces[kind(mode)]) {
+    const first = EXAMPLES.find((e) => kind(e.mode) === kind(mode));
+    state.workspaces[kind(mode)] = { example: first, files: first.files.map((f) => ({ ...f })), active: 0 };
+  }
+  showMode(mode);
+}
+
+function showMode(mode) {
   state.mode = mode;
   els.toolbar.querySelector(`input[name="mode"][value="${mode}"]`).checked = true;
-  for (const name of MODES[mode]) {
-    if (!state.files.some((f) => f.name === name)) state.files.push({ name, content: TEMPLATES[name] });
-  }
   els.loopsumWrap.hidden = mode === 'eq';
+  els.example.replaceChildren(...EXAMPLES
+    .filter((e) => kind(e.mode) === kind(mode))
+    .map((e) => new Option(e.title, e.id)));
+  els.example.value = ws().example.id;
+  render();
 }
 
 function args() {
@@ -75,44 +75,45 @@ function args() {
 }
 
 function render() {
-  els.tabs.replaceChildren(...state.files.map((f, i) => {
+  const { files, active } = ws();
+  els.tabs.replaceChildren(...files.map((f, i) => {
     const b = document.createElement('button');
     b.type = 'button';
     b.role = 'tab';
     b.id = `tab-${i}`;
     b.textContent = f.name;
-    b.setAttribute('aria-selected', String(i === state.active));
+    b.setAttribute('aria-selected', String(i === active));
     b.setAttribute('aria-controls', 'editor');
-    b.tabIndex = i === state.active ? 0 : -1;
+    b.tabIndex = i === active ? 0 : -1;
     b.addEventListener('click', () => select(i));
     return b;
   }));
-  const f = state.files[state.active];
-  els.editor.value = f.content;
-  els.editor.setAttribute('aria-labelledby', `tab-${state.active}`);
+  els.editor.value = files[active].content;
+  els.editor.setAttribute('aria-labelledby', `tab-${active}`);
   els.cmd.innerHTML = '<span class="pr">$ </span>' + escapeHtml(['autoq', ...args()].join(' '));
 }
 
 function select(i, focus = false) {
-  state.active = i;
+  ws().active = i;
   render();
   if (focus) document.getElementById(`tab-${i}`).focus();
 }
 
 els.tabs.addEventListener('keydown', (e) => {
-  const n = state.files.length;
+  const { files, active } = ws();
+  const n = files.length;
   const moves = { ArrowRight: 1, ArrowLeft: n - 1 };
-  if (e.key in moves) { e.preventDefault(); select((state.active + moves[e.key]) % n, true); }
+  if (e.key in moves) { e.preventDefault(); select((active + moves[e.key]) % n, true); }
   else if (e.key === 'Home') { e.preventDefault(); select(0, true); }
   else if (e.key === 'End') { e.preventDefault(); select(n - 1, true); }
 });
-els.editor.addEventListener('input', () => { state.files[state.active].content = els.editor.value; });
+els.editor.addEventListener('input', () => { ws().files[ws().active].content = els.editor.value; });
 els.example.addEventListener('change', () => loadExample(els.example.value));
 els.toolbar.addEventListener('change', (e) => {
-  if (e.target.name === 'mode') { setMode(e.target.value); render(); }
+  if (e.target.name === 'mode') setMode(e.target.value);
   if (e.target === els.loopsum) render();
 });
-els.reset.addEventListener('click', () => loadExample(state.example.id));
+els.reset.addEventListener('click', () => loadExample(ws().example.id));
 
 // ---------- running ----------
 let worker = null;
@@ -190,7 +191,7 @@ function run() {
   const t0 = performance.now();
   setStatus('Running… 0.0s', true);
   timer = setInterval(() => setStatus(`Running… ${((performance.now() - t0) / 1000).toFixed(1)}s`, true), 100);
-  worker.postMessage({ args: args(), files: state.files });
+  worker.postMessage({ args: args(), files: ws().files });
 }
 
 function stop() {
@@ -216,8 +217,8 @@ function escapeHtml(s) {
 }
 function highlight(line) {
   return escapeHtml(line)
-    .replace(/\[OK\]/g, '<span class="ok">[OK]</span>')
-    .replace(/\[failed\]|\[ERROR\]/g, (m) => `<span class="bad">${m}</span>`);
+    .replace(/\[OK\]|\[equal\]/g, (m) => `<span class="ok">${m}</span>`)
+    .replace(/\[failed\]|\[unequal\]|\[ERROR\]/g, (m) => `<span class="bad">${m}</span>`);
 }
 function show(lines, footer) {
   const html = lines.map((o) => o.stream === 'err'