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The Top 194 Type Theory Open Source Projects

Categories > Compilers > Type Theory
Plt ⭐ 4,676
Programming Language Theory λΠ
most recent commit 2 months ago
Write You A Haskell ⭐ 2,744
Building a modern functional compiler from first principles. (http://dev.stephendiehl.com/fun/)
most recent commit 3 years ago
Kind ⭐ 2,519
A modern proof language
total releases 104most recent commit 7 days ago
Agda ⭐ 1,820
Agda is a dependently typed programming language / interactive theorem prover.
most recent commit 2 days ago
Lean ⭐ 1,676
Lean Theorem Prover
most recent commit 2 years ago
Learn Tt ⭐ 1,307
A collection of resources for learning type theory and type theory adjacent fields.
most recent commit 2 years ago
Hott ⭐ 1,088
Homotopy type theory
most recent commit 8 days ago
Martin Lof ⭐ 546
papers of Per Martin Löf
most recent commit 7 months ago
Pikelet ⭐ 507
A friendly little systems language with first-class types. Very WIP! 🚧 🚧 🚧
most recent commit a year ago
Cubicaltt ⭐ 441
Experimental implementation of Cubical Type Theory
most recent commit a year ago
Typedefs ⭐ 343
Programming language agnostic type construction language based on polynomials.
most recent commit 9 months ago
Peridot ⭐ 340
A fast functional language based on two level type theory
most recent commit 4 days ago
Datafun ⭐ 325
Research on integrating datalog & lambda calculus via monotonicity types
most recent commit 20 days ago
Cubical ⭐ 302
An experimental library for Cubical Agda
most recent commit 2 days ago
Homotopy Type Theory Course ⭐ 214
A course on homotopy theory and type theory, taught jointly with Jaka Smrekar
most recent commit 7 months ago
Sml Redprl ⭐ 214
The People's Refinement Logic
most recent commit 3 years ago
Gf ⭐ 184
Archive of monolithic GF repository until 2018-07-25
total releases 17most recent commit 4 years ago
Redtt ⭐ 183
"Between the darkness and the dawn, a red cube rises!": a proof assistant for cartesian cubical type theory
most recent commit 2 months ago
Typefunc ⭐ 182
Resources for type theory, functional programming, etc.
most recent commit a year ago
Hott Uf Agda Lecture Notes ⭐ 182
Lecture notes on univalent foundations of mathematics with Agda
most recent commit a month ago
Proofs ⭐ 178
My personal repository of formally verified mathematics.
most recent commit 9 hours ago
Hott Intro ⭐ 169
An introductory course to Homotopy Type Theory
most recent commit 2 years ago
Cooltt ⭐ 165
😎TT
most recent commit 23 days ago
Spartan Type Theory ⭐ 163
Spartan type theory
most recent commit 3 years ago
How To Prove ⭐ 161
My Solution to Velleman's book
most recent commit 2 months ago
Type Theory Study Group ⭐ 160
Resources for the online Type Theory Study Group
most recent commit 4 years ago
Path_semantics ⭐ 130
A research project in path semantics, a re-interpretation of functions for expressing mathematics
most recent commit 11 hours ago
Variant ⭐ 130
Variant types in TypeScript
dependent packages 5total releases 61most recent commit 4 months agonpm variant} Downloads
Ditto ⭐ 130
A Super Kawaii Dependently Typed Programming Language
most recent commit 4 years ago
Foundational Knowledge For Programmers ⭐ 112
List of resources about foundational knowledge for programmers (supposed to last a few decades)
most recent commit a year ago
Ttlite ⭐ 108
A SuperCompiler for Martin-Löf's Type Theory
most recent commit 4 months ago
Jonprl ⭐ 104
An proof refinement logic for computational type theory. Inspired by Nuprl. [For up-to-date development, see JonPRL's successor, RedPRL: https://github.com/redprl/sml-redprl]
most recent commit 3 years ago
Typetheory ⭐ 95
The mathematical study of type theories, in univalent foundations
most recent commit 3 months ago
Agda ⭐ 92
Agda formalisation of the Introduction to Homotopy Type Theory
most recent commit 6 months ago
Blott ⭐ 87
An experimental type checker for a modal dependent type theory.
