Homotopy Type Theory

GPTKB entity

Statements (67)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:abbreviation gptkb:HoTT
gptkbp:application foundations of mathematics
proof assistants
formalization of mathematics
synthetic homotopy theory
computer-verified proofs
gptkbp:developedBy gptkb:Institute_for_Advanced_Study
gptkb:Univalent_Foundations_Program
gptkbp:field gptkb:logic
gptkb:mathematics
computer science
https://www.w3.org/2000/01/rdf-schema#label Homotopy Type Theory
gptkbp:influenced gptkb:Agda
gptkb:Coq
gptkb:Lean
gptkb:synthetic_mathematics
gptkb:univalent_foundations
proof assistants
cubical type theory
gptkbp:influencedBy gptkb:logic
gptkb:Martin-Löf_type_theory
gptkb:category_theory
intuitionistic logic
homotopy theory
gptkbp:notableEvent gptkb:Univalent_Foundations_Program_2012
2012
gptkbp:notableIdea higher inductive types
identity types
propositions as types
synthetic homotopy theory
univalence axiom
gptkbp:notablePerson gptkb:Michael_Warren
gptkb:Robert_Harper
gptkb:Steve_Awodey
gptkb:Vladimir_Voevodsky
gptkb:Anders_Mörtberg
gptkb:Bas_Spitters
gptkb:Daniel_Licata
gptkb:Michael_Shulman
gptkb:Peter_LeFanu_Lumsdaine
gptkb:Simon_Huber
gptkb:Andrej_Bauer
gptkb:Peter_Aczel
gptkb:Peter_Lumsdaine
gptkb:Thorsten_Altenkirch
gptkb:Emily_Riehl
gptkb:Dan_Licata
gptkb:Carlo_Angiuli
gptkb:Chris_Kapulkin
gptkb:Christian_Sattler
gptkb:Egbert_Rijke
gptkb:Kristina_Sojakova
gptkb:Marc_Bezem
gptkb:Nicola_Gambino
gptkb:Ulrik_Buchholtz
gptkbp:notablePlace gptkb:Institute_for_Advanced_Study
gptkbp:notablePublication gptkb:Homotopy_Type_Theory:_Univalent_Foundations_of_Mathematics
2013
gptkbp:relatedTo gptkb:logic
gptkb:category_theory
gptkb:univalent_foundations
homotopy theory
gptkbp:website https://homotopytypetheory.org/
gptkbp:bfsParent gptkb:HoTT_library
gptkb:The_Univalent_Foundations_Program
gptkbp:bfsLayer 6