An axiom-free formalization of category theory in Coq for personal study and practical work
- category-theory
- coq
- monad
- profunctor
Repository Index
56,139 visible repositories in the index
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Mathematical Components
- coq
- ssreflect
- mathcomp
- coq-formalization
Mathematical Components compliant Analysis Library
- rocq
- analysis
- coq
- mathcomp
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 Verified Compiler for Gallina, Written in Gallina
- coq
- gallina
- compiler
- formal-verification
A library of abstract interfaces for mathematical structures in Coq [maintainer=@spitters,@Lysxia]
- coq-library
- typeclasses
- mathematics
- coq
A framework for smart contract verification in Coq
- blockchain
- coq
- smart-contracts
- verification
RISC-V Specification in Coq
A foundational framework for modular cryptographic proofs in Coq
- cryptography
- coq-library
- coq-formalization
- state-separating-proofs
The Waterproof plugin for the Rocq proof assistant allows you to write Rocq proofs in a style that resembles handwritten mathematical proofs, designed to help university students with learning how to prove mathematical statements.
Prime numbers for Coq
- coq
- theorem-proving
- elliptic-curves
- prime-numbers
Library for Classical Coq
IO for Gallina
- coq
- ocaml
- extraction
Micromega tactics for Mathematical Components
- coq
- ssreflect
- mathcomp
- proof-automation
Libraries demonstrating design patterns for programming and proving with canonical structures in Coq [maintainer=@anton-trunov]
- coq
- canonical-structures
- typeclasses
- ssreflect
A Coq library providing tactics to deal with hypothesis
- coq
- formal-proofs
- proof-assistant
- tactics
Coq formalization of algorithms due to Tarjan and Kosaraju for finding strongly connected graph components using Mathematical Components and SSReflect [maintainers=@CohenCyril,@palmskog]
- coq
- mathcomp
- ssreflect
- tarjan-algorithm
Coqtail is a library of mathematical theorems and tools proved inside the Coq proof assistant. Results range mostly from arithmetic to real and complex analysis. [maintainer=@jmadiot]
- coq
- complex-analysis
- real-analysis
Extra contribution for mathcomp
- theorem-proving
- primality-test
- matroid
- rsa-algorithm