Awesome Open Source
Awesome Open Source
Combined Topics
type-theory x
Advertising 📦 9
All Projects
Application Programming Interfaces 📦 120
Applications 📦 181
Artificial Intelligence 📦 72
Blockchain 📦 70
Build Tools 📦 111
Cloud Computing 📦 79
Code Quality 📦 28
Collaboration 📦 30
Command Line Interface 📦 48
Community 📦 81
Companies 📦 60
Compilers 📦 60
Computer Science 📦 74
Configuration Management 📦 39
Content Management 📦 167
Control Flow 📦 197
Data Formats 📦 77
Data Processing 📦 266
Data Storage 📦 132
Economics 📦 60
Frameworks 📦 198
Games 📦 122
Graphics 📦 103
Hardware 📦 148
Integrated Development Environments 📦 47
Learning Resources 📦 147
Legal 📦 28
Libraries 📦 119
Lists Of Projects 📦 21
Machine Learning 📦 336
Mapping 📦 61
Marketing 📦 15
Mathematics 📦 55
Media 📦 228
Messaging 📦 97
Networking 📦 304
Operating Systems 📦 84
Operations 📦 120
Package Managers 📦 52
Programming Languages 📦 229
Runtime Environments 📦 96
Science 📦 42
Security 📦 375
Social Media 📦 26
Software Architecture 📦 70
Software Development 📦 68
Software Performance 📦 57
Software Quality 📦 127
Text Editors 📦 45
Text Processing 📦 131
User Interface 📦 310
User Interface Components 📦 465
Version Control 📦 29
Virtualization 📦 68
Web Browsers 📦 38
Web Servers 📦 25
Web User Interface 📦 194

