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
Gno: An interpreted, stack-based Go virtual machine to build succinct and composable apps + gno.land: a blockchain for timeless code and fair open-source.
- gno
- gnoland
- gnolang
- bft
A framework for formally verifying distributed systems implementations in Coq
- verdi
- coq
- coq-library
- proof
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
An implementation of the Raft distributed consensus protocol, verified in Coq using the Verdi framework
- raft
- verdi
- coq
- proof
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
Swift cryptography library for Bitcoin and Nostr. ECDSA, Schnorr, ECDH, and zero-knowledge proofs on secp256k1. Apple platforms and Linux.
- taproot
- secp256k1
- swift
- schnorr
A library of mechanised undecidability proofs in the Coq proof assistant.
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
Compilation and Verification of Data-Centric Languages
- verification
- query-language
- query-engine
- functional-programming
Python bindings for the Coq interactive proof assistant
- python
- coq
- verification
- machine-learning
The Waterproof plugin for the Rocq proof assistant allows you to write Rocq proofs in a style that resembles handwritten mathematical proofs, designed to help university students with learning how to prove mathematical statements.
Docker images of the Coq proof assistant (see also: https://github.com/coq-community/docker-coq-action) [maintainer=@Justme0606]
The formal proof of the Odd Order Theorem
- coq
- ssreflect
- mathcomp
- feit-thompson-theorem
Micromega tactics for Mathematical Components
- coq
- ssreflect
- mathcomp
- proof-automation
Stable sort algorithms and their stability proofs in Rocq
- mathcomp
- ssreflect
- sorting-algorithms
- mergesort
A Coq library providing tactics to deal with hypothesis
- coq
- formal-proofs
- proof-assistant
- tactics
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