Statements (56)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
formal semantics |
| gptkbp:basisFor |
gptkb:Agda
gptkb:Coq gptkb:Lean gptkb:NuPRL gptkb:Idris |
| gptkbp:field |
gptkb:logic
computer science |
| gptkbp:hasAxiom |
gptkb:Sigma-type
constructive logic Pi-type W-type dependent types empty type extensionality axiom (optional) function type identity type inductive types natural numbers type product type propositions as types sum type uniqueness of identity proofs (optional) unit type univalence axiom (in homotopy type theory) universe type |
| gptkbp:hasFeature |
constructive logic
dependent types identity types inductive types universe types |
| https://www.w3.org/2000/01/rdf-schema#label |
Martin-Löf type theory
|
| gptkbp:influenced |
gptkb:homotopy_type_theory
dependently typed programming languages modern proof assistants |
| gptkbp:influencedBy |
constructivism
intuitionistic logic |
| gptkbp:interpretedBy |
gptkb:logic
gptkb:category_theory proofs as programs propositions as types terms as elements types as sets |
| gptkbp:introducedIn |
1970s
|
| gptkbp:namedAfter |
gptkb:Per_Martin-Löf
|
| gptkbp:relatedTo |
gptkb:lambda_calculus
gptkb:Curry–Howard_correspondence gptkb:homotopy_type_theory gptkb:constructive_set_theory gptkb:intuitionistic_type_theory |
| gptkbp:usedIn |
gptkb:programming_language
gptkb:homotopy_type_theory proof assistants |
| gptkbp:bfsParent |
gptkb:logic
|
| gptkbp:bfsLayer |
4
|