Lean 4 programming language and theorem prover
- lean4
- lean
Repository Index
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The Rocq Prover is an interactive theorem prover, or proof assistant. 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.
- proof-assistant
- coq
- theorem-proving
- dependent-types
A Coq library for Homotopy Type Theory
- type-theory
- homotopy-type-theory
- univalent-foundations
This rocq library aims to formalize a substantial body of mathematics using the univalent point of view.
- coq
- mathematics
- unimath
- coq-library
An axiom-free formalization of category theory in Coq for personal study and practical work
- category-theory
- coq
- monad
- profunctor
Mathematical Components
- coq
- ssreflect
- mathcomp
- coq-formalization
A framework for formally verifying distributed systems implementations in Coq
- verdi
- coq
- coq-library
- proof
Metaprogramming, verified meta-theory and implementation of Rocq in Rocq
- coq
- metaprogramming
- coq-formalization
- rocq
The repository host gives no description.
A Library for Representing Recursive and Impure Programs in Coq
Formal proof of the Four Color Theorem [maintainer=@ybertot]
- coq
- ssreflect
- mathcomp
- four-color-theorem
Mathematical Components compliant Analysis Library
- rocq
- analysis
- coq
- mathcomp
A formalization of geometry in Coq based on Tarski's axiom system
Theorem statements about OSS-Fuzz fuzz targets as compiled RISC-V binaries, and machine-checked Rocq proofs of them
- formal-verification
- fuzzing
- oss-fuzz
- proofs
A library of abstract interfaces for mathematical structures in Coq [maintainer=@spitters,@Lysxia]
- coq-library
- typeclasses
- mathematics
- coq
A library of mechanised undecidability proofs in the Coq proof assistant.
A library of Coq definitions, theorems, and tactics. [maintainers=@gmalecha,@liyishuai]
- coq
- library
- programming
- coq-platform
A mechanisation of Wasm in Rocq
- webassembly
- wasm
- coq
- rocq-prover
Coq Repository at Nijmegen [maintainers=@spitters,@VincentSe,@Lysxia]
- coq-library
- real-number
- coq
- coq-ci
A foundational framework for modular cryptographic proofs in Coq
- cryptography
- coq-library
- coq-formalization
- state-separating-proofs
Hoare Type Theory
- hoare-logic
- hoare-monads
- separation-logic
- coq
Monadic effects and equational reasoning in Rocq
- monads
- monad-transformers
- probabilistic-programming
- nondeterminism
A Rocq formalization of information theory and linear error-correcting codes
- information-theory
- error-correcting-codes
- probability
- convexity
The Coq Effective Algebra Library [maintainers=@CohenCyril,@proux01]
- coq
- refinement
- mathcomp
- coq-platform