64 Open source projects that are alternatives of or similar to Agda

Type Theory in Type Theory using Cubical Agda

Logical manifestations of topological concepts, and other things. This version adopts the univalent point of view.

Univalent mathematics in Agda

Homotopy Type Theory proofs in Idris

A research project in path semantics, a re-interpretation of functions for expressing mathematics

Exercises from Benjamin Pierce's "Types and Programming Languages" textbook + extras!

Experimental implementation of Cubical Type Theory

A categorical semantics library in Agda.

Category theory applied to functional programming (undergraduate project)

SHAPE/S∀F∃: static prover/type-checker for N-D array programming in Scala, a use case of intuitionistic type theory

Algebraic proof discovery in Agda

Deciding Presburger arithmetic in agda

Fine-grain implementations of common lambda calculi in Haskell, tested with QuickCheck

Cicada Language

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

A formalization of category theory in cubical Agda

Mtac in Agda

A universe of scope- and type-safe syntaxes (syntices?). Includes generic implementation of type-preserving renaming/substitution with all the proofs you could possibly need.

Normalization by evaluation for Martin-Löf Type Theory with dependent records

Dependently-typed lambda calculus, Mini-TT, extended and implemented in Rust

The MLPolyR programming language, revived

Research on integrating datalog & lambda calculus via monotonicity types

Language Server for Agda

agda-mode on VS Code

Agda language support for the Atom editor

The People's Refinement Logic

Variant types in TypeScript

The theory of algebraic graphs formalised in Agda

Proof automation – for Agda, in Agda.

Homotopy type theory

A formalised, cross-linked reference resource for mathematics done in Homotopy Type Theory

Constructive Interpretations of HoTT

Homepage Theorem Proving in Lean FAQ

A TACtic library for Agda

A collection of papers on modules.

Accessing Agda's interaction mode via command line & external tactic for Agda.

A slow-paced introduction to reflection in Agda. ---Tactics!

λΠ Programming Language Theory

Functional Reactive Programming with Agda

Lecture note on Lambda Calculus and Types for FLOLAC

Lecture notes on univalent foundations of mathematics with Agda

😎TT

Dependently-typed row-polymorphic programming language, evolved from minitt-rs

A builder for LaTeX, knitr, literate Agda, literate Haskell and Pweave that automatically builds dependencies.

Category theory formalized in cubical agda

Programming language agnostic type construction language based on polynomials.

Book: Gentle Introduction to Dependent Types with Idris

wherein I implement several substructural logics in Agda

Reading schedule and our library of pdfs

(WIP) Dependently-typed programming language with Agda style dependent pattern matching

My undergradate thesis on coinductive types in univalent type theory

An Emacs mode for working with Agda code in an Org-mode like fashion, more or less.

"Between the darkness and the dawn, a red cube rises!": a proof assistant for cartesian cubical type theory

Building a modern functional compiler from first principles. (http://dev.stephendiehl.com/fun/)

apkg - package manager for Agda

A SuperCompiler for Martin-Löf's Type Theory

Formalising Type Theory in a modular way for translations between type theories

Towards changing things and see if it proofs

A workshop on learning Agda with minimal prerequisites.

An experimental implementation of homotopy type theory in the interactive proof assistant Isabelle