most recent commit 2 years ago
Cicada ⭐ 87
Cicada Language
most recent commit 19 hours ago
Path ⭐ 79
A lambda calculus to explore type-directed program synthesis.
most recent commit 2 years ago
Agda Unimath ⭐ 78
Univalent mathematics in Agda
most recent commit 11 hours ago
Homotopy ⭐ 76
Homotopy theory in Coq.
most recent commit 11 years ago
Voile Rs ⭐ 74
Dependently-typed row-polymorphic programming language, evolved from minitt-rs
most recent commit 2 years ago
Formal Type Theory ⭐ 72
Formalising Type Theory in a modular way for translations between type theories
most recent commit 4 years ago
Minitt Rs ⭐ 68
Dependently-typed lambda calculus, Mini-TT, extended and implemented in Rust
most recent commit 2 years ago
Rust Nbe For Mltt ⭐ 68
Normalization by evaluation for Martin-Löf Type Theory with dependent records
most recent commit 3 years ago
Mlang ⭐ 60
Towards changing things and see if it proofs
most recent commit 10 months ago
Sott ⭐ 56
Simplified Observational Type Theory
most recent commit 2 years ago
Narc Rs ⭐ 50
(WIP) Dependently-typed programming language with Agda style dependent pattern matching
most recent commit 2 years ago
Cart Cube ⭐ 49
Cartesian Cubical Type Theory
most recent commit a year ago
Miniprl ⭐ 48
A small implementation of a proof refinement logic.
most recent commit 5 years ago
Ott ⭐ 40
Observational Type Theory as an Agda library
most recent commit 5 years ago
Pudding Old ⭐ 39
A language-integrated proof assistant, for and in Racket
most recent commit 6 years ago
Type Theory Compiler ⭐ 38
Compiler for type theoretic lambda calculi equipped with system primtives which compiles side-effecting, strict expressions into efficient LLVM IR.
most recent commit 3 years ago
Peppermint Prover ⭐ 35
Experimental proof assistant (and architecture) for dependent linear logic
most recent commit a year ago
Text_clustering ⭐ 35
k-means text clustering using cosine similarity.
most recent commit 7 years ago
Logrel Mltt ⭐ 35
A Logical Relation for Martin-Löf Type Theory in Agda
most recent commit 12 days ago
Lplzoo ⭐ 31
Fine-grain implementations of common lambda calculi in Haskell, tested with QuickCheck
most recent commit 10 months ago
Types And Programming Languages ⭐ 27
Exercises from Benjamin Pierce's "Types and Programming Languages" textbook + extras!
most recent commit 2 years ago
Formal Topology In Uf ⭐ 26
Formal Topology in Univalent Foundations (WIP).
most recent commit 5 months ago
Sasylf ⭐ 26
Educational Proof Assistant for Type Theory
most recent commit 8 months ago
Nuprlincoq ⭐ 25
Implementation of Nuprl's type theory in Coq
most recent commit 2 years ago
Dot Iris ⭐ 25
Scala Step-by-Step: Soundness for DOT with Step-Indexed Logical Relations in Iris — Coq Formalization
most recent commit a day ago
Guest0x0 ⭐ 25
Neon lights in the night tonight and stars that shine in the open sky
most recent commit 4 days ago
Tt Ghc Exercises ⭐ 25
most recent commit 4 years ago
Isabelle Hott ⭐ 25
An experimental implementation of homotopy type theory in the interactive proof assistant Isabelle
most recent commit a year ago
Menkar ⭐ 24
The multimode presheaf proof-assistant
most recent commit 3 years ago
Bi71 ⭐ 24
being a bidirectional reformulation of Martin-Löf's 1971 type theory
most recent commit 5 years ago
Ttie ⭐ 24
Type Theory with Indexed Equality
most recent commit 5 years ago
Transducers Dotnet ⭐ 23
Transducers for .NET
most recent commit 8 years ago
Gen Cart ⭐ 23
A Unifying Cartesian Cubical Set Model
most recent commit 3 years ago
Initiality ⭐ 23
A formalized proof of a version of the initiality conjecture
most recent commit 2 years ago
Linearml ⭐ 22
A simple implementation of linear type theory
most recent commit 5 years ago
Ptt ⭐ 19
Experimental type-checker for internally parametric type theory
most recent commit a year ago
Manifold ⭐ 18
Another experiment in dependently typed languages, this time with some quantitative type theory smooshed in.
