From a50ad19eb0a2fb37c57b7d8cda8bb9bfb19d4829 Mon Sep 17 00:00:00 2001 From: Claude Date: Thu, 1 Oct 2026 03:27:33 +0000 Subject: [PATCH 1/2] docs: rewrite the README and add a CITATION.cff Restructures the README around getting started (web, desktop, source), features, the CLI and development, and adds a Citation section with BibTeX and APA entries. CITATION.cff enables GitHub's "Cite this repository" button. Co-Authored-By: Claude Opus 5.5 Claude-Session: https://claude.ai/code/session_017YKJF9uBDjB19vfGA1XE2k --- CITATION.cff | 26 ++++ README.md | 410 +++++++++++++++++++++++++++++---------------------- 2 files changed, 258 insertions(+), 178 deletions(-) create mode 100644 CITATION.cff diff --git a/CITATION.cff b/CITATION.cff new file mode 100644 index 0000000..84aabc7 --- /dev/null +++ b/CITATION.cff @@ -0,0 +1,26 @@ +cff-version: 1.2.0 +message: "If you use AutomataStudio in your research or teaching, please cite it as below." +type: software +title: "AutomataStudio: An IDE for Designing, Simulating and Analysing Automata" +abstract: >- + An interactive environment for building, running and analysing automata — + finite, ω-, pushdown, Turing and transducer machines — with a grammar + workbench, steppable textbook constructions, a built-in theory reference, + and a command-line engine with Turing-machine halting proofs. +authors: + - family-names: Chaubey + given-names: Shreyan + alias: thethinkmachine +version: 2.9.0 +license: LicenseRef-PolyForm-Noncommercial-1.0.0 +repository-code: "https://github.com/thethinkmachine/AutomataStudio" +url: "https://thethinkmachine.github.io/AutomataStudio/" +keywords: + - automata theory + - formal languages + - Turing machines + - pushdown automata + - omega-automata + - context-free grammars + - simulation + - education diff --git a/README.md b/README.md index 6b2b873..e299082 100644 --- a/README.md +++ b/README.md @@ -1,226 +1,280 @@ +
+ # AutomataStudio -An IDE for designing, testing and debugging automata. It includes an interactive grammar -workbench, visual algorithm stepping, a built-in theory reference, and StateMate, an AI assistant that can build and edit machines from a prompt. It is also Turing Complete! +**An IDE for designing, simulating and analysing automata.** -![An 8-tape Turing machine executing a stored program, one step per frame](docs/media/cpu.gif) +Draw a machine, run it step by step, derive its language, put it through the textbook +constructions, and take it out as a diagram, LaTeX or working code. It covers 30 +machine types, from DFAs to multi-tape Turing machines and ω-automata. -A 5-bit accumulator CPU with a custom 19-opcode ISA, built entirely as an 8-tape -Turing machine — 614 states and 19,191 transitions, organised into 40 nested building -blocks, the 17 outermost of which are the boxes above: Instruction Frontend, ALU, -Memory, X Register, CALL, RET, the jumps. It runs -`ADD 4 / CMP 12 / BCS / JMP` — multiplication by repeated addition — fetching, -decoding and executing from the program on tape 1 until it halts with 12 in the -accumulator, in 331 machine steps. +[![Version](https://img.shields.io/github/package-json/v/thethinkmachine/AutomataStudio?label=version)](https://github.com/thethinkmachine/AutomataStudio/releases) +[![License: PolyForm Noncommercial](https://img.shields.io/badge/license-PolyForm%20Noncommercial%201.0.0-blue)](LICENSE) +[![Deploy](https://github.com/thethinkmachine/AutomataStudio/actions/workflows/deploy.yml/badge.svg)](https://github.com/thethinkmachine/AutomataStudio/actions/workflows/deploy.yml) +[![Desktop build](https://github.com/thethinkmachine/AutomataStudio/actions/workflows/electron-build.yml/badge.svg)](https://github.com/thethinkmachine/AutomataStudio/actions/workflows/electron-build.yml) -![A DFA for binary divisibility by five, open on the canvas](docs/media/hero.png) +[**Open in the browser**](https://thethinkmachine.github.io/AutomataStudio/) · +[Download the desktop app](https://github.com/thethinkmachine/AutomataStudio/releases/latest) · +[Machine library](https://thethinkmachine.github.io/automata-library/) · +[Cite](#citation) + +![An 