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gptkbp:instanceOf
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gptkb:logic
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gptkbp:field
|
gptkb:mathematics
computer science
|
|
gptkbp:hasApplication
|
gptkb:logic
proof assistants
formalization of mathematics
computer-verified proofs
|
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gptkbp:hasConcept
|
connections
cofibrations
Kan filling
composition operation
face lattice
glueing
interval object
partial elements
systems of equations
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gptkbp:hasProperty
|
constructive
supports canonicity
supports computation
supports decidable type checking
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|
https://www.w3.org/2000/01/rdf-schema#label
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Cubical Type Theory
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gptkbp:implementedIn
|
gptkb:Cubicaltt
gptkb:RedPRL
gptkb:Cubical_Agda
|
|
gptkbp:introducedIn
|
2014
|
|
gptkbp:notableContributor
|
gptkb:Anders_Mörtberg
gptkb:Bas_Spitters
gptkb:Cyril_Cohen
gptkb:Simon_Huber
gptkb:Thierry_Coquand
|
|
gptkbp:notableFor
|
computational interpretation of homotopy type theory
constructive interpretation of univalence axiom
support for higher inductive types
|
|
gptkbp:openSource
|
gptkb:Cubicaltt
gptkb:RedPRL
gptkb:Cubical_Agda
|
|
gptkbp:publishedIn
|
gptkb:A_Cubical_Type_Theory_(Coquand_et_al.,_2018)
gptkb:Cubical_Type_Theory:_a_constructive_interpretation_of_the_univalence_axiom_(Bezem,_Coquand,_Huber,_2014)
gptkb:Implementing_Univalence_in_Cubical_Type_Theory_(Cohen_et_al.,_2016)
|
|
gptkbp:relatedTo
|
gptkb:Martin-Löf_type_theory
gptkb:dependent_type_theory
gptkb:homotopy_type_theory
gptkb:category_theory
synthetic homotopy theory
|
|
gptkbp:supports
|
higher inductive types
univalence axiom
path types
|
|
gptkbp:bfsParent
|
gptkb:homotopy_type_theory
|
|
gptkbp:bfsLayer
|
5
|