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
Mathematical Components
- coq
- ssreflect
- mathcomp
- coq-formalization
A port of Coq to Javascript -- Run Coq in your Browser
- coq
- proof-assistant
- javascript
- integrated-development-environment
Formal proof of the Four Color Theorem [maintainer=@ybertot]
- coq
- ssreflect
- mathcomp
- four-color-theorem
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 library of abstract interfaces for mathematical structures in Coq [maintainer=@spitters,@Lysxia]
- coq-library
- typeclasses
- mathematics
- coq
A Lean formalization of the Classification of Finite Simple Groups
A library of mechanised undecidability proofs in the Coq proof assistant.
A mechanisation of Wasm in Rocq
- webassembly
- wasm
- coq
- rocq-prover
A foundational framework for modular cryptographic proofs in Coq
- cryptography
- coq-library
- coq-formalization
- state-separating-proofs
The Penn Locally Nameless Metatheory Library
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
Regular Language Representations in Coq [maintainers=@chdoc,@palmskog]
- coq
- mathcomp
- regular-languages
- ssreflect
Library for Classical Coq
The formal proof of the Odd Order Theorem
- coq
- ssreflect
- mathcomp
- feit-thompson-theorem
Implementation of books from Bourbaki's Elements of Mathematics in Coq [maintainer=@thery]
- coq
- bourbaki
- set-theory
- mathcomp
Stable sort algorithms and their stability proofs in Rocq
- mathcomp
- ssreflect
- sorting-algorithms
- mergesort
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
Completeness and Decidability of Modal Logic Calculi [maintainer=@chdoc]
- coq
- mathcomp
- modal-logics
- ctl