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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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
A modern proof language
- formality
- lambda-calculus
- type-theory
- proof-language
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
Metaprogramming, verified meta-theory and implementation of Rocq in Rocq
- coq
- metaprogramming
- coq-formalization
- rocq
The Ott tool for writing definitions of programming languages and calculi
A Library for Representing Recursive and Impure Programs in Coq
A library of Coq definitions, theorems, and tactics. [maintainers=@gmalecha,@liyishuai]
- coq
- library
- programming
- coq-platform
A foundational framework for modular cryptographic proofs in Coq
- cryptography
- coq-library
- coq-formalization
- state-separating-proofs
Hoare Type Theory
- hoare-logic
- hoare-monads
- separation-logic
- coq
Monadic effects and equational reasoning in Rocq
- monads
- monad-transformers
- probabilistic-programming
- nondeterminism
Foundational Cryptography Framework for machine-checked proofs of cryptography.
Regular Language Representations in Coq [maintainers=@chdoc,@palmskog]
- coq
- mathcomp
- regular-languages
- ssreflect
VCFloat: A Unified Coq Framework for Verifying C Programs with Floating-Point Computations
Partial Commutative Monoids
- partial-commutative-monoid
- separation-logic
- coq
- coq-library
A library for verifying graph-manipulating programs. Powered by Coq and VST. Compatible with CompCert.
- coq
- vst
- compcert
- graph-algorithms
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
Completeness and Decidability of Modal Logic Calculi [maintainer=@chdoc]
- coq
- mathcomp
- modal-logics
- ctl
Formal proof in Coq of Puiseux's Theorem.