The Top 97 Type Theory Open Source Projects on Github

Categories > Compilers > Type Theory
Plt ⭐ 4,491
λΠ Programming Language Theory
Write You A Haskell ⭐ 2,744
Building a modern functional compiler from first principles. (http://dev.stephendiehl.com/fun/)
Kind ⭐ 1,978
A modern proof language
Lean ⭐ 1,676
Lean Theorem Prover
Agda ⭐ 1,613
Agda is a dependently typed programming language / interactive theorem prover.
Hott ⭐ 1,007
Homotopy type theory
Pikelet ⭐ 507
A friendly little systems language with first-class types. Very WIP! 🚧 🚧 🚧
Cubicaltt ⭐ 441
Experimental implementation of Cubical Type Theory
Typedefs ⭐ 343
Programming language agnostic type construction language based on polynomials.
Datafun ⭐ 295
Research on integrating datalog & lambda calculus via monotonicity types
Sml Redprl ⭐ 214
The People's Refinement Logic
Hott Uf Agda Lecture Notes ⭐ 165
Lecture notes on univalent foundations of mathematics with Agda
Redtt ⭐ 153
"Between the darkness and the dawn, a red cube rises!": a proof assistant for cartesian cubical type theory
Proofs ⭐ 137
A selection of formal proofs in Coq.
Ditto ⭐ 130
A Super Kawaii Dependently Typed Programming Language
Cooltt ⭐ 124
😎TT
Path_semantics ⭐ 115
A research project in path semantics, a re-interpretation of functions for expressing mathematics
Foundational Knowledge For Programmers ⭐ 112
List of resources about foundational knowledge for programmers (supposed to last a few decades)
Ttlite ⭐ 98
A SuperCompiler for Martin-Löf's Type Theory
Variant ⭐ 92
Variant types in TypeScript
Typetopology ⭐ 80
Logical manifestations of topological concepts, and other things. This version adopts the univalent point of view.
Voile Rs ⭐ 74
Dependently-typed row-polymorphic programming language, evolved from minitt-rs
Formal Type Theory ⭐ 72
Formalising Type Theory in a modular way for translations between type theories
Modules Papers ⭐ 70
A collection of papers on modules.
Minitt Rs ⭐ 68
Dependently-typed lambda calculus, Mini-TT, extended and implemented in Rust
Rust Nbe For Mltt ⭐ 68
Normalization by evaluation for Martin-Löf Type Theory with dependent records
Konna ⭐ 61
A functional systems language leveraging dependent types, partial evaluation, and data layout abstraction
Gidti ⭐ 60
Book: Gentle Introduction to Dependent Types with Idris
Mlang ⭐ 60
Towards changing things and see if it proofs
Narc Rs ⭐ 50
(WIP) Dependently-typed programming language with Agda style dependent pattern matching
Lplzoo ⭐ 31
Fine-grain implementations of common lambda calculi in Haskell, tested with QuickCheck
Logrel Mltt ⭐ 27
A Logical Relation for Martin-Löf Type Theory in Agda
Types And Programming Languages ⭐ 27
Exercises from Benjamin Pierce's "Types and Programming Languages" textbook + extras!
Isabelle Hott ⭐ 25
An experimental implementation of homotopy type theory in the interactive proof assistant Isabelle
Typical Math ⭐ 23
A general-purpose type theory and proof checker generator.
Tt Conspect ⭐ 22
Notes for type theory course
Type Theory ⭐ 21
Lecture note on Lambda Calculus and Types for FLOLAC
Homotopy ⭐ 21
♾ HTS: Homotopy Type System for Erlang
Dot Iris ⭐ 20
Scala Step-by-Step: Soundness for DOT with Step-Indexed Logical Relations in Iris — Coq Formalization
Idris Hott ⭐ 18
Homotopy Type Theory in Idris
Mlpolyr ⭐ 17
The MLPolyR programming language, revived
Reading Material ⭐ 16
Reading schedule and our library of pdfs
Cat ⭐ 16
A categorical semantics library in Agda.
Reed Thesis ⭐ 13
My undergradate thesis on coinductive types in univalent type theory
Tt In Cubical ⭐ 12
Type Theory in Type Theory using Cubical Agda
Bramble ⭐ 11
dependently-typed lisp with flexible compiler backends
Typonomikon ⭐ 10
Źródła mojej książki o Coqu, programowaniu funkcyjnym, teorii typów, logice konstruktywnej i innych takich.
Radical Julia ⭐ 10
Radical ideas for the Julia language.
Agda Effectful Forcing ⭐ 9
Agda formalization of the paper, "Higher-Order Functions and Brouwer's Thesis". Deduces a Brouwer ordinal from a function ((nat -> nat) -> nat) in System T.
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
Grammar Experimentation ⭐ 8
An experimental programming language containing a higher-order type system
Iotatt ⭐ 7
A PTS Supporting Induction
Agda Algebras ⭐ 7
The Agda Universal Algebra Library (html docs available at the url below)
Monoid.space ⭐ 7
Learn pure math with agda 🚀
Ttyped ⭐ 6
A simple dependently typed language based on the Calculus of Constructions.
3tier ⭐ 6
[Archived] A prototype 3-tier web application written in PureScript.
Isabelle Spartan ⭐ 6
A dependent type theory logic for Isabelle
Stuff In Agda ⭐ 5
Learning formal proofs in mathematics/computer science/logic by formalizing them in the Agda language. A project I am working on in my free time.
Poly ⭐ 5
Hindley-Milner type system with extensible records and variants, implemented in Go
Two Level ⭐ 5
Two-Level Type Theory
Hott ⭐ 4
Homotopy Type Theory in Python!!!
Category_theory_natural_language_processing_nlp ⭐ 4
List of papers and other resources at the intersection of Category Theory and NLP.
Athena ⭐ 4
Athena is a tool that translates Metis ATP proofs to the Agda programming language to check their correctness.
Stainlessfit ⭐ 4
Stainless directly built on System FR, with standalone front-end
Angler Lang ⭐ 4
The Angler Functional Programming Language
Blog ⭐ 3
A small blog about type theory and mathematics
Mini Hott ⭐ 3
An agda library for univalent type theory
Smarter Contract Lang ⭐ 3
Hott Cheatsheets ⭐ 3
Homotopy type theory cheatsheets to read the HoTT Book
Masters ⭐ 3
Developing a type system for a minimal reversible functional language.
Minimalist Type Theory In Lambda Prolog ⭐ 3
An implementation in Lambda-Prolog of the Minimalist Type Theory
Agda Partial Setoid ⭐ 2
An implementation of partial setiods in agda
Graphql ⭐ 2
personal notes about graphql
Ownership Disciplines ⭐ 2
My own personal list of ownership policies. 🔬 📚 ❓ 🤔 [Work in Progress]
Interesting Papers ⭐ 2
An add space for people to share interesting papers on PLT
Hott Cubicaltt Exercises ⭐ 2
Thinking With Types ⭐ 2
⌨️ Solutions to the exercises of "Thinking With Types" in various programming languages!
Nave ⭐ 2
Prototype for a controlled natural language for mathematical formalizations and verification with type-theoretical semantics.
Typed Ga ⭐ 2
TypeScript Geometric Algebra implementations with proper typing. Autogenerated using Python and TFGA.
Clc Denotational Agda ⭐ 2
Minha monografia II da graduação. Semântica Denotacional para o Lambda Cálculo Computacional em Agda
Hata ⭐ 1
Formalization of topics in mathematics and computer science
Ett To Itt ⭐ 1
Coq formalisation and plugin of a translation from ETT to ITT
Tss ⭐ 1
All Hail Patrou
Lean Tutorial Reference ⭐ 1
[WIP] A newbie's reference solutions to Lean tutorials
Dot Iris.github.io ⭐ 1
GitHub Pages website for https://github.com/Blaisorblade/dot-iris.
Agda Metis ⭐ 1
Metis Prover Reasoning for Propositional Logic in Agda
Agda Projects ⭐ 1
Programming Language Concepts
Blorg ⭐ 1
C-c C-e P p >>=
Study Courses ⭐ 1
All individual tasks, homeworks in courses of Java, C++, Haskell, .... at the University
Ett To Wtt ⭐ 1
Coq formalisation of a translation from (an) extensional type theory to (a) weak type theory
Lttt ⭐ 1
"A Basis for Event-Driven Programming" based on Linear Temporal Type Theory
Fnn ⭐ 1
Experimental Language for Designing of Neural Networks
Stlctalk ⭐ 1
Simple Typed Lambda Calculus Talk
Lttt Report ⭐ 1
Report for "A Basis for Event-Driven Programming" based on Linear Temporal Type Theory
Types And Programming Languages Exercises ⭐ 1
My solutions for the exercises presented in Benjamin C. Pierce's Types and Programming Languages.
Kry ⭐ 1
An experimental typechecker with dependent types, homogeneous path types, and cubical composition
Lambda Calculus ⭐ 1
WIP functional programming language based on Calculus of Inductive Constructions (name to be given)
1-97 of 97 projects

