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
• tchajed/coq-tricks - Tricks you wish the Coq manual told you
• PrincetonUniversity/VST - Verified Software Toolchain
• vellvm/vellvm - The Vellvm (Verified LLVM) coq development.
• princeton-vl/CoqGym - A Learning Environment for Theorem Proving with the Coq proof assistant
• MetaCoq/metacoq - Metaprogramming in Coq
• antalsz/hs-to-coq - Convert Haskell source code to Coq source code
• stepchowfun/proofs - My personal repository of formally verified mathematics.
• UniMath/Foundations - Voevodsky's original development of the univalent foundations of mathematics in Coq
• QuickChick/QuickChick - Randomized Property-Based Testing Plugin for Coq
• mit-pdos/fscq - FSCQ is a certified file system written and proven in Coq
• mattam82/Coq-Equations - A function definition package for Coq
• jscert/jscert - A Coq specification of ECMAScript 5 (JavaScript) with verified reference interpreter
• 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
• jasmin-lang/jasmin - Language for high-assurance and high-speed cryptography
• DeepSpec/InteractionTrees - A Library for Representing Recursive and Impure Programs in Coq
• clarus/coq-chick-blog - 🐣 A blog engine written and proven in Coq
• uwplse/verdi-raft - An implementation of the Raft distributed consensus protocol, verified in Coq using the Verdi framework
• math-comp/analysis - Mathematical Components compliant Analysis Library
• jwiegley/coq-haskell - A library for formalizing Haskell types and functions in Coq
• coq-community/math-classes - A library of abstract interfaces for mathematical structures in Coq [maintainer=@spitters]
• GeoCoq/GeoCoq - A formalization of geometry in Coq based on Tarski's axiom system
• ilyasergey/pnp - Lecture notes for a short course on proving/programming in Coq via SSReflect.
• Lysxia/advent-of-coq-2018 - Advent of Code 2018, in Coq! (https://adventofcode.com/2018)
• coq-community/fourcolor - Formal proof of the Four Color Theorem [maintainer=@ybertot]
• mit-plv/kami - A Platform for High-Level Parametric Hardware Specification and its Modular Verification
• discus-lang/iron - Coq formalizations of functional languages.
• verse-lab/ceramist - Verified hash-based AMQ structures in Coq
• coq-community/coq-ext-lib - A library of Coq definitions, theorems, and tactics. [maintainers=@gmalecha,@liyishuai]
• mit-pdos/perennial - Verifying concurrent crash-safe systems
• mit-plv/koika - A core language for rule-based hardware design 🦑
• CertiCoq/certicoq - A Verified Compiler for Gallina, Written in Gallina
• LPCIC/coq-elpi - Coq plugin embedding elpi
• project-oak/silveroak - Formal specification and verification of hardware, especially for security and privacy.
• verse-lab/toychain - A minimalistic blockchain consensus implemented and verified in Coq
• coq-community/corn - Coq Repository at Nijmegen [maintainers=@spitters,@VincentSe]
• Ptival/PeaCoq - PeaCoq is a pretty Coq, isn't it?
• uds-psl/coq-library-undecidability - A library of mechanised undecidability proofs in the Coq proof assistant.
• AU-COBRA/ConCert - A framework for smart contract verification 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.
• coq-community/coq-art - Coq code and exercises from the Coq'Art book [maintainers=@ybertot,@Casteran]
• mit-plv/riscv-coq - RISC-V Specification in Coq
• clarus/falso - A proof of false in Coq.
• coq-concurrency/pluto - A web server written in Coq.
• coq-community/coq-dpdgraph - Build dependency graphs between Coq objects [maintainers=@Karmaki,@ybertot]
• WasmCert/WasmCert-Coq - A mechanisation of Wasm in Coq
• pi8027/lambda-calculus - A Formalization of Typed and Untyped λ-Calculi in Coq and Agda2
• formal-land/coq-of-rust - Formal verification for Rust 🦀 by translation to the proof system Coq 🐓
• ymherklotz/vericert - A formally verified high-level synthesis tool based on CompCert and written in Coq.
• inQWIRE/SQIR - A Small Quantum Intermediate Representation
• plclub/hs-to-coq - Convert Haskell source code to Coq source code.
• ml4tp/gamepad - A Learning Environment for Theorem Proving
• affeldt-aist/monae - Monadic effects and equational reasonig in Coq
• coq-community/coqeal - The Coq Effective Algebra Library [maintainers=@CohenCyril,@proux01]
• imdea-software/htt - Hoare Type Theory
• coq-io/io - A library for effects in Coq.
