dependent-types

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.

A modern proof language

A Proof-oriented Programming Language

A purely functional programming language with first class types

Agda is a dependently typed programming language / interactive theorem prover.

Lean Theorem Prover

A dependently-typed proof language intended to make provably correct bare metal code possible for working software engineers.

A friendly little systems language with first-class types. Very WIP! 🚧 🚧 🚧

A fast functional language based on two level type theory

Cedille, a dependently typed programming languages based on the Calculus of Dependent Lambda Eliminations

A Haskell library for typesafe music composition

An exhaustive list of all Rust resources regarding automated or semi-automated formalization efforts in any area, constructive mathematics, formal algorithms, and program verification.

Proof assistant based on the λΠ-calculus modulo rewriting

A proof assistant and a dependently-typed language

A garden of small programming language implementations 🪴

🚧 (Alpha stage software) A declarative data definition language for formally specifying binary data formats. 🚧

A Compiler for the Popr Language

An in-progress fast, dependently typed, functional programming language implemented in Swift.

A function definition package for Coq

Lecture notes on univalent foundations of mathematics with Agda