Ecosyste.ms: Awesome
An open API service indexing awesome lists of open source software.
Projects in Awesome Lists tagged with homotopy-type-theory
A curated list of projects in awesome lists tagged with homotopy-type-theory .
https://github.com/HoTT/Coq-HoTT
A Coq library for Homotopy Type Theory
homotopy-type-theory type-theory univalent-foundations
Last synced: 03 Nov 2024
https://github.com/hott/coq-hott
A Coq library for Homotopy Type Theory
homotopy-type-theory type-theory univalent-foundations
Last synced: 19 Dec 2024
https://github.com/mortberg/cubicaltt
Experimental implementation of Cubical Type Theory
cubical-type-theory homotopy-type-theory type-theory univalent-foundations
Last synced: 21 Dec 2024
https://github.com/the1lab/1lab
A formalised, cross-linked reference resource for mathematics done in Homotopy Type Theory
Last synced: 12 Nov 2024
https://github.com/UniMath/agda-unimath
The agda-unimath library
category-theory commutative-algebra finite-groups graph-theory group-theory higher-group-theory homotopy-type-theory number-theory order-theory orthogonal-factorization-systems ring-theory species structured-types synthetic-homotopy-theory trees type-theories univalent-combinatorics univalent-foundations univalent-mathematics universal-algebra
Last synced: 20 Nov 2024
https://github.com/redprl/cooltt
😎TT
cubical-type-theory homotopy-type-theory ocaml ocaml-program proof-assistant type-theory
Last synced: 18 Dec 2024
https://github.com/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
Last synced: 12 Nov 2024
https://github.com/rzk-lang/rzk
An experimental proof assistant based on a type theory for synthetic ∞-categories.
category-theory haskell homotopy-type-theory proof-assistant
Last synced: 21 Dec 2024
https://github.com/martinescardo/TypeTopology
Logical manifestations of topological concepts, and other things, via the univalent point of view.
agda compact-type constructive-mathematics homotopy-type-theory injective-type ordinal searchable-set totally-separated-type type-theory univalent-foundations univalent-mathematics
Last synced: 20 Nov 2024
https://github.com/forked-from-1kasper/ground_zero
Ground Zero: Lean 4 HoTT Library
ctt cubical-type-theory homotopy-type-theory hott lean lean4 leanprover math
Last synced: 10 Nov 2024
https://github.com/jaycech3n/isabelle-hott
An experimental implementation of homotopy type theory in the interactive proof assistant Isabelle
homotopy-type-theory interactive-theorem-proving isabelle type-theory
Last synced: 02 Dec 2024
https://github.com/annenkov/two-level
Two-Level Type Theory
formalization homotopy-type-theory lean proof-assistant type-theory
Last synced: 06 Nov 2024
https://github.com/artagnon/bonak
🧊 An indexed construction of semi-simplicial and semi-cubical types
coq cubical-type-theory formalization homotopy-type-theory paper research-project
Last synced: 27 Oct 2024
https://github.com/jaredloomis/idris-hott
Homotopy Type Theory proofs in Idris
dependent-types homotopy-type-theory idris type-theory
Last synced: 16 Nov 2024
https://github.com/redprl/kado
🧊 kado カド: Cofibrations in Cartesian Cubical Type Theory
cubical-type-theory homotopy-type-theory ocaml ocaml-library proof-assistant type-theory
Last synced: 10 Nov 2024
https://github.com/forked-from-1kasper/anders
Anders: Cubical Type Checker
ctt cubical-type-theory dependent-type-theory dependent-types homotopy-type-theory hott mltt proof-assistant theorem-prover type-checker type-system
Last synced: 10 Nov 2024
https://github.com/l-tchen/finitesets
Fintie Sets in Cubical Agda
agda agda-library cubical-type-theory homotopy-type-theory
Last synced: 17 Dec 2024
https://github.com/annenkov/trace-monoids
Trace monoids in Cubical Agda
concurrency homotopy-type-theory monoids partially-commutative-monoids trace-monoids
Last synced: 06 Nov 2024
https://github.com/forked-from-1kasper/bravo
Castle Bravo: Experimental HoTT Implementation
dependent-types homotopy-type-theory hott hott-uf mltt proof-assistant theorem-prover type-checker univalent-foundations
Last synced: 10 Nov 2024
https://github.com/vita-group/sparseadv_homotopy
[ICML 2021 Long Talk] "Sparse and Imperceptible Adversarial Attack via a Homotopy Algorithm" by Mingkang Zhu, Tianlong Chen, Zhangyang Wang
adversarial-attacks adversarial-robustness homotopy-algorithm homotopy-type-theory sparse-adversarial
Last synced: 16 Nov 2024
https://github.com/ncfavier/cubical-experiments
Experiments with Cubical Agda
agda cubical-type-theory homotopy-type-theory
Last synced: 07 Nov 2024
https://github.com/gergoerdi/cubical-freemonoids
Free monoids take a price HIT
agda beamer cubical-type-theory homotopy-type-theory monoid pandoc-markdown
Last synced: 16 Nov 2024
https://github.com/lebrancworkshop/lebranc-learn-functional-programming
I'm learning a Functional Programming by learning its pure math concepts and apply it on functional language like Haskell, Clojure, Elixir, etc.
abstract-algebra category-theory clojure elixir fsharp functional-programming haskell homotopy-type-theory javascript lambda-calculus mathematics pure-mathematics racket scala theoretical-computer-science theory-of-computation type-theory typescript
Last synced: 18 Nov 2024
https://github.com/smimram/div2
An Agda formalization of "division by 2" in classical ZF without choice.
agda axiom-of-choice classical-logic division homotopy-type-theory
Last synced: 18 Dec 2024
https://github.com/gergoerdi/hott-exercise
HoTT exercise for my Haskell.SG meetup talk on HoTT and CTT
agda homotopy-type-theory univalence
Last synced: 16 Nov 2024
https://github.com/ReubenHillyard/beta
Dependently-typed programming language.
cubical-type-theory dependent-types homotopy-type-theory programming-language
Last synced: 15 Nov 2024
https://github.com/jaycech3n/internal-diagrams
WIP: Reedy fibrant diagrams in models of type theory
categories-with-families category-theory homotopy-type-theory semisimplicial-types type-theory
Last synced: 02 Dec 2024
https://github.com/satyendrabanjare/atp-proofs
Collection of explainatory example proofs for popular proof assistants.
coq homotopy-type-theory isabelle-hol proof-assistant proof-of-concept type-theory typesystems
Last synced: 08 Nov 2024
https://github.com/forked-from-1kasper/hurricane
Hurricane: HoTT-I Type System
dependent-type-theory dependent-types homotopy-type-theory hott hott-uf mltt proof-assistant theorem-prover type-checker
Last synced: 10 Nov 2024
https://github.com/o-morikawa/highercup
Symbolic manipulation of Steenrod higher cups
cup cup-product higher-category-theory higher-cup homotopy homotopy-type-theory steenrod symbolic-mani
Last synced: 17 Dec 2024
https://github.com/rzk-lang/rzk-project-template
Template for a formalisation project in rzk proof assistant.
category-theory formalisation homotopy-type-theory
Last synced: 07 Dec 2024