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
A Proof-oriented Programming Language
- programming-language
- verification
- dependent-types
- smt
Agda is a dependently typed programming language / interactive theorem prover.
- dependent-types
- programming-language
- proof-assistant
- agda
Formal verification for AI: a Lean 4 + Dafny proof checker that catches fake AI proofs (reward hacking), and verified recursive self-improvement (RSI) for coding agents. AI for math, physics and software engineering.
- proof-assistant
- lean4
- ai-agents
- ai-for-math
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
Metaprogramming, verified meta-theory and implementation of Rocq in Rocq
- coq
- metaprogramming
- coq-formalization
- rocq
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
Formal proof of the Four Color Theorem [maintainer=@ybertot]
- coq
- ssreflect
- mathcomp
- four-color-theorem
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 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
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.
A Lean formalization of the Stacks Project
A library of Coq definitions, theorems, and tactics. [maintainers=@gmalecha,@liyishuai]
- coq
- library
- programming
- coq-platform
Coq Repository at Nijmegen [maintainers=@spitters,@VincentSe,@Lysxia]
- coq-library
- real-number
- coq
- coq-ci
A foundational framework for modular cryptographic proofs in Coq
- cryptography
- coq-library
- coq-formalization
- state-separating-proofs
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
The Coq Effective Algebra Library [maintainers=@CohenCyril,@proux01]
- coq
- refinement
- mathcomp
- coq-platform
Statements of famous theorems proven in Coq [maintainer=@jmadiot]
- coq
- theorems