dependent-types

There are 49 repositories under dependent-types topic.

coq / coq
Coq is a formal proof management system. 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.
proof-assistant coq theorem-proving dependent-types
Language:OCaml 4725
Kind1
HigherOrderCO / Kind1
A next-gen functional language
dependent-types formality functional-programming lambda-calculus moonad proof-language proof-languages theorem-prover type-theory
Language:Rust 3529
FStarLang / FStar
A Proof-oriented Programming Language
programming-language verification dependent-types smt theorem-proving proof-assistant ocaml f-sharp c-language fstar
Language:F* 2654
idris-lang / Idris2
A purely functional programming language with first class types
compiler dependent-types hacktoberfest
Language:Idris 2464
agda / agda
Agda is a dependently typed programming language / interactive theorem prover.
agda dependent-types programming-language proof-assistant type-theory
Language:Haskell 2422
leanprover / lean3
Lean Theorem Prover
dependent-types lean programming-language theorem-proving type-theory verification
Language:C++ 2145
magmide / magmide
A dependently-typed proof language intended to make provably correct bare metal code possible for working software engineers.
formal-verification formal-methods type-safety systems-programming dependent-types verification logic coq
Language:Coq 806
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 610
eashanhatti / peridot
A fast functional language based on two level type theory
dependent-types systems-language programming-language type-theory haskell proglangs-discord
Language:Haskell 388
cedille / cedille
Cedille, a dependently typed programming languages based on the Calculus of Dependent Lambda Eliminations
dependent-types programming-language lambda-calculus dependent-intersections
Language:Agda 363
DimaSamoz / mezzo
A Haskell library for typesafe music composition
dependent-types haskell haskell-library midi music-composition music-notation type-level-programming
Language:Haskell 351
newca12 / awesome-rust-formalized-reasoning
An exhaustive list of all Rust resources regarding automated or semi-automated formalization efforts in any area, constructive mathematics, formal algorithms, and program verification.
formal-verification prover automated-theorem-provers theorem-prover reasoning logic constructive-mathematics dependent-types theorem-proving proof-assistants rust
284
Deducteam / lambdapi
Proof assistant based on the λΠ-calculus modulo rewriting
proof-checker proof-assistant rewriting dependent-types logical-framework proof-translator
Language:OCaml 266
aya-prover / aya-dev
A proof assistant and a dependently-typed language
aya dependent-types proof-assistant
Language:Java 265
yeslogic / fathom
🚧 (Alpha stage software) A declarative data definition language for formally specifying binary data formats. 🚧
data-description-language binary-format language statically-typed declarative parser rust dsl binary-data type-system type-checker dependent-types dependent-record-types compiler programming-language
Language:Rust 259
poprc
HackerFoo / poprc
A Compiler for the Popr Language
language popr popr-compiler compiler concatenative functional logic-programming non-deterministic partial-evaluators dependent-types supercompiler linear-logic verilog high-level-synthesis
Language:C 240
silt-lang / silt
An in-progress fast, dependently typed, functional programming language implemented in Swift.
compiler dependent-types functional-programming swift
Language:Swift 238
mattam82 / Coq-Equations
A function definition package for Coq
coq programming-language dependent-types
Language:Coq 219
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 216
lukaszcz / coqhammer
CoqHammer: An Automated Reasoning Hammer Tool for Coq - Proof Automation for Dependent Type Theory
coq hammer automation proof-search theorem-prover verification dependent-types
Language:OCaml 210
Beluga-lang / Beluga
Contextual types meet mechanized metatheory!
beluga ocaml dependent-types hoas lf
Language:OCaml 183
ditto / ditto
A Super Kawaii Dependently Typed Programming Language
dependent-types programming-language proof-assistant type-theory
Language:Haskell 171
brendanzab / language-garden
A garden of small programming language implementations 🪴
compilers dependent-types elaboration programming-languages compilation l-systems typechecking
Language:OCaml 162
ilyasergey / pnp
Lecture notes for a short course on proving/programming in Coq via SSReflect.
coq hoare-logic dependent-types tutorial ssreflect mathcomp
Language:Coq 154
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 121
owo-lang / minitt-rs
Dependently-typed lambda calculus, Mini-TT, extended and implemented in Rust
type-theory dependent-types programming-language
Language:Rust 113
ilya-klyuchnikov / lambdapi
Dependently Typed Lambda Calculus in Haskell
dependent-types programming-language
Language:Haskell 111
LSTS
andrew-johnson-4 / LSTS
Large Scale Type Systems (programming language)
ast type-checking theorem-prover rust category-theory error-reporting lexer lint parser lambda-calculus lambda-calculus-interpreter assisted-reasoning proof-assistant dependent-types refinement-types compiler language lsts
Language:Rust 105
leopiney / tensor-safe
A Haskell framework to define valid deep learning models and export them to other frameworks like TensorFlow JS or Keras.
deep-learning ai haskell-library dependent-types functional-programming haskell machine-learning
Language:Haskell 101
owo-lang / voile-rs
Dependently-typed row-polymorphic programming language, evolved from minitt-rs
dependent-types extensible programming-language type-theory
Language:Rust 94
cicada-lang / cicada-plct
Cicada Language (PLCT little team)
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 92
EugeneLoy / coq_jupyter
Jupyter kernel for Coq
coq jupyter kernel jupyter-kernels jupyter-notebook jupyter-extension proof-assistant theorem-proving dependent-types python-pa
Language:Python 92
brendanzab / rust-nbe-for-mltt
Normalization by evaluation for Martin-Löf Type Theory with dependent records
rust dependent-types normalization-by-evaluation bidirectional-typechecking semantic-typechecking type-theory dependent-record-types dependent-records debruijn-indices type-system type-checker unification type-inference
Language:Rust 90
Lysxia / first-class-families
First-class type families
types haskell dependent-types
Language:Haskell 85
jonsterling / dreamtt
A pedagogic implementation of abstract bidirectional elaboration for dependent type theory.
dependent-types tutorial elaboration
Language:OCaml 82