8-tape Turing machine executing a stored program, one step per frame](docs/media/cpu.gif) + +A 5-bit accumulator CPU with a 19-opcode instruction set, built entirely as an 8-tape +Turing machine: 614 states and 19,191 transitions in 40 nested building blocks. It +runs a multiply-by-repeated-addition program from tape 1 and halts with 12 in the +accumulator after 331 steps. -The build view. A five-state DFA that reads a binary number most-significant bit -first and accepts the multiples of 5 — each state is the remainder so far, so bit `b` -sends remainder `r` to `(2r + b) mod 5`. The inspector on the right derives the -language rather than being told it: a regular expression by state elimination, the -formal tuple `M = (Q⁵, Σ², δ¹⁰, q₀, F¹)`, and an acceptance fingerprint — 187 words -decided so far, 41 accepted and 146 rejected, the ribbon deciding more as it is -scrolled. The panels on the left list Q and δ as editable rows; the notes on the -canvas are part of the saved document. +
--- -## Quick Start -Run the app locally. Requires Node.js. +## Contents + +- [Getting started](#getting-started) +- [Features](#features) +- [Algorithms and theory](#algorithms-and-theory) +- [Command line](#command-line) +- [Development](#development) +- [Known issues](#known-issues) +- [Contributing](#contributing) +- [Citation](#citation) +- [License](#license) + +## Getting started + +You can use AutomataStudio in three ways. + +| | How | Notes | +| --- | --- | --- | +| **Web** | [thethinkmachine.github.io/AutomataStudio](https://thethinkmachine.github.io/AutomataStudio/) | Nothing to install, and your machines stay in your browser. | +| **Desktop** | [Latest release](https://github.com/thethinkmachine/AutomataStudio/releases/latest) for Windows, macOS and Linux | Windows and Linux AppImage builds update themselves. The `automata` CLI ships inside. | +| **From source** | See below | Requires Node.js 20.19+ or 22.12+ (24 LTS recommended). | ```bash git clone https://github.com/thethinkmachine/AutomataStudio.git cd AutomataStudio npm install -npm run dev +npm run dev # http://localhost:5173 ``` -Open `http://localhost:5173/` (or whichever port Vite uses) in your browser. +### Your first machine -```bash -npm test # the test suite -npm run build # production build -> dist/ -npm run electron:dev # run inside the desktop shell -``` +1. Choose a model from the picker, for example **DFA**. +2. Use the **State** tool to place states and the **Transition** tool to connect + them, then double-click a state to mark it accepting. +3. Type a word into the run box and step through it, or paste a list of words into + the batch tester. +4. The inspector on the right derives the language for you: a regular expression, the + formal tuple, and an acceptance fingerprint. + +You can also skip drawing. The **Machine Wizard** builds a machine from your answers +to a few questions, **StateMate** builds one from a prompt, and the +[machine library](https://thethinkmachine.github.io/automata-library/) has ready-made +machines to open and remix. + +![A DFA for binary divisibility by five, open on the canvas](docs/media/hero.png) + +A five-state DFA that accepts binary multiples of 5. The inspector derives a regular +expression by state elimination, the tuple `M = (Q⁵, Σ², δ¹⁰, q₀, F¹)`, and an +acceptance fingerprint of the words decided so far. ## Features ### Machines -29 machine types, grouped as the model picker groups them: | Group | Machines | | --- | --- | -| Finite Automata | DFA, NFA, ε-NFA, 2DFA, 2NFA, PFA | -| Omega Automata | DBA, DcoBA, DPA, DWA, NBA, NcoBA, NPA, NWA | -| Memory Automata | DPDA, NPDA, Queue Automaton, Counter Automaton, 2-Stack PDA | -| Turing Machines | TM, NDTM, MTM, LBA, 2-Way Infinite TM | -| Transducers | Moore, Mealy, FST, Pushdown Transducer, 2-Way Transducer | - -The eight ω-automata are determinism crossed with the acceptance condition -(Büchi, co-Büchi, parity, weak), so the label on screen is always the machine you -have. Multi-tape Turing machines take any tape count — the ceiling is a