A curated list of awesome Coq frameworks, libraries and software.
- AbsInt/CompCert - The CompCert formally-verified C compiler
- HoTT/Coq-HoTT - A Coq library for Homotopy Type Theory
- UniMath/UniMath - This coq library aims to formalize a substantial body of mathematics using the univalent point of view.
- magmide/magmide - A dependently-typed proof language intended to make provably correct bare metal code possible for working software engineers.
- jwiegley/category-theory - An axiom-free formalization of category theory in Coq for personal study and practical work
- uwplse/verdi - A framework for formally verifying distributed systems implementations in Coq
- math-comp/math-comp - Mathematical Components
- coq-community/coq-tricks - Tricks you wish the Coq manual told you [maintainer=@tchajed]
- PrincetonUniversity/VST - Verified Software Toolchain
- formal-land/coq-of-rust - Formal verification tool for Rust: check 100% of execution cases of your programs 🦀 to make applications with no bugs!
✈️ 🚀 ⚕️ 🏦 - MetaCoq/metacoq - Metaprogramming, verified meta-theory and implementation of Coq in Coq
- princeton-vl/CoqGym - A Learning Environment for Theorem Proving with the Coq proof assistant
- stepchowfun/proofs - My personal repository of formally verified mathematics.
- antalsz/hs-to-coq - Convert Haskell source code to Coq source code
- jasmin-lang/jasmin - Language for high-assurance and high-speed cryptography
- QuickChick/QuickChick - Randomized Property-Based Testing Plugin for Coq
- UniMath/Foundations - Voevodsky's original development of the univalent foundations of mathematics in Coq
- mit-pdos/fscq - FSCQ is a certified file system written and proven in Coq
- mattam82/Coq-Equations - A function definition package for Coq
- math-comp/analysis - Mathematical Components compliant Analysis Library
- DeepSpec/InteractionTrees - A Library for Representing Recursive and Impure Programs in Coq
- sifive/Kami - Kami - a DSL for designing Hardware in Coq, and the associated semantics and theorems for proving its correctness. Kami is inspired by Bluespec. It is actually a complete rewrite of an older version from MIT
- jscert/jscert - A Coq specification of ECMAScript 5 (JavaScript) with verified reference interpreter
- GeoCoq/GeoCoq - A formalization of geometry in Coq based on Tarski's axiom system
- uwplse/verdi-raft - An implementation of the Raft distributed consensus protocol, verified in Coq using the Verdi framework
- coq-community/fourcolor - Formal proof of the Four Color Theorem [maintainer=@ybertot]
- clarus/coq-chick-blog - 🐣 A blog engine written and proven in Coq
- jwiegley/coq-haskell - A library for formalizing Haskell types and functions in Coq
- mit-pdos/perennial - Verifying concurrent crash-safe systems
- coq-community/math-classes - A library of abstract interfaces for mathematical structures in Coq [maintainer=@spitters,@Lysxia]
- ilyasergey/pnp - Lecture notes for a short course on proving/programming in Coq via SSReflect.
- barry-jay-personal/tree-calculus - Proofs in Coq for the book Reflective Programs in Tree Calculus
- mit-plv/koika - A core language for rule-based hardware design 🦑
- mit-plv/kami - A Platform for High-Level Parametric Hardware Specification and its Modular Verification
- discus-lang/iron - Coq formalizations of functional languages.
- Lysxia/advent-of-coq-2018 - Advent of Code 2018, in Coq! (https://adventofcode.com/2018)
- CertiCoq/certicoq - A Verified Compiler for Gallina, Written in Gallina
- coq-community/coq-ext-lib - A library of Coq definitions, theorems, and tactics. [maintainers=@gmalecha,@liyishuai]
- rocq-archive/coq-serapi - Coq Protocol Playground with Se(xp)rialization of Internal Structures.
- project-oak/silveroak - Formal specification and verification of hardware, especially for security and privacy.
- verse-lab/ceramist - Verified hash-based AMQ structures in Coq
- AU-COBRA/ConCert - A framework for smart contract verification in Coq
- coq-community/coq-art - Coq code and exercises from the Coq'Art book [maintainers=@ybertot,@Casteran]
- coq-community/corn - Coq Repository at Nijmegen [maintainers=@spitters,@VincentSe,@Lysxia]
- verse-lab/toychain - A minimalistic blockchain consensus implemented and verified in Coq
- uds-psl/coq-library-undecidability - A library of mechanised undecidability proofs in the Coq proof assistant.
