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
An axiom-free formalization of category theory in Coq for personal study and practical work
- category-theory
- coq
- monad
- profunctor
A port of Coq to Javascript -- Run Coq in your Browser
- coq
- proof-assistant
- javascript
- integrated-development-environment
The Ott tool for writing definitions of programming languages and calculi
A Library for Representing Recursive and Impure Programs in Coq
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 for formalizing Haskell types and functions in Coq
A library of abstract interfaces for mathematical structures in Coq [maintainer=@spitters,@Lysxia]
- coq-library
- typeclasses
- mathematics
- coq
Verified hash-based AMQ structures in Coq
- bloom-filter
- probability
- coq-formalization
- coq
The Penn Locally Nameless Metatheory Library
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
A Rocq formalization of information theory and linear error-correcting codes
- information-theory
- error-correcting-codes
- probability
- convexity
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Regular Language Representations in Coq [maintainers=@chdoc,@palmskog]
- coq
- mathcomp
- regular-languages
- ssreflect
Prime numbers for Coq
- coq
- theorem-proving
- elliptic-curves
- prime-numbers
Stable sort algorithms and their stability proofs in Rocq
- mathcomp
- ssreflect
- sorting-algorithms
- mergesort
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
Completeness and Decidability of Modal Logic Calculi [maintainer=@chdoc]
- coq
- mathcomp
- modal-logics
- ctl
Extra contribution for mathcomp
- theorem-proving
- primality-test
- matroid
- rsa-algorithm