setting, -not a constant. Turing machines can be run on a one-way or two-way infinite tape. - -### Building the machine -* **Interactive Canvas:** Draw states and transitions directly. Drag to reposition, - bend edges by hand, and arrange automatically. Notes, regions and separators are - first-class objects you can select and move like anything else. -* **Machine Wizard:** Build or edit a machine by answering questions — the alphabet, - the states, the transitions — instead of drawing one. Covers every machine type. -* **Building Blocks:** A block is a sub-machine drawn as one node, with one entry and - named exits. Blocks nest, can be reused from a library, and are inlined at - placement time, so the machine stays flat and every simulator, exporter and - decider works on it unchanged. See [docs/building-blocks.md](docs/building-blocks.md). -* **Multiple Workspaces:** Tabbed editing, each tab an independent document. -* **Themes:** 19 built-in themes, light and dark. - -### Running it -* **Step-by-Step Simulation:** Watch tape execution and state transitions in real - time, with a scrubber, a trace log, and a tape tracker that draws each model's - ends honestly — a wall where the tape stops, a fade where it does not. -* **Batch Testing:** Decide a list of words at once, spread across every core. -* **Language Panel:** Derived regular expressions, language class, and a scrollable +| Finite automata | DFA, NFA, ε-NFA, 2DFA, 2NFA, PFA | +| ω-automata | DBA, DcoBA, DPA, DWA, NBA, NcoBA, NPA, NWA | +| Memory automata | DPDA, NPDA, Queue Automaton, Counter Automaton, 2-Stack PDA, Embedded PDA | +| Turing machines | TM, NDTM, Multi-tape TM, LBA, Two-way infinite TM | +| Transducers | Moore, Mealy, FST, Pushdown Transducer, Two-way Transducer | + +The ω-automata are deterministic and nondeterministic variants of four acceptance +conditions (Büchi, co-Büchi, parity and weak), and their input is an ultimately periodic +word `u(v)`. A multi-tape Turing machine can have any number of tapes. + +### Building +- **Canvas.** Draw states and transitions, bend edges, and arrange the diagram + automatically. Notes, regions and separators are part of the saved document. +- **Building blocks.** A block is a sub-machine shown as one node, with one entry and + named exits. Blocks nest and can be reused, and they are inlined when placed, so + every simulator and exporter sees an ordinary machine. + See [docs/building-blocks.md](docs/building-blocks.md). +- **Machine Wizard.** Builds or edits any machine type from a series of questions. +- **Workspaces and themes.** Edit in multiple tabs, choose from 19 light and dark themes, and use the + mobile layout on small screens. + +### Running +- **Step-by-step simulation** with a scrubber, a trace log in plain sentences, and a + tape view that shows each model's tape boundaries. +- **Batch testing** runs a word list across every CPU core. +- **Nondeterminism** is shown as a computation tree. Turing machines can be proved to + halt, or proved never to halt, beyond what a step budget can tell you. +- **Language panel** shows the derived regular expression, the language class and an acceptance fingerprint. -![Stepping the word 1100100 through the DFA, the run's trail lit on the diagram](docs/media/simulate.gif) - -The same DFA running `1100100` — 100 in binary, so it should accept. Stepping is a -scrubber over the whole run, not a play button: the trail lights the path the -computation actually took, the input row marks the symbol under the head, and the -trace log spells out each transition as a sentence. The counter reads `n / 8` because -a DFA's run is exactly one step per symbol plus the start. +![Stepping the word 1100100 through the DFA](docs/media/simulate.gif) A four-tape Turing machine's tape tracker during a run -A four-tape ALU computing 11 + 6 = 17: tapes 1 and 2 hold the operands `1101` -and `0110` — least-significant bit first, so 11 and 6 — tape 3 the opcode `+`, and -tape 4 the result `10001`. Every row is drawn as the model actually defines it — the -hatched cap and the `bounded left` label say