- mit-plv/riscv-coq - RISC-V Specification in Coq
- Ptival/PeaCoq - PeaCoq is a pretty Coq, isn't it?
- WasmCert/WasmCert-Coq - A mechanisation of Wasm in Coq
- sec-bit/tokenlibs-with-proofs - Correctness proofs of Ethereum token contracts
- DistributedComponents/disel - Distributed Separation Logic: a framework for compositional verification of distributed protocols and their implementations in Coq
- amintimany/Categories - A formalization of category theory in the Coq proof assistant.
- clarus/falso - A proof of false in Coq.
- ymherklotz/vericert - A formally verified high-level synthesis tool based on CompCert and written in Coq.
- coq-community/coq-dpdgraph - Build dependency graphs between Coq objects [maintainers=@Karmaki,@ybertot]
- coq-concurrency/pluto - A web server written in Coq.
- inQWIRE/SQIR - A Small Quantum Intermediate Representation
- plclub/hs-to-coq - Convert Haskell source code to Coq source code.
- pi8027/lambda-calculus - A Formalization of Typed and Untyped λ-Calculi in Coq and Agda2
- ml4tp/gamepad - A Learning Environment for Theorem Proving
- bluerock-io/BRiCk - Formalization of C++ for verification purposes.
- affeldt-aist/monae - Monadic effects and equational reasonig in Coq
- imdea-software/htt - Hoare Type Theory
- coq-community/hydra-battles - Variations on Kirby & Paris' hydra battles and other entertaining math in Coq (collaborative, documented, includes exercises) [maintainer=@Casteran]
- coq-community/coqeal - The Coq Effective Algebra Library [maintainers=@CohenCyril,@proux01]
- rocq-archive/coq-in-coq - A formalisation of the Calculus of Constructions
- affeldt-aist/infotheo - A Coq formalization of information theory and linear error-correcting codes
- xavierleroy/cdf-mech-sem - Coq development for the course "Mechanized semantics", Collège de France, 2019-2020
- coq-io/io - A library for effects in Coq.
- INRIA/velus - A Lustre compiler in Coq
- choukh/Set-Theory - A formalization of the textbook Elements of Set Theory
- SSProve/ssprove - A foundational framework for modular cryptographic proofs in Coq
- sigurdschneider/lvc - LVC verified compiler
- mit-plv/bedrock - Coq library for verified low-level programming
- philzook58/nand2coq - Build an educational formally verified version of the Nand 2 Tetris course using Coq (and other formal tools).
- geohot/coq-hardy - Formalizing the Theorems from Hardy's "An Introduction to the Theory of Numbers" in coq
- coq-community/autosubst - Automation for de Bruijn syntax and substitution in Coq [maintainers=@RalfJung,@co-dan]
- lthms/FreeSpec - A framework for implementing and certifying impure computations in Coq
- mit-plv/rupicola - Gallina to Bedrock2 compilation toolkit
- MichaelBurge/pornview - Porn browser formally-verified in Coq
- jtassarotti/coq-proba - A Probability Theory Library for the Coq Theorem Prover
- anton-trunov/coq-lecture-notes - Coq Lecture Notes (WIP)
- uwplse/pumpkin-pi - An extension to PUMPKIN PATCH with support for proof repair across type equivalences.
- tchajed/iris-simp-lang - We define a simple programming language, simp_lang, then instantiate Iris to verify simple simp_lang programs with concurrent separation logic.
- cmeiklejohn/distributed-data-structures - Distributed Data Structures in Coq
- damien-pous/relation-algebra - Relation algebra library for Coq
- math-comp/finmap - Finite sets, finite maps, multisets and generic sets
- coq-community/topology - General topology in Coq [maintainers=@amiloradovsky,@Columbus240,@stop-cran]
- arthuraa/poleiro - A blog about Coq
- foreverbell/verified - Coq formalizations and proofs of (data) structures and algorithms.
