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
Lean certificates accompanying Navier-Stokes and Euler results
This rocq library aims to formalize a substantial body of mathematics using the univalent point of view.
- coq
- mathematics
- unimath
- coq-library
Mathematical Components
- coq
- ssreflect
- mathcomp
- coq-formalization
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
The Ott tool for writing definitions of programming languages and calculi
A Library for Representing Recursive and Impure Programs in Coq
Verifying Signal's security at the machine-code level
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
An implementation of the Raft distributed consensus protocol, verified in Coq using the Verdi framework
- raft
- verdi
- coq
- proof
A library for formalizing Haskell types and functions in 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
A foundational framework for modular cryptographic proofs in Coq
- cryptography
- coq-library
- coq-formalization
- state-separating-proofs
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