intuitionistic type theory

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:logic formal semantics
gptkbp:alsoKnownAs	gptkb:Martin-Löf_type_theory
gptkbp:basedOn	intuitionistic logic
gptkbp:developedBy	gptkb:Per_Martin-Löf
gptkbp:field	gptkb:logic computer science
gptkbp:hasAxiom	universe axiom Pi-type axiom Sigma-type axiom W-type axiom identity type axiom
https://www.w3.org/2000/01/rdf-schema#label	intuitionistic type theory
gptkbp:influenced	gptkb:Agda gptkb:Coq gptkb:Idris gptkb:Homotopy_type_theory
gptkbp:introducedIn	1970s
gptkbp:publishedIn	gptkb:An_intuitionistic_theory_of_types:_predicative_part_(1972) gptkb:Constructive_mathematics_and_computer_programming_(1982)
gptkbp:relatedTo	gptkb:lambda_calculus gptkb:Curry–Howard_correspondence constructivism intuitionism
gptkbp:supports	dependent types identity types inductive types constructive proofs universes
gptkbp:usedIn	programming language theory proof assistants
gptkbp:bfsParent	gptkb:Martin-Löf_type_theory gptkb:Per_Martin-Löf gptkb:dependent_type_theory
gptkbp:bfsLayer	5