- coq-community/semantics - A survey of semantics styles in Coq, from natural semantics through structural operational, axiomatic, and denotational semantics, to abstract interpretation [maintainer=@k4rtik]
- coq-community/paramcoq - Coq plugin for parametricity [maintainer=@proux01]
- coq-community/fav-ssr - Functional Algorithms Verified in SSReflect [maintainer=@clayrat]
- vrahli/NuprlInCoq - Implementation of Nuprl's type theory in Coq
- pirapira/evmverif - An EVM code verification framework in Coq
- dschepler/coq-sequent-calculus - Coq formalizations of Sequent Calculus, Natural Deduction, etc. systems for propositional logic
- choukh/Baby-Set-Theory - Coq集合论中文教程
- wouter-swierstra/xmonad - xmonad in Coq
- tchajed/ltac2-tutorial - Ltac2 tutorial
- tchajed/coq-record-update - Library to create Coq record update functions
- snu-sf/paco - A Coq library for parametric coinduction
- coq-community/dedekind-reals - A formalization of the Dedekind real numbers in Coq [maintainer=@andrejbauer]
- mit-plv/coqutil - Coq library for tactics, basic definitions, sets, maps
- coq-community/parseque - Total Parser Combinators in Coq [maintainer=@womeier]
- coq-community/reglang - Regular Language Representations in Coq [maintainers=@chdoc,@palmskog]
- xavierleroy/cdf-program-logics - Companion Coq development for Xavier Leroy's 2021 lectures on program logics
- meithecatte/busycoq - Busy Beaver deciders backed by Coq proof
- CertiCoq/VeriFFI - VeriFFI: Verified Foreign Function Interface for connecting Coq programs to C programs at the operational and specification/verification levels; part of CertiCoq project
- vlopezj/coq-course - Coq course at Chalmers CSE
- math-comp/Coq-Combi - Algebraic Combinatorics in Coq
- charguer/tlc - Library for Classical Coq
- thery/coqprime - Prime numbers for Coq
- takanuva/cps - A formalization of continuation-passing style calculi in Coq [WIP]
- gangtan/CPUmodels - GoNative project: formal machines models in Coq
- langston-barrett/coq-big-o - A general yet easy-to-use formalization of Big O, Big Theta, and more based on seminormed vector spaces.
- fblanqui/color - Coq library on rewriting theory and termination
- Lysxia/system-F - Formalization of the polymorphic lambda calculus and its parametricity theorem
- inQWIRE/QuantumLib - Coq library for reasoning about quantum programs
- coq-community/graph-theory - Graph Theory [maintainers=@chdoc,@damien-pous]
- snu-sf/promising-coq - The Coq development of A Promising Semantics for Relaxed-Memory Concurrency
- pedrotst/coquedille - A Coq to Cedille compiler written in Coq
- math-comp/algebra-tactics - Ring, field, lra, nra, and psatz tactics for Mathematical Components
- marshall-lee/software_foundations - My solutions to Software Foundations course in Coq proof assistant.
- logsem/aneris - Program logic for developing and verifying distributed systems
- impermeable/coq-waterproof - The Waterproof plugin for the Coq proof assistant allows you to write Coq proofs in a style that resembles handwritten mathematical proofs, designed to help university students with learning how to prove mathematical statements.
- EasyCrypt/certicrypt - CertiCrypt Coq Framework
- coq-community/chapar - A framework for verification of causal consistency for distributed key-value stores and their clients in Coq [maintainer=@palmskog]
- bmsherman/topology - Formal topology (and some probability) in Coq
- Lysxia/coq-simple-io - IO for Gallina
- codyroux/broad-coq-tutorial - Some unstructured notes concerning the Broad tutorial to take place in March 2020
- vafeiadis/hahn - Hahn: A Coq library
- pa-ba/calc-comp - Coq proofs for the paper "Calculating Correct Compilers"
- formal-land/coq-of-python - Translate Python code to Coq code for formal verification. Applied to the reference implementation of Ethereum in Python.
- coq-community/gaia - Implementation of books from Bourbaki's Elements of Mathematics in Coq [maintainer=@thery]
- coq-community/dblib - Coq library for working with de Bruijn indices [maintainer=@KevOrr]
- coq-community/coq-program-verification-template - Template project for program verification in Coq, showcasing reasoning on CompCert's Clight language using the Verified Software Toolchain [maintainer=@palmskog]
- math-comp/odd-order - The formal proof of the Odd Order Theorem
- arthuraa/extructures - Finite sets and maps for Coq with extensional equality
- vrahli/Velisarios - A Coq-based framework to verify the correctness of Byzantine fault-tolerant distributed systems
- tezos/tezoscoq - working with coq and tezos
- math-comp/Abel - A proof of Abel-Ruffini theorem.