this machine's tape stops at cell 0 -rather than running on, which is a fact a plain row of cells cannot show. The rows -turn green when the run reaches its accepting state. +Left: the divisibility DFA accepting `1100100` (100 in binary). Right: a four-tape ALU +computing 11 + 6 = 17, with each tape drawn as its model defines it. ### Grammars -A grammar workbench with 25 tools in six groups — inspect, normalize, parse, -decide, convert, and a library to start from. Among them: FIRST/FOLLOW, Chomsky -classification, ε-removal, unit and useless-rule elimination, CNF, GNF, left -recursion removal, left factoring, CYK, parse trees, leftmost and rightmost -derivations, ambiguity witnesses, LL(1) tables, word generation, and conversion -to and from the canvas. - -![The CYK table filled span by span, with the step that placed each entry](docs/media/grammar.png) - -The grammar workbench. The grammar is written once in the sticky card at the top and -then taken apart by the tools in the rail; here CYK has decided `aabb ∈ L(G)` and the -table is scrubbed to its last step, with `S` in `T[0][3]` — the cell spanning the -whole word — and the line underneath naming the split that put it there. CYK is -defined on Chomsky normal form, so the conversion it ran on is shown below the table -rather than assumed. - -### Getting it out -* **Import:** JFLAP `.jff` files, including the 6.1 variable and block notation. -* **Diagrams:** PNG and SVG, with text converted to outlines so a diagram carries - its own type and does not depend on the reader having the fonts. -* **Interchange:** Graphviz DOT, TikZ/LaTeX, transition tables as CSV or Markdown, - language samples, transition coverage, batch results, workspace JSON. -* **Code:** JavaScript, Python, Java, C, XState and SCXML, in table, switch or class - styles — plus Jest and pytest suites. -* **Share links:** The whole workspace compressed into a URL. Nothing reaches a +The grammar workbench has 25 tools for inspecting, normalising, parsing, deciding and +converting grammars. They include FIRST/FOLLOW, Chomsky classification, CNF and GNF, +removal of ε, unit, useless and left-recursive rules, left factoring, CYK, parse trees, +derivations, ambiguity witnesses, LL(1) tables, and conversion to and from the canvas. + +![The CYK table filled span by span](docs/media/grammar.png) + +### Import, export and sharing +- **Import:** JFLAP `.jff` (including 6.1 blocks), XState, SCXML, and machine codes. +- **Diagrams:** PNG and SVG, with text converted to outlines. A PNG can embed the + workspace, so dropping it back on the canvas resumes editing. +- **Interchange:** Graphviz DOT, TikZ/LaTeX, CSV and Markdown transition tables, and + workspace JSON. +- **Code generation:** JavaScript, Python, Java, C, XState and SCXML, with Jest and + pytest suites. +- **Share links:** the whole workspace is compressed into a URL and never sent to a server. +- **Exercises:** sealed reference solutions with exact or bounded grading, for teaching. + +### StateMate (optional AI assistant) +StateMate builds and edits machines from a prompt and answers questions about the one +on screen. It works with Anthropic, OpenAI, Mistral AI, Google AI Studio, Cohere, +OpenRouter, or any OpenAI-compatible local server. You supply your own key, and it is +never written to a saved file. Every candidate machine is run on the real simulator +before you see it, and you choose whether StateMate asks, proposes or applies changes +automatically. + +## Algorithms and theory + +The app has 34 interactive constructions from the standard textbooks (Hopcroft & +Ullman, Sipser), and each one can be stepped through: + +- **Conversions:** subset construction, ε-NFA → NFA, regex ↔ NFA, DFA ↔ regular + grammar, TM → grammar, Moore ↔ Mealy +- **Analysis:** minimisation (table-filling and visual), equivalence with a + distinguishing word, ε-closure, dead states, computation trees +- **Closure:** union, intersection, concatenation, star, complement, reversal, product +- **Decision procedures:** emptiness, finiteness, universality +- **A universal Turing