type-theory

There are 42 repositories under type-theory topic.

steshaw / plt
Programming Language Theory λΠ
programming-languages type-theory functional-programming category-theory logic proof-theory
Language:CSS 5124
Kind
HigherOrderCO / Kind
A next-gen functional language
dependent-types formality functional-programming lambda-calculus moonad proof-language proof-languages theorem-prover type-theory
Language:Rust 3428
sdiehl / write-you-a-haskell
Building a modern functional compiler from first principles. (http://dev.stephendiehl.com/fun/)
haskel compiler book evaluation lambda-calculus type type-checking type-system pdf-book functional-programming functional-language hindley-milner type-inference type-theory intermediate-representation
Language:Haskell 3308
agda / agda
Agda is a dependently typed programming language / interactive theorem prover.
agda dependent-types programming-language proof-assistant type-theory
Language:Haskell 2367
leanprover / lean3
Lean Theorem Prover
dependent-types lean programming-language theorem-proving type-theory verification
Language:C++ 2137
HoTT / Coq-HoTT
A Coq library for Homotopy Type Theory
homotopy-type-theory type-theory univalent-foundations
Language:Coq 1213
pikelet-lang / pikelet
A friendly little systems language with first-class types. Very WIP! 🚧 🚧 🚧
dependent-types typechecker type-theory programming-language type-system bidirectional-typechecking rust dependent-record-types dependent-records systems-language systems-programming compiler
Language:Rust 607
mortberg / cubicaltt
Experimental implementation of Cubical Type Theory
cubical-type-theory homotopy-type-theory type-theory univalent-foundations
Language:Haskell 555
eashanhatti / peridot
A fast functional language based on two level type theory
dependent-types haskell proglangs-discord programming-language systems-language type-theory
Language:Haskell 389
rntz / datafun
Research on integrating datalog & lambda calculus via monotonicity types
programming-language datalog query monotonicity semilattices type-theory compiler
Language:TeX 375
typedefs / typedefs
Programming language agnostic type construction language based on polynomials.
type-definitions serialization-library types f-algebras type-theory category-theory serialization marshalling
Language:Idris 364
stepchowfun / proofs
My personal repository of formally verified mathematics.
coq formal-verification interactive-theorem-proving proof-assistant type-theory
Language:Coq 285
RedPRL / sml-redprl
The People's Refinement Logic
cubical-type-theory nuprl proof-assistant type-theory
Language:Standard ML 226
martinescardo / HoTT-UF-Agda-Lecture-Notes
Lecture notes on univalent foundations of mathematics with Agda
agda dependent-types function-extensionality homotopy-type-theory hott-uf lecture-notes martin-lof-type-theory mltt propositional-truncation type-theory univalence-axiom univalent-foundations univalent-mathematics univalent-type-theory
Language:Agda 212
martinescardo / TypeTopology
Logical manifestations of topological concepts, and other things, via the univalent point of view.
univalent-foundations agda homotopy-type-theory type-theory constructive-mathematics compact-type totally-separated-type injective-type ordinal searchable-set univalent-mathematics
Language:Agda 211
RedPRL / cooltt
😎TT
cubical-type-theory proof-assistant type-theory homotopy-type-theory ocaml ocaml-program
Language:OCaml 208
RedPRL / redtt
"Between the darkness and the dawn, a red cube rises!": a proof assistant for cartesian cubical type theory
cubical-type-theory ocaml proof-assistant type-theory
Language:OCaml 199
lazear / types-and-programming-languages
Exercises from Benjamin Pierce's "Types and Programming Languages" textbook + extras!
lambda-calculus programming-languages tapl type-theory types types-and-programming-languages
Language:Rust 179
paarthenon / variant
Variant types in TypeScript
type-theory variants discriminated-unions dispatching redux flux variant typescript union algebraic-data-type adt
Language:TypeScript 178
ditto / ditto
A Super Kawaii Dependently Typed Programming Language
dependent-types programming-language proof-assistant type-theory
Language:Haskell 171
err0r500 / foundational-knowledge-for-programmers
List of resources about foundational knowledge for programmers (supposed to last a few decades)
awesome awesome-list computer-science computer-architecture programming-languages programming-paradigms algorithms algorithms-and-data-structures software-architecture category-theory type-theory proof-theory cryptography linear-algebra networking
163
advancedresearch / path_semantics
A research project in path semantics, a re-interpretation of functions for expressing mathematics
mathematical-logic research type-theory
Language:Rust 157
cicada-lang / cicada-solo
Cicada Language (solo version)
programming-language dependent-type-theory language repl dependent-types dependent-record-types theorem-prover prover interactive-theorem-proving type-theory type-system cicada
Language:TypeScript 126
ilya-klyuchnikov / ttlite
A SuperCompiler for Martin-Löf's Type Theory
supercompilation programming-language dependent-types type-theory agda idris coq
Language:Scala 120
owo-lang / minitt-rs
Dependently-typed lambda calculus, Mini-TT, extended and implemented in Rust
type-theory dependent-types programming-language
Language:Rust 113
cicada-lang / cicada
Cicada Language
cicada dependent-record-types dependent-type-theory dependent-types interactive-theorem-proving language programming-language prover repl theorem-prover type-system type-theory
Language:TypeScript 93
owo-lang / voile-rs
Dependently-typed row-polymorphic programming language, evolved from minitt-rs
dependent-types extensible programming-language type-theory
Language:Rust 93
brendanzab / rust-nbe-for-mltt
Normalization by evaluation for Martin-Löf Type Theory with dependent records
bidirectional-typechecking debruijn-indices dependent-record-types dependent-records dependent-types normalization-by-evaluation rust semantic-typechecking type-checker type-inference type-system type-theory unification
Language:Rust 90
TheoWinterhalter / formal-type-theory
Formalising Type Theory in a modular way for translations between type theories
formalization reflection type-theory
Language:Coq 90
owo-lang / narc-rs
(WIP) Dependently-typed programming language with Agda style dependent pattern matching
dependent-types pattern-matching programming-language type-theory
Language:Rust 79
bor0 / gidti
Book: Introduction to Dependent Types with Idris
books dependent-types idris types type-theory theorem-proving lambda-calculus
73
molikto / mlang
Towards changing things and see if it proofs
cubical-type-theory dependent-types proof-assistant type-theory
Language:Scala 60
madnight / awesome-category-theory
A curated list of awesome Category Theory resources.
applicative awesome-list category-theory category-theory-for-programmers functors monads natural-transformations applied-category-theory category monoids functor abstract-algebra type-theory mathematics
50
ice1000 / guest0x0
Neon lights in the night tonight and stars that shine in the open sky
type-theory
Language:Java 41
jbrkr / Category_Theory_Natural_Language_Processing_NLP
List of papers and other resources at the intersection of Category Theory and NLP.
category-theory natural-language-processing nlp type-theory
41
mr-ohman / logrel-mltt
A Logical Relation for Martin-Löf Type Theory in Agda
agda type-theory
Language:Agda 40