Related Projects

Dependent Types Type Theory Projects (23)
Programming Language Type Theory Projects (19)
Agda Type Theory Projects (18)
Haskell Type Theory Projects (16)
Functional Programming Type Theory Projects (14)
Tex Type Theory Projects (12)
Lambda Calculus Type Theory Projects (11)
Programming Language Dependent Types Type Theory Projects (11)
Coq Type Theory Projects (11)
Rust Type Theory Projects (11)
Type Theory Proof Assistant Projects (10)
Type Theory Theorem Proving Projects (8)
Rust Programming Language Type Theory Projects (6)
Rust Dependent Types Type Theory Projects (6)
Types Type Theory Projects (6)
Idris Type Theory Projects (6)
Agda Dependent Types Type Theory Projects (5)
Type Theory Univalent Foundations Projects (5)
Rust Programming Language Dependent Types Type Theory Projects (5)
Standard Ml Type Theory Projects (5)
Scala Type Theory Projects (5)
Javascript Type Theory Projects (4)
Functional Programming Lambda Calculus Type Theory Projects (4)
Verification Type Theory Projects (4)
Haskell Programming Language Type Theory Projects (4)
Haskell Dependent Types Type Theory Projects (4)
Ocaml Type Theory Projects (4)
Dependent Types Type Theory Proof Assistant Projects (4)
Idris Dependent Types Type Theory Projects (4)
Reflection Type Theory Projects (4)
Type Theory Formalization Projects (4)
Dependent Types Type Theory Theorem Proving Projects (4)
Book Type Theory Projects (4)
Type Theory Agda Library Projects (4)
Mathematics Type Theory Projects (4)
Logic Type Theory Projects (3)
Javascript Functional Programming Type Theory Projects (3)
Verification Dependent Types Type Theory Projects (3)
Verification Dependent Types Type Theory Theorem Proving Projects (3)
Verification Type Theory Theorem Proving Projects (3)
Haskell Programming Language Dependent Types Type Theory Projects (3)
Haskell Type Theory Proof Assistant Projects (3)
Compiler Type Theory Projects (3)
Category Theory Types Projects (2)
Advertising 📦 9
All Projects
Application Programming Interfaces 📦 120
Applications 📦 181
Artificial Intelligence 📦 72
Blockchain 📦 70
Build Tools 📦 111
Cloud Computing 📦 79
Code Quality 📦 28
Collaboration 📦 30
Command Line Interface 📦 48
Community 📦 81
Companies 📦 60
Compilers 📦 60
Computer Science 📦 74
Configuration Management 📦 39
Content Management 📦 167
Control Flow 📦 197
Data Formats 📦 77
Data Processing 📦 266
Data Storage 📦 132
Economics 📦 60
Frameworks 📦 198
Games 📦 122
Graphics 📦 103
Hardware 📦 148
Integrated Development Environments 📦 47
Learning Resources 📦 147
Legal 📦 28
Libraries 📦 119
Lists Of Projects 📦 21
Machine Learning 📦 336
Mapping 📦 61
Marketing 📦 15
Mathematics 📦 55
Media 📦 228
Messaging 📦 97
Networking 📦 304
Operating Systems 📦 84
Operations 📦 120
Package Managers 📦 52
Programming Languages 📦 229
Runtime Environments 📦 96
Science 📦 42
Security 📦 375
Social Media 📦 26
Software Architecture 📦 70
Software Development 📦 68
Software Performance 📦 57
Software Quality 📦 127
Text Editors 📦 45
Text Processing 📦 131
User Interface 📦 310
User Interface Components 📦 465
Version Control 📦 29
Virtualization 📦 68
Web Browsers 📦 38
Web Servers 📦 25
Web User Interface 📦 194
"GitHub" is a registered trademark of GitHub, Inc. Awesome Open Source is not affiliated with GitHub.

All non readme contents or Github based topics or project metadata copyright Awesome Open Source 2018-2021