machine** visualiser -### Saving -A workspace is a `.automaton` file. `.json` is accepted on import forever. PNG -export can additionally embed the workspace in the image: drop that image back onto -the canvas to resume editing. - -### StateMate -An optional AI assistant that builds and edits machines from a prompt, or answers -questions about the one on screen. It runs against Anthropic, OpenAI, Mistral AI, -Google AI Studio, Cohere, OpenRouter, or any OpenAI-compatible local server; you -supply your own key, which is kept out of every save format. Write authority is -yours to set — ask, propose, or auto — and every candidate is executed against the -real simulator before it is offered. The canvas is written exactly once, at the end, -or not at all. - -## Algorithms & Theory - -34 interactive constructions from the standard textbooks (Hopcroft–Ullman, Sipser), -each one steppable: - -* **Conversions:** NFA → DFA subset construction, ε-NFA → NFA, regex → NFA, NFA → - regex, DFA ↔ regular grammar, TM → grammar, Moore ↔ Mealy. -* **Analysis:** DFA minimization (table-filling and visual), equivalence with a - distinguishing string, ε-closure, dead states, computation trees. -* **Closure constructions:** union, intersection, concatenation, star, complement, - reversal, product. -* **Decision procedures:** emptiness, finiteness, universality. -* **Tables:** transition, Moore, Mealy, multi-tape. -* **A universal Turing machine** visualizer. - -![NFA to DFA subset construction, with the result table and numbered steps](docs/media/algorithms.png) - -Subset construction on an NFA that searches for the keywords *cat*, *car* and *cab*. -Each DFA state is a set of NFA states, and the algorithm is shown as a table plus the -numbered steps that built it — including the reads that go nowhere and collapse to the -dead state. `Load Result into Canvas` puts the constructed DFA on the canvas as an -ordinary machine you can then edit, run or export. - -A built-in reference explains every machine in the picker and carries a Decidability -section — decidable vs. recognizable, the decidable questions for finite automata -and CFLs, diagonalization, reductions, Rice's theorem, and a map of what is decidable -where. - -![The reference page for a DFA, with its formal definition](docs/media/reference.png) - -The built-in reference. One page per machine the app can build, each with what the -model is, its formal definition, and what it can and cannot recognise; the rail lists -them in the same groups the model picker uses. The pages are generated from the same -registry the picker reads, and a test fails if a machine the picker offers has no -guide — so a machine added to the app cannot quietly go undocumented. +![NFA to DFA subset construction](docs/media/algorithms.png) + +A built-in **reference** has a page for every machine type, covering its formal +definition and what it can and cannot recognise. It also has sections on decidability +(Rice's theorem, reductions, diagonalisation) and on language classes. + +![The reference page for a DFA](docs/media/reference.png) ## Command line -`automata` is the same engine in a terminal: run, test, trace and animate machines, -compare and convert them, grade a class, learn a DFA from examples, and prove -whether Turing machines halt. + +`automata` runs the same engine from a terminal. You can use it to run, test, trace and +animate machines, compare and convert them, grade a class, learn a DFA from examples, +serve machines over MCP, and prove whether Turing machines halt. ```sh automata run machine.automaton 0110 101 # ✔ accept / ✘ reject / ? unknown -automata play machine.automaton 0110 --history # an animated run: space pauses, arrows step +automata play machine.automaton 0110 --history # animated run in the terminal automata from-regex "(a|b)*abb" | automata minimize - | automata codegen - --lang py automata grade exercise.automaton submissions/ --csv grades.csv automata halts machines.txt --proof proofs/ # halting proofs, checkable with check-proof ``` -It ships inside the desktop app (put `resources/cli` on