Statements (59)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:typeface
|
| gptkbp:bfsLayer |
5
|
| gptkbp:bfsParent |
gptkb:Homotopy_type_theory
gptkb:Homotopy_Type_Theory |
| gptkbp:applies_to