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
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
NASA PVS Library of Formal Developments
formally verified category theory library
- category-theory
- formal-verification
- formal-proofs
Mathematical Components compliant Analysis Library
- rocq
- analysis
- coq
- mathcomp
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 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
Verified hash-based AMQ structures in Coq
- bloom-filter
- probability
- coq-formalization
- coq
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
Finite sets, finite maps, multisets and generic sets
- coq
- ssreflect
- mathcomp
- finite-sets
Hahn: A Coq library
- coq-library
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
Formal proof in Coq of Puiseux's Theorem.