your `PATH`), or from a -checkout with `npm install && npm link`. Start with `automata --help` and -`automata help machines`; the [guide](docs/cli.md) walks through it by task, and -the [command reference](docs/cli-reference.md) lists every option. - -## Desktop app -The Windows and Linux AppImage builds update themselves: they check on startup and -on demand from **⋯ → Check for Updates**. If a check fails it shows a code — -[what the update error codes mean](docs/update-error-codes.md). macOS builds are not -self-updating. - -## Known Issues / Roadmap -- Regular expression derivation is refused past 120 states: state - elimination is cubic in |Q|, so the Language panel asserts the class rather than - deriving an expression on large machines. -- An exported SVG inlines the whole application stylesheet, which dominates the file - size. Narrowing that scrape to the canvas rules is the largest size win available. -- Pushdown automata accept by final state only. A JFLAP file that accepts by - empty stack is imported as final-state acceptance and flagged, since it may - decide a different language. +It also reads and writes HOA, BA, Timbuk and JFLAP. To install it, add the desktop +app's `resources/cli` directory to your `PATH`, or run `npm install && npm link` from a +checkout. Read the [CLI guide](docs/cli.md) for task-by-task instructions, or the +[command reference](docs/cli-reference.md) for every option. + +## Development + +```bash +npm run dev # Vite dev server +npm test # node:test suite (tests/*.test.js) +npm run build # production web build -> dist/ +npm run electron:dev # the desktop shell against the dev server +npm run electron:build # installers -> release/ +npm run cli -- --help # the CLI, from source +npm run bench # engine and renderer timings vs. bench/baseline.json +``` + +The code is organised as follows: + +``` +js/ the app: plain ES modules, SVG rendering, Solid signals for derived panels +js/machines/ one module per machine family, behind a registry (DOM-free) +js/grammar/ the grammar workbench +cli/ the `automata` command line +electron/ the desktop shell +wasm/ the label-placement kernel (AssemblyScript) +tests/ node:test, with a DOM stub +docs/ user documentation and media +``` + +[CLAUDE.md](CLAUDE.md) holds the architecture notes: the module layout, the change +notification store, the renderer, and how to add a machine type (one row in +`MachineTypes` and one `defineMachine` call). + +## Known issues + +- Regular-expression derivation stops at 120 states. State elimination is cubic, so + larger machines show the language class instead of an expression. +- An exported SVG inlines the whole application stylesheet, which makes the file larger + than it needs to be. +- Pushdown automata accept by final state only. A JFLAP file that accepts by empty + stack is imported as final-state acceptance and flagged. + +Bug reports and feature requests go to the +[issue tracker](https://github.com/thethinkmachine/AutomataStudio/issues). If the +desktop updater reports an error, the code is explained in +[docs/update-error-codes.md](docs/update-error-codes.md). ## Contributing -Pull requests are welcome. Commits must be signed off (`git commit -s`) — see -[CONTRIBUTING.md](CONTRIBUTING.md), which explains the one legal formality and why -the project's licensing commitments depend on it. + +Pull requests are welcome. Commits must be signed off (`git commit -s`). +[CONTRIBUTING.md](CONTRIBUTING.md) explains why the licence requires it. To contribute +machines, submit them to the +[machine library](https://github.com/thethinkmachine/automata-library), either from +the app's Library view or through the library's issue form. + +## Citation + +If you use AutomataStudio in your research, teaching materials or a publication, +please cite it. GitHub's **"Cite this repository"** button (from +[CITATION.cff](CITATION.cff)) produces APA and BibTeX, or you can copy these: + +```bibtex +@software{chaubey_automatastudio_2026, + author = {Chaubey, Shreyan}, + title = {{AutomataStudio}: An {IDE} for Designing, Simulating and Analysing