Bend 2: a fast language that blocks AI mistakes via proof. Install: curl -fsSL https://bend-lang.com/install.sh | sh
Repository Index
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Lean 4 programming language and theorem prover
- lean4
- lean
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
Mathematical Components
- coq
- ssreflect
- mathcomp
- coq-formalization
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 Coq specification of ECMAScript 5 (JavaScript) with verified reference interpreter
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 Coq definitions, theorems, and tactics. [maintainers=@gmalecha,@liyishuai]
- coq
- library
- programming
- coq-platform
Verified hash-based AMQ structures in Coq
- bloom-filter
- probability
- coq-formalization
- coq
Coq Repository at Nijmegen [maintainers=@spitters,@VincentSe,@Lysxia]
- coq-library
- real-number
- coq
- coq-ci
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
The Coq Effective Algebra Library [maintainers=@CohenCyril,@proux01]
- coq
- refinement
- mathcomp
- coq-platform
Statements of famous theorems proven in Coq [maintainer=@jmadiot]
- coq
- theorems
Relation algebra library for Coq
Finite sets, finite maps, multisets and generic sets
- coq
- ssreflect
- mathcomp
- finite-sets
Regular Language Representations in Coq [maintainers=@chdoc,@palmskog]
- coq
- mathcomp
- regular-languages
- ssreflect
Prime numbers for Coq
- coq
- theorem-proving
- elliptic-curves
- prime-numbers