proof-assistant

There are 29 repositories under proof-assistant topic.

• coq / coq

  Coq is a formal proof management system. It provides a formal language to write mathematical definitions, executable algorithms and theorems together with an environment for semi-interactive development of machine-checked proofs.

  coqdependent-typesproof-assistanttheorem-proving
  Language:OCaml 4632

• FStarLang / FStar

  A Proof-oriented Programming Language

  programming-languageverificationdependent-typessmttheorem-provingproof-assistantocamlf-sharpc-languagefstar
  Language:F* 2575

• agda / agda

  Agda is a dependently typed programming language / interactive theorem prover.

  agdadependent-typesprogramming-languageproof-assistanttype-theory
  Language:Haskell 2386

• plfa / plfa.github.io

  An introduction to programming language theory in Agda

  bookproof-assistantprogramming-languages
  Language:Agda 1320

• jscoq / jscoq

  A port of Coq to Javascript -- Run Coq in your Browser

  coqproof-assistantjavascriptintegrated-development-environment
  Language:TypeScript 503

• ProofGeneral / PG

  This repo is the new home of Proof General

  proof-generalemacsintegrated-development-environmentproof-assistantcoqdocker-coq-action
  Language:Emacs Lisp 478

• PrincetonUniversity / VST

  Verified Software Toolchain

  coqcoq-vstcompcertccoq-libraryverificationproofproof-assistantformal-methodsformal-verificationformal-specification
  Language:Coq 418

• johnyf / tool_lists

  Links to tools by subject

  toolsverificationsynthesisstatic-analysisbinary-decision-diagramsmodel-checkingtheorem-provingproof-assistantsatisfiability-solversatisfiability-modulo-theoriessmtlibformal-methodstheorem-prover
  360

• cpitclaudel / company-coq

  A Coq IDE build on top of Proof General's Coq mode

  company-modecoqemacsintegrated-development-environmentproof-assistantproof-general
  Language:Emacs Lisp 348

• epfl-lara / stainless

  Verification framework and tool for higher-order Scala programs

  verificationscalaformal-methodssmtinoxz3cvc4cvc5model-checkingproof-assistant
  Language:HTML 346

• stepchowfun / proofs

  My personal repository of formally verified mathematics.

  coqproof-assistantformal-verificationtype-theoryinteractive-theorem-proving
  Language:Coq 286

• Deducteam / lambdapi

  Proof assistant based on the λΠ-calculus modulo rewriting

  proof-checkerproof-assistantrewritingdependent-typeslogical-frameworkproof-translator
  Language:OCaml 262

• whonore / Coqtail

  Interactive Coq Proofs in Vim

  coqvimproof-assistant
  Language:Python 253

• latte-central / LaTTe

  LaTTe : a Laboratory for Type Theory experiments (in clojure)

  clojureproof-assistantlogicmathematics
  Language:Clojure 252

• aya-prover / aya-dev

  ~ Youkai (∞, 1)-Mountain

  ayaproof-assistantdependent-types
  Language:Java 242

• RedPRL / sml-redprl

  The People's Refinement Logic

  nuprlproof-assistanttype-theorycubical-type-theory
  Language:Standard ML 227

• RedPRL / cooltt

  😎TT

  cubical-type-theoryproof-assistanttype-theoryhomotopy-type-theoryocamlocaml-program
  Language:OCaml 211

• RedPRL / redtt

  "Between the darkness and the dawn, a red cube rises!": a proof assistant for cartesian cubical type theory

  cubical-type-theoryocamlproof-assistanttype-theory
  Language:OCaml 203

• rzk-lang / rzk

  An experimental proof assistant based on a type theory for synthetic ∞-categories.

  category-theoryhomotopy-type-theoryproof-assistanthaskell
  Language:Haskell 188

• ditto / ditto

  A Super Kawaii Dependently Typed Programming Language

  dependent-typesprogramming-languageproof-assistanttype-theory
  Language:Haskell 171

• mit-plv / kami

  A Platform for High-Level Parametric Hardware Specification and its Modular Verification

  coqhardware-verificationbluespecproof-assistanthardware-description-language
  Language:Coq 139

• ejgallego / coq-serapi

  Coq Protocol Playground with Se(xp)rialization of Internal Structures.

  coqserializationjsonsexpproof-assistantprotocolmachine-learning-api
  Language:OCaml 123
• LSTS

  andrew-johnson-4 / LSTS

  Large Scale Type Systems (programming language)

  asttype-checkingtheorem-proverrustcategory-theoryerror-reportinglexerlintparserlambda-calculuslambda-calculus-interpreterassisted-reasoningproof-assistantdependent-typesrefinement-typescompilerlanguagelsts
  Language:Rust 99

• amintimany / Categories

  A formalization of category theory in the Coq proof assistant.

  category-theorycategoriescoqcoq-formalizationproof-assistantlibraryadjunctionskan-extensionstopos
  Language:Coq 92

• EugeneLoy / coq_jupyter

  Jupyter kernel for Coq

  coqjupyterkerneljupyter-kernelsjupyter-notebookjupyter-extensionproof-assistanttheorem-provingdependent-typespython-pa
  Language:Python 89

• homotopy-io / homotopy-rs

  A Rust/WASM implementation of homotopy.io

  category-theorydiagramdiagramshigher-category-theorymathmathematicsmathsproof-assistantproof-assistantsruststring-diagramstring-diagrams
  Language:Rust 72

• data61 / PSL

  proofpslisabelleproof-strategiesconjectureholmachine-learningartificial-intelligenceitpinteractive-theorem-provingdomain-specific-languageinductionproof-assistantformal-proofsformal-verificationformal-methodsproof-search
  Language:Isabelle 63

• AthenaFoundation / athena

  Athena is a modern, practical language for proof engineering & natural deduction.

  formal-verificationlogicproof-assistanttheorem-provingnatural-deductionfunctional-programmingproof-language
  Language:Standard ML 61

• molikto / mlang

  Towards changing things and see if it proofs

  cubical-type-theorydependent-typesproof-assistanttype-theory
  Language:Scala 60

• owo-lang / OwO

  Placeholder for the OwO compiler

  programming-languagecompilerproof-assistantdependent-types
  Language:Rust 59

• RyanMarcus / vulcan

  A JavaScript propositional logic and resolution library

  javascriptproofproof-assistantlogic
  Language:JavaScript 58

• nunchaku-inria / nunchaku

  Model finder for higher-order logic

  model-findingsatcvc4higher-orderlogicproof-assistantisabellehol
  Language:OCaml 41

• wenkokke / AutoInAgda

  Proof automation – for Agda, in Agda.

  paperproof-automationproof-assistantno-longer-maintainedagda
  Language:Agda 38

• ivanbakel / hout-prover

  A non-interactive proof assistant using the Haskell type system

  proof-assistantcurry-howard-isomorphismmonad
  Language:Haskell 34

• konn / type-natural

  Type-level well-kinded natural numbers.

  haskelltype-leveldependent-typesproof-assistantghctype-level-programming
  Language:Haskell 33

• TOTBWF / muprl

  A small NuPRL style proof assistant

  proof-assistantnuprlcomputational-type-theory
  Language:Haskell 32