Automata}, + year = {2026}, + version = {2.9.0}, + url = {https://github.com/thethinkmachine/AutomataStudio}, + note = {Software} +} +``` + +> Chaubey, S. (2026). *AutomataStudio: An IDE for designing, simulating and analysing +> automata* (Version 2.9.0) [Computer software]. +> https://github.com/thethinkmachine/AutomataStudio + +Cite the version you actually used, so that others can reproduce your results. If you +have a paper, course or project that uses AutomataStudio, please open an issue to let +me know. ## License -**[PolyForm Noncommercial License 1.0.0](LICENSE)**, with a supplemental grant that -converts each release to **AGPL-3.0-or-later** four years after it is published. -Releases published before the license change remain available under CC BY-NC-SA 4.0 -([LICENSE-PRIOR-VERSIONS.txt](LICENSE-PRIOR-VERSIONS.txt)); that grant is irrevocable -and is not withdrawn by the change. \ No newline at end of file +AutomataStudio is released under the +**[PolyForm Noncommercial License 1.0.0](LICENSE)**. Under a supplemental grant, each +release converts to **AGPL-3.0-or-later** four years after it is published. Academic +research, teaching and personal use are noncommercial uses under the licence. See +[NOTICE](NOTICE) for the required notice. + +Releases published before the licence change remain available under CC BY-NC-SA 4.0 +([LICENSE-PRIOR-VERSIONS.txt](LICENSE-PRIOR-VERSIONS.txt)). That grant is irrevocable. + +© 2026 Shreyan Chaubey From c4add3ebd7a7510e79d42d84008e09d46862b247 Mon Sep 17 00:00:00 2001 From: Claude Date: Thu, 1 Oct 2026 04:27:40 +0000 Subject: [PATCH 2/2] docs: add animated walkthroughs to the README Six animated WebP clips, recorded from the running app in the light theme: the Machine Wizard, building blocks (group, drill in, run), the space-time diagram of the BB(2,4) champion run to its halt, the grammar workbench (CYK and an ambiguity witness), StateMate building a PDA through the agent bridge, and the CLI's halts / check-proof. Co-Authored-By: Claude Opus 5.5 Claude-Session: https://claude.ai/code/session_017YKJF9uBDjB19vfGA1XE2k --- README.md | 51 +++++++++++++++++++++++++++++++++++--- docs/media/blocks.webp | Bin 0 -> 3729614 bytes docs/media/cli.webp | Bin 0 -> 114654 bytes docs/media/grammar.webp | Bin 0 -> 617370 bytes docs/media/spacetime.webp | Bin 0 -> 2305944 bytes docs/media/statemate.webp | Bin 0 -> 1505646 bytes docs/media/wizard.webp | Bin 0 -> 1429688 bytes 7 files changed, 48 insertions(+), 3 deletions(-) create mode 100644 docs/media/blocks.webp create mode 100644 docs/media/cli.webp create mode 100644 docs/media/grammar.webp create mode 100644 docs/media/spacetime.webp create mode 100644 docs/media/statemate.webp create mode 100644 docs/media/wizard.webp diff --git a/README.md b/README.md index e299082..558f997 100644 --- a/README.md +++ b/README.md @@ -106,6 +106,20 @@ word `u(v)`. A multi-tape Turing machine can have any number of tapes. - **Workspaces and themes.** Edit in multiple tabs, choose from 19 light and dark themes, and use the mobile layout on small screens. +![The Machine Wizard building a DFA for an even number of 1s, then running a test word](docs/media/wizard.webp) + +**Machine Wizard.** Pick a model, name the alphabet, list the states, fill in the +transitions from dropdowns, and add a test word. The machine is drawn in one step (one +Ctrl+Z undoes it), and the test word becomes a chip on the info card that runs with one +click — here `1001`, accepted. + +![Grouping states of a binary-addition Turing machine into two blocks, drilling into one, and running the machine](docs/media/blocks.webp) + +**Building blocks.