- llee454/functional-algebra - This package provides a Coq formalization of abstract algebra using a functional programming style. The modules contained within the package span monoids, groups, rings, and fields and provides both axiom definitions for these structures and proofs of foundational results. The current package contains over 800 definitions and proofs.
- coq-community/goedel - Archived since the contents have been moved to the Hydras & Co. repository
- acorrenson/SATurne - Tiny verified SAT-solver
- imdea-software/fcsl-pcm - Partial Commutative Monoids
- VeriNum/vcfloat - VCFloat: A Unified Coq Framework for Verifying C Programs with Floating-Point Computations
- reynir/Brainfuck - Brainfuck formalized in Coq
- novifinancial/LibraChain - A library providing mechanized proofs of the LibraBFT consensus using the Coq theorem prover
- dboulytchev/miniKanren-coq - A certified semantics for relational programming workout.
- coq-ext-lib/coq-compile - A compiler for Coq
- coq-community/lemma-overloading - Libraries demonstrating design patterns for programming and proving with canonical structures in Coq [maintainer=@anton-trunov]
- affeldt-aist/coq-robot - Mathematics of Rigid Body Transformationss using Coq and MathComp
- rafaelcgs10/W-in-Coq - This is a Coq formalization of Damas-Milner type system and its algorithm W.
- math-comp/mczify - Micromega tactics for Mathematical Components
- coq-community/alea - Coq library for reasoning on randomized algorithms [maintainers=@anton-trunov,@volodeyka]
- AU-COBRA/PoS-NSB - A formalization of a Proof-of-Stake Nakamoto-style blockchain in Coq
- Zilliqa/scilla-coq - State-Transition Systems for Smart Contracts
- thery/hanoi - Hanoi tower in Coq
- sweirich/graded-haskell - Graded Dependent Type systems
- lastland/ClairvoyanceMonad - The Coq formalization of the paper Reasoning about the garden of forking paths.
- formal-land/coq-bonsai - 🌳 Generate a fresh bonsai in your terminal
- arthuraa/deriving - Class instances for Coq inductive types with little boilerplate
- uwplse/cheerios - Formally verified Coq serialization library with support for extraction to OCaml
- rocq-archive/zfc - An encoding of Zermelo-Fraenkel Set Theory in Coq
- dunnl/tealeaves - A Coq library for abstract syntactical reasoning
- coq-io/system - Library of Unix effects for Coq.
- coq-community/atbr - Coq library and tactic for deciding Kleene algebras [maintainer=@tchajed]
- weakmemory/imm - Intermediate Memory Model (IMM) and compilation correctness proofs for it
- thery/T2048 - a version of the 2048 game for Coq
- sifive/ProcKami - Kami based processor implementations and specifications
- pi8027/stablesort - Stable sort algorithms and their stability proofs in Coq
- huynhtrankhanh/CoqCP - We combat sloppy arguments in competitive programming and raise the standard of rigor
- Coq-Polyhedra/Coq-Polyhedra - Formalizing convex polyhedra in Coq
- coq-community/bits - A formalization of bitset operations in Coq and the corresponding axiomatization and extraction to OCaml native integers [maintainer=@anton-trunov]
- coq-community/bignums - Coq library of arbitrarily large numbers, providing BigN, BigZ, BigQ that used to be part of the standard library [maintainers=@proux01,@erikmd]
- bobatkey/system-f-parametricity-model - A Model of Relationally Parametric System F in Coq
- Yosuke-Ito-345/Actuary - Formalization of the basic actuarial mathematics using Coq
- xavierleroy/cdf-sem-meca - Développement Coq pour le cours "Sémantiques mécanisées", Collège de France, 2019-2020
- uwplse/StructTact - Coq utility and tactic library.
- mgrabovsky/fm-notes - Unassorted scribbles on formal methods, type theory, category theory, and so on, and so on
- kai-qu/linear-logic - An encoding of linear logic in Coq with minimal Sokoban and blocks world examples
- Huxpro/WasmCert - A (in-development) Coq mechanization of WebAssembly specification.
- coq/platform-docs - A project of short tutorials and how-to guides for Coq features and Coq Platform packages.