• affeldt-aist/infotheo - A Coq formalization of information theory and linear error-correcting codes
• coq-contribs/coq-in-coq - A formalisation of the Calculus of Constructions
• bedrocksystems/BRiCk - Formalization of C++ for verification purposes.
• choukh/Set-Theory - A formalization of the textbook Elements of Set Theory
• sigurdschneider/lvc - LVC verified compiler
• mit-plv/bedrock - Coq library for verified low-level programming
• INRIA/velus - A Lustre compiler in Coq
• coq-community/hydra-battles - Variations on Kirby & Paris' hydra battles and other entertaining math in Coq (collaborative, documented, includes exercises) [maintainer=@Casteran]
• MichaelBurge/pornview - Porn browser formally-verified in Coq
• geohot/coq-hardy - Formalizing the Theorems from Hardy's "An Introduction to the Theory of Numbers" in coq
• uwplse/pumpkin-pi - An extension to PUMPKIN PATCH with support for proof repair across type equivalences.
• philzook58/nand2coq - Build an educational formally verified version of the Nand 2 Tetris course using Coq (and other formal tools).
• lthms/FreeSpec - A framework for implementing and certifying impure computations in Coq
• cmeiklejohn/distributed-data-structures - Distributed Data Structures in Coq
• xavierleroy/cdf-mech-sem - Coq development for the course "Mechanized semantics", Collège de France, 2019-2020
• jtassarotti/coq-proba - A Probability Theory Library for the Coq Theorem Prover
• coq-community/autosubst - Automation for de Bruijn syntax and substitution in Coq [maintainers=@RalfJung,@co-dan]
• anton-trunov/coq-lecture-notes - Coq Lecture Notes (WIP)
• SSProve/ssprove - A foundational framework for modular cryptographic proofs in Coq
• mit-plv/rupicola - Gallina to Bedrock2 compilation toolkit
• arthuraa/poleiro - A blog about Coq
• wouter-swierstra/xmonad - xmonad in Coq
• math-comp/finmap - Finite sets, finite maps, multisets and generic sets
• coq-community/topology - General topology in Coq [maintainers=@amiloradovsky,@Columbus240,@stop-cran]
• pirapira/evmverif - An EVM code verification framework in Coq
• coq-community/paramcoq - Coq plugin for parametricity [maintainer=@proux01]
• dschepler/coq-sequent-calculus - Coq formalizations of Sequent Calculus, Natural Deduction, etc. systems for propositional logic
• vrahli/NuprlInCoq - Implementation of Nuprl's type theory in Coq
• 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.
• foreverbell/verified - Coq formalizations and proofs of (data) structures and algorithms.
• barry-jay-personal/tree-calculus - Proofs in Coq for the book Reflective Programs in Tree Calculus
• damien-pous/relation-algebra - Relation algebra library for Coq
• coq-community/parseque - Total Parser Combinators in Coq [maintainer=@womeier]
• tchajed/coq-record-update - Library to create Coq record update functions
• mit-plv/coqutil - Coq library for tactics, basic definitions, sets, maps
• snu-sf/paco - A Coq library for parametric coinduction
• andrejbauer/dedekind-reals - A formalization of the Dedekind reals in Coq
• coq-community/reglang - Regular Language Representations in Coq [maintainers=@chdoc,@palmskog]
• choukh/Baby-Set-Theory - Coq集合论中文教程
• vlopezj/coq-course - Coq course at Chalmers CSE
• tchajed/ltac2-tutorial - Ltac2 tutorial
• thery/coqprime - Prime numbers for Coq
• 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]
• pedrotst/coquedille - A Coq to Cedille compiler written 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.
• charguer/tlc - Library for Classical Coq
• xavierleroy/cdf-program-logics - Companion Coq development for Xavier Leroy's 2021 lectures on program logics
• snu-sf/promising-coq - The Coq development of A Promising Semantics for Relaxed-Memory Concurrency
• math-comp/Coq-Combi - Algebraic Combinatorics in Coq
• bmsherman/topology - Formal topology (and some probability) in Coq
• fblanqui/color - Coq library on rewriting theory and termination
• coq-community/chapar - A framework for verification of causal consistency for distributed key-value stores and their clients in Coq [maintainer=@palmskog]
• gangtan/CPUmodels - GoNative project: formal machines models in Coq
• codyroux/broad-coq-tutorial - Some unstructured notes concerning the Broad tutorial to take place in March 2020
• arthuraa/extructures - Finite sets and maps for Coq with extensional equality
• vafeiadis/hahn - Hahn: A Coq library
• tezos/tezoscoq - working with coq and tezos
• math-comp/algebra-tactics - Ring, field, lra, nra, and psatz tactics for Mathematical Components
• math-comp/Abel - A proof of Abel-Ruffini theorem.