** Two pairs of states in a binary-addition Turing machine are +grouped into *decrement b* and *increment a*. Double-clicking a block opens it, with +tabs showing where edges enter and leave; the breadcrumb leads back out. During the run +on `101+11` the block that is executing lights up, down to the state inside it. + ### Running - **Step-by-step simulation** with a scrubber, a trace log in plain sentences, and a tape view that shows each model's tape boundaries. @@ -114,13 +128,23 @@ word `u(v)`. A multi-tape Turing machine can have any number of tapes. halt, or proved never to halt, beyond what a step budget can tell you. - **Language panel** shows the derived regular expression, the language class and an acceptance fingerprint. +- **Space-time diagrams** draw a whole tape run, one row per step, with an overview of + the run beside them. Runs of millions of steps stay responsive. ![Stepping the word 1100100 through the DFA](docs/media/simulate.gif) A four-tape Turing machine's tape tracker during a run -Left: the divisibility DFA accepting `1100100` (100 in binary). Right: a four-tape ALU -computing 11 + 6 = 17, with each tape drawn as its model defines it. +Top: the divisibility DFA accepting `1100100` (100 in binary). Bottom: a four-tape +ALU computing 11 + 6 = 17, with each tape drawn as its model defines it. + +![The space-time diagram of the BB(2,4) champion, computed to its halt after 3,932,964 steps](docs/media/spacetime.webp) + +**Space-time diagram** of the BB(2,4) busy beaver champion +(`1RB2LA1RA1RA_1LB1LA3RB1RZ`), the two-state, four-symbol machine that runs longest +before halting. It plays a few dozen steps cell by cell, then *Compute the rest* runs +all 3,932,964 steps in about five seconds. The widened overview shows the whole run, +and *Jump to end* lands on the halt: 2,050 non-blank cells. ### Grammars The grammar workbench has 25 tools for inspecting, normalising, parsing, deciding and @@ -128,7 +152,12 @@ converting grammars. They include FIRST/FOLLOW, Chomsky classification, CNF and removal of ε, unit, useless and left-recursive rules, left factoring, CYK, parse trees, derivations, ambiguity witnesses, LL(1) tables, and conversion to and from the canvas. -![The CYK table filled span by span](docs/media/grammar.png) +![Typing a grammar, filling a CYK table step by step, and finding an ambiguity witness](docs/media/grammar.webp) + +The grammar is checked as you type it. CYK fills its table one span at a time on +`aabb` (using the Chomsky normal form it converted to, which is shown below the table). +*Check ambiguity* then finds two different parse trees for `ababab`, which proves the +grammar is ambiguous. ### Import, export and sharing - **Import:** JFLAP `.jff` (including 6.1 blocks), XState, SCXML, and machine codes. @@ -150,6 +179,14 @@ never written to a saved file. Every candidate machine is run on the real simula before you see it, and you choose whether StateMate asks, proposes or applies changes automatically. +![StateMate building a pushdown automaton for balanced brackets from a one-line prompt](docs/media/statemate.webp) + +One prompt, *a pushdown automaton that accepts balanced strings of ( ) and [ ]*. The +proposal arrives as a diff with its test words already run (5/5 checks). Apply draws +it, and `([])` is accepted. Recorded through the repository's agent bridge +([tools/agent-bridge](tools/agent-bridge/statemate-bridge.mjs)), so the answer goes +through the same parse, lint and verify steps as one from any provider. + ## Algorithms and theory The app has 34 interactive constructions from the standard textbooks (Hopcroft & @@ -185,6 +222,14 @@ automata grade exercise.automaton submissions/ --csv grades.csv automata halts machines.txt --proof proofs/ # halting proofs, checkable with check-proof ``` +![automata halts classifying nine Turing machines with seven different methods, then check-proof verifying the proofs](docs/media/cli.webp) + +`automata halts` on nine machines: the BB(2), BB(2,4) and BB(5) champions halt +(BB(5) after 47,176,870 steps), five machines are proved never to halt by five different +methods, and the last, Antihydra, is reported as unknown: whether it halts is an open +problem. `check-proof` then +re-checks every proof file with code that shares nothing with the provers. + It also reads and writes HOA, BA, Timbuk and JFLAP. To install it, add the desktop app's `resources/cli` directory to your `PATH`, or run `npm install && npm link` from a checkout. 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