most recent commit 4 years ago
Trepplein ⭐ 18
Lean type-checker written in Scala.
most recent commit 2 months ago
Tt In Cagda ⭐ 17
Simply typed lambda calculus in cubical agda
most recent commit 2 years ago
Coq Guarded Computational Type Theory ⭐ 17
most recent commit 4 years ago
Mlpolyr ⭐ 17
The MLPolyR programming language, revived
most recent commit 2 years ago
Cat ⭐ 16
A categorical semantics library in Agda.
most recent commit 2 years ago
Type Theory ⭐ 16
Typed λ-calculus in Rust
most recent commit a year ago
Reading Material ⭐ 16
Reading schedule and our library of pdfs
most recent commit 3 years ago
Mess ⭐ 15
Martin-Löf Extensible Specification and Simulator
most recent commit 7 years ago
Agda Algebras ⭐ 14
The Agda Universal Algebra Library (html docs available at the url below)
most recent commit a day ago
Cs1113f16 ⭐ 14
CS1 through Type Theory
most recent commit 5 years ago
Tt Reflection ⭐ 13
An experimental type theory with scoped equality reflection, and non-arbitrary proof search. This is basically a pared down version of Andromeda/Brazil, but with untyped reduction and a more Nuprl-like feel. Computational content of proofs is got via a realizability-based extraction. (Note: substitution is unsafe here, not because of a problem with the theory, but because I didn't understand how Bound works sadly.)
most recent commit 8 years ago
Reed Thesis ⭐ 13
My undergradate thesis on coinductive types in univalent type theory
most recent commit 4 years ago
Shapesafe ⭐ 13
SHAPE/S∀F∃: static prover/type-checker for N-D array programming in Scala, a use case of intuitionistic type theory
most recent commit a day ago
Bramble ⭐ 11
dependently-typed lisp with flexible compiler backends
most recent commit 3 years ago
Total ⭐ 11
most recent commit 6 years ago
Bathtime ⭐ 11
being an experiment with universes and time
most recent commit 9 years ago
Orca ⭐ 10
Type theory + whales and syntax
most recent commit 2 years ago
Coqbookpl ⭐ 10
Źródła mojej książki o Coqu, programowaniu funkcyjnym, teorii typów, logice konstruktywnej i innych takich.
most recent commit a year ago
Preordertt ⭐ 10
Experiments with preordered set models of (directed) type theories
most recent commit 3 years ago
Typonomikon ⭐ 10
Źródła mojej książki o Coqu, programowaniu funkcyjnym, teorii typów, logice konstruktywnej i innych takich.
most recent commit 5 days ago
Fuml ⭐ 10
Functional Minimal Language
most recent commit 4 months ago
Radical Julia ⭐ 10
Radical ideas for the Julia language.
most recent commit 2 years ago
Jonprl Mode ⭐ 9
An Emac major mode for writing JonPRL code
most recent commit 6 years ago
Myrddin ⭐ 9
most recent commit 7 years ago
Intuitionistic ⭐ 9
Automatically exported from code.google.com/p/intuitionistic
most recent commit 7 years ago
Direct Reflection For Free ⭐ 8
using Data and Typeable to get a direct reflection system for free, when we're implementing a toy language in Haskell
most recent commit 2 years ago
Inductive_types ⭐ 8
Constructing Simple and Mutual Inductive Types in Agda.
most recent commit 2 years ago
Lean Links ⭐ 8
Links to recourses for the Lean Theorem Prover
most recent commit 2 years ago
1-100 of 194 projects
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