- coq-community/coqoban - Sokoban (in Coq) [maintainer=@erikmd]
- mmcco/verified-parser-example - A minimal example of a formally verified parser using ocamllex and Menhir's Coq backend.
- Matafou/LibHyps - A Coq library providing tactics to deal with hypothesis
- jwiegley/coq-lattice - A reflection-based proof tactic for lattices in Coq
- CoqHott/logrel-coq - Logical Relation for MLTT in Coq
- coq-community/sudoku - A certified Sudoku solver in Coq [maintainers=@siraben,@thery]
- coq-community/HighSchoolGeometry - Geometry in Coq for French high school [maintainer=@thery]
- CertiKOS/coqrel - Binary logical relations library for the Coq proof assistant
- LPCIC/coq-elpi - Coq plugin embedding elpi
- bedrocksystems/BRiCk - Formalization of C++ for verification purposes.
- ejgallego/coq-serapi - Coq Protocol Playground with Se(xp)rialization of Internal Structures.
- coq-contribs/coq-in-coq - A formalisation of the Calculus of Constructions
- coq-contribs/zfc - An encoding of Zermelo-Fraenkel Set Theory in Coq
- tchajed/coq-tricks - Tricks you wish the Coq manual told you
- andrejbauer/dedekind-reals - A formalization of the Dedekind reals in Coq
- vellvm/vellvm - The Vellvm (Verified LLVM) coq development.
- gallais/parseque - Total Parser Combinators in Coq
- palmskog/coq-program-verification-template - Template project for program verification in Coq
- Blaisorblade/dot-iris - Scala Step-by-Step: Soundness for DOT with Step-Indexed Logical Relations in Iris — Coq Formalization
- LogicalAtomist/principia - The Principia Rewrite
- certichain/toychain - A minimalistic blockchain consensus implemented and verified in Coq
- coq-community/coq-100-theorems - Statements of famous theorems proven in Coq [maintainer=@jmadiot]
- smtcoq/smtcoq - Communication between Coq and SAT/SMT solvers
- smorimoto/coq-to-ocaml-to-js - Proof of concept to generate safe and fast JavaScript
- certichain/ceramist - Verified hash-based AMQ structures in Coq
- math-comp/fourcolor - Formal proof of the Four Color Theorem
- foobar-land/coq-bonsai - 🌳 Generate a fresh bonsai in your terminal
- bedrocksystems/cpp2v - Formalization of C++ for verification purposes.
- hivert/Coq-Combi - Algebraic Combinatorics in Coq
- Karmaki/coq-dpdgraph - Build dependency graphs between COQ objects
- CoqEAL/CoqEAL - CoqEAL -- The Coq Effective Algebra Library
- heades/System-F-Coq - System F in coq.
- math-comp/hierarchy-builder - High level commands to declare a hierarchy based on packed classes
- project-oak/oak-hardware - Formal specification and verification of hardware, especially for security and privacy.
- coq-community/coq100 - Statements of famous theorems proven in Coq [maintainer=@jmadiot]
- ANSSI-FR/FreeSpec - A framework for implementing and certifying impure computations in Coq
- uds-psl/autosubst - Automation for de Bruijn syntax and substitution in Coq
- uwplse/ornamental-search - DEVOID: Ornaments for Proof Reuse in Coq
- coq-ext-lib/coq-ext-lib - A library of Coq definitions, theorems, and tactics.
- siddharthist/coq-big-o - A general yet easy-to-use formalization of Big O, Big Theta, and more based on seminormed vector spaces.
- hazelgrove/hazel - Hazel, a live functional programming environment with typed holes
- Template-Coq/template-coq - Reflection library for Coq
- math-classes/math-classes - A library of abstract interfaces for mathematical structures in Coq.
- c-corn/corn - Coq Repository at Nijmegen
- stepchowfun/coq-fun - A selection of Coq developments.
- uwdb/Cosette - Cosette is an automated SQL solver powered by Coq and Rosette.
- DDCSF/iron - Coq formalizations of functional languages.
- vladimirias/Foundations - Development of the univalent foundations of mathematics in Coq
- aspiwack/cosa - Coq-verified Shape Analysis
- Ptival/HaysTac - A pile of Ltac tactics that might contain the needle you're looking for. Oriented around nameless tactics programming.
- EugeneLoy/coq_jupyter - Jupyter Notebook kernel for Coq