• Lysxia/coq-simple-io - IO for Gallina
• coq-community/graph-theory - Graph Theory [maintainers=@chdoc,@damien-pous]
• rafaelcgs10/W-in-Coq - This is a Coq formalization of Damas-Milner type system and its algorithm W.
• pa-ba/calc-comp - Coq proofs for the paper "Calculating Correct Compilers"
• logsem/aneris - Program logic for developing and verifying distributed systems
• 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
• 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]
• reynir/Brainfuck - Brainfuck formalized in Coq
• 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]
• Lysxia/system-F - Formalization of the polymorphic lambda calculus and its parametricity theorem
• Zilliqa/scilla-coq - State-Transition Systems for Smart Contracts
• vrahli/Velisarios - A Coq-based framework to verify the correctness of Byzantine fault-tolerant distributed 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
• coq-community/gaia - Implementation of books from Bourbaki's Elements of Mathematics in Coq [maintainer=@thery]
• thery/hanoi - Hanoi tower in Coq
• sweirich/graded-haskell - Graded Dependent Type systems
• sifive/ProcKami - Kami based processor implementations and specifications
• math-comp/odd-order - The formal proof of the Odd Order Theorem
• imdea-software/fcsl-pcm - Partial Commutative Monoids
• EasyCrypt/certicrypt - CertiCrypt Coq Framework
• dboulytchev/miniKanren-coq - A certified semantics for relational programming workout.
• coq-io/system - Library of Unix effects for Coq.
• 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]
• coq-community/alea - Coq library for reasoning on randomized algorithms [maintainers=@anton-trunov,@volodeyka]
• affeldt-aist/coq-robot - Mathematics of Rigid Body Transformationss using Coq and MathComp
• uwplse/cheerios - Formally verified Coq serialization library with support for extraction to OCaml
• thery/T2048 - a version of the 2048 game for Coq
• novifinancial/LibraChain - A library providing mechanized proofs of the LibraBFT consensus using the Coq theorem prover
• marshall-lee/software_foundations - My solutions to Software Foundations course in Coq proof assistant.
• coq-community/atbr - Coq library and tactic for deciding Kleene algebras [maintainer=@tchajed]
• bobatkey/system-f-parametricity-model - A Model of Relationally Parametric System F in Coq
• arthuraa/deriving - Class instances for Coq inductive types with little boilerplate
• Yosuke-Ito-345/Actuary - Formalization of the basic actuarial mathematics using Coq
• uwplse/StructTact - Coq utility and tactic library.
• pi8027/stablesort - Stable sort algorithms and their stability proofs in Coq
• math-comp/mczify - Micromega tactics for Mathematical Components
• dunnl/tealeaves - A Coq library for abstract syntactical reasoning
• coq-community/coqoban - Sokoban (in Coq) [maintainer=@erikmd]
• coq-community/bits - A formalization of bitset operations in Coq and the corresponding axiomatization and extraction to OCaml native integers [maintainer=@anton-trunov]
• VeriNum/vcfloat - VCFloat: A Unified Coq Framework for Verifying C Programs with Floating-Point Computations
• mgrabovsky/fm-notes - Unassorted scribbles on formal methods, type theory, category theory, and so on, and so on
• inQWIRE/QuantumLib - Coq library for reasoning about quantum programs
• Huxpro/WasmCert - A (in-development) Coq mechanization of WebAssembly specification.
• coq-community/sudoku - A certified Sudoku solver in Coq [maintainers=@siraben,@thery]
• CertiKOS/coqrel - Binary logical relations library for the Coq proof assistant
• AU-COBRA/PoS-NSB - A formalization of a Proof-of-Stake Nakamoto-style blockchain in Coq
• gallais/parseque - Total Parser Combinators in Coq
• takanuva/cps - A formalization of continuation-passing style calculi in Coq [WIP]
• 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