Bend 2: a fast language that blocks AI mistakes via proof. Install: curl -fsSL https://bend-lang.com/install.sh | sh
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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
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
A framework for formally verifying distributed systems implementations in Coq
- verdi
- coq
- coq-library
- proof
A port of Coq to Javascript -- Run Coq in your Browser
- coq
- proof-assistant
- javascript
- integrated-development-environment
formally verified category theory library
- category-theory
- formal-verification
- formal-proofs
A formalization of geometry in Coq based on Tarski's axiom system
An implementation of the Raft distributed consensus protocol, verified in Coq using the Verdi framework
- raft
- verdi
- coq
- proof
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.
Verified hash-based AMQ structures in Coq
- bloom-filter
- probability
- coq-formalization
- coq
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
Variations on Kirby & Paris' hydra battles and other entertaining math in Coq (collaborative, documented, includes exercises) [maintainer=@Casteran]
- coq
- hydra-battles
- ordinal-notations
- formal-proofs
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
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Statements of famous theorems proven in Coq [maintainer=@jmadiot]
- coq
- theorems
Stable sort algorithms and their stability proofs in Rocq
- mathcomp
- ssreflect
- sorting-algorithms
- mergesort
A library for verifying graph-manipulating programs. Powered by Coq and VST. Compatible with CompCert.
- coq
- vst
- compcert
- graph-algorithms
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