cubical-type-theory

There are 3 repositories under cubical-type-theory topic.

• mortberg / cubicaltt

  Experimental implementation of Cubical Type Theory

  cubical-type-theoryhomotopy-type-theorytype-theoryunivalent-foundations
  Language:Haskell 564

• agda / cubical

  An experimental library for Cubical Agda

  agdacubical-type-theorylibrary
  Language:Agda 438

• RedPRL / sml-redprl

  The People's Refinement Logic

  nuprlproof-assistanttype-theorycubical-type-theory
  Language:Standard ML 227

• RedPRL / cooltt

  😎TT

  cubical-type-theoryproof-assistanttype-theoryhomotopy-type-theoryocamlocaml-program
  Language:OCaml 213

• RedPRL / redtt

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

  cubical-type-theoryproof-assistanttype-theoryocaml
  Language:OCaml 203

• molikto / mlang

  Towards changing things and see if it proofs

  cubical-type-theorydependent-typesproof-assistanttype-theory
  Language:Scala 60

• forked-from-1kasper / ground_zero

  Ground Zero: Lean 4 HoTT Library

  mathcubical-type-theoryctthomotopy-type-theoryhottleanleanproverlean4
  Language:Lean 38

• owo-lang / intellij-dtlc

  IntelliJ plugin for several experimental programming languages here

  intellij-pluginminittowomlpolyrdependent-typescubical-type-theorycubicalttvoileredprl
  Language:Kotlin 34

• artagnon / bonak

  🧊 An indexed construction of semi-simplicial and semi-cubical types

  cubical-type-theoryresearch-projectpaperformalizationcoqhomotopy-type-theory
  Language:TeX 26

• kcsmnt0 / quotient

  quotient types in cubical Agda

  cubical-type-theoryhomotopy-type-theoryquotient-types
  Language:Agda 22

• marcinjangrzybowski / cubeViz2

  agdacubical-agdacubical-type-theoryhaskellvrwebgl2proof-asistantvebxr
  Language:Haskell 21

• TOTBWF / cubical-categories

  Category theory formalized in cubical agda

  category-theorycubical-type-theoryagda
  Language:Agda 20

• RedPRL / kado

  🧊 kado カド: Cofibrations in Cartesian Cubical Type Theory

  type-theoryproof-assistantcubical-type-theoryocamlhomotopy-type-theoryocaml-library
  Language:OCaml 19

• forked-from-1kasper / anders

  Anders: Cubical Type Checker

  dependent-typesdependent-type-theoryproof-assistantcubical-type-theoryctthomotopy-type-theoryhottmltttheorem-provertype-checkertype-system
  Language:OCaml 18

• groupoid / anders

  🧊 Модальний гомотопічний верифікатор математики

  mlttdependent-typescubical-type-theorytheorem-proverproof-assistanttype-checkertype-system
  Language:OCaml 18

• fsestini / tt-in-cubical

  Type Theory in Type Theory using Cubical Agda

  type-theorycubical-type-theoryagda
  Language:Agda 12

• L-TChen / FiniteSets

  Fintie Sets in Cubical Agda

  homotopy-type-theoryagdaagda-librarycubical-type-theory
  Language:Agda 12

• rahulc29 / realizability

  Experiments with Realizability in Univalent Type Theory

  category-theorycubical-type-theoryrealizabilityunivalent-foundationsunivalent-mathematicsunivalent-type-theory
  Language:Agda 10

• JonasHoefer / poset-type-theory

  Experimental implementation of a Cubical Type Theory modeled by presheaves over posets

  cubical-type-theoryhomotopy-type-theorytype-theory
  Language:Haskell 7

• ncfavier / cubical-experiments

  Experiments with Cubical Agda

  agdacubical-type-theoryhomotopy-type-theory
  Language:Agda 5

• vikraman / generalised-species

  Espèces généralisées de structures sur les groupoïdes

  agdacategory-theorycubical-type-theorylinear-logic
  Language:Agda 5

• wkolowski / Type-Theory-Wishlist

  Personal research notes

  type-theoryhomotopy-type-theorycubical-type-theorydependent-typesproof-assistantnominal-setterm-rewritingprogramming-languagesfunctional-programming
  Language:Coq 4

• gergoerdi / cubical-freemonoids

  Free monoids take a price HIT

  homotopy-type-theorycubical-type-theoryagdabeamerpandoc-markdownmonoid
  Language:TeX 3

• konn / vscode-redtt-diagnostics

  Diagnostic extension for redtt prover

  redttvscodevscode-extensioncubical-type-theoryhotthomotopy-type-theorytheorem-prover
  Language:TypeScript 3

• ReubenHillyard / beta

  Dependently-typed programming language.

  cubical-type-theorydependent-typeshomotopy-type-theoryprogramming-language
  Language:Rust 1

• ruza-net / kry

  An experimental typechecker with dependent types, homogeneous path types, and cubical composition

  type-theorycubical-type-theory
  Language:Rust 1

• sergey-goncharov / hybrid-agda

  Duration monad and hybrid semantics in cubical Agda

  agdacubical-type-theoryhybrid-systems
  Language:Agda 1

• wrrnhttn / agda-cubical-multidimensional

  Multidimensional data in Cubical Agda.

  agdacubical-type-theory
  Language:Agda 0

• InnovativeInventor / proof-repair-quotients

  Artifact for "Proof Repair across Quotient Type Equivalences" paper (under submission)

  cubical-agdacubical-type-theoryproof-engineeringproof-repair
  Language:Agda