155 Open source projects that are alternatives of or similar to gaia

Finite sets, finite maps, multisets and generic sets

A proof of Abel-Ruffini theorem.

Stable sort algorithms and their stability proofs in Coq

Multinomials for the Mathematical Components library.

Formalization of the basic actuarial mathematics using Coq

The formal proof of the Odd Order Theorem

Automation for de Bruijn syntax and substitution in Coq [maintainers=@RalfJung,@co-dan]

The Coq Effective Algebra Library [maintainers=@CohenCyril,@proux01]

Coq code and exercises from the Coq'Art book [maintainers=@ybertot,@Casteran]

Coq library of arbitrarily large numbers, providing BigN, BigZ, BigQ that used to be part of the standard library [maintainers=@proux01,@erikmd]

Variations on Kirby & Paris' hydra battles and other entertaining math in Coq (collaborative, documented, includes exercises) [maintainer=@Casteran]

A framework for verification of causal consistency for distributed key-value stores and their clients in Coq [maintainer=@palmskog]

Coq encoding of ZFC and formalization of the textbook Elements of Set Theory

A core language for rule-based hardware design 🦑

A library of mechanised undecidability proofs in the Coq proof assistant.

Coq to OCaml FFI made easy [maintainer=@lthms]

Reference sheet for the Coq language.

A minimalistic blockchain consensus implemented and verified in Coq

Template project for program verification in Coq

Coq plugin embedding elpi

Proof of concept to generate safe and fast JavaScript

Intermediate Memory Model (IMM) and compilation correctness proofs for it

A mechanisation of Wasm in Coq

Coq Repository at Nijmegen [maintainers=@spitters,@VincentSe]

A framework for implementing and certifying impure computations in Coq

Unassorted scribbles on formal methods, type theory, category theory, and so on, and so on

Formalization of the polymorphic lambda calculus and its parametricity theorem

Voevodsky's original development of the univalent foundations of mathematics in Coq

A general yet easy-to-use formalization of Big O, Big Theta, and more based on seminormed vector spaces.

The RiscvSpecKami package provides SiFive's RISC-V processor model. Built using Coq, this processor model can be used for simulation, model checking, and semantics analysis. The RISC-V processor model can be output as Verilog and simulated/synthesized using standard Verilog tools.

No description or website provided.

Union, Intersect, and Difference set operations for ActiveRecord (also, SQL's UnionAll).

A Learning Environment for Theorem Proving with the Coq proof assistant

Archive for all Coq related OPAM packages organized in various repositories

Randomized Property-Based Testing Plugin for Coq

Statements of famous theorems proven in Coq [maintainer=@jmadiot]

We define a simple programming language, simp_lang, then instantiate Iris to verify simple simp_lang programs with concurrent separation logic.

Mutation analysis tool for Coq verification projects

Goose converts a small subset of Go to Coq

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

The Vellvm (Verified LLVM) coq development.

🐣 A blog engine written and proven in Coq

FSCQ is a certified file system written and proven in Coq

Proof Updater Mechanically Passing Knowledge Into New Proofs, Assisting The Coq Hacker

Metaprogramming in Coq

Gallina to Bedrock2 compilation toolkit

A Coq specification of ECMAScript 5 (JavaScript) with verified reference interpreter

Set theory applied on sorted and deduplicated slices.

Jupyter kernel for Coq

Recipe for FPGA cooking

Coq library for reasoning on randomized algorithms [maintainers=@anton-trunov,@volodeyka]

Convert Haskell source code to Coq source code.

A function definition package for Coq

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

Collection of scripts to improve the output of coqdoc [maintainers=@chdoc,@palmskog]

CoqHammer: An Automated Reasoning Hammer Tool for Coq - Proof Automation for Dependent Type Theory

Partial Commutative Monoids

An implementation of the Raft distributed consensus protocol, verified in Coq using the Verdi framework

A Visual Studio Code extension for Coq [[email protected],@fakusb]

A work-in-progress language and compiler for verified low-level programming