Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:formal_semantics
gptkb:logic |
| 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 |
| 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 gptkb:constructivism intuitionism |
| gptkbp:supports |
dependent types
identity types inductive types constructive proofs universes |
| gptkbp:usedIn |
programming language theory
proof assistants |
| gptkbp:bfsParent |
gptkb:Formal_Logic
|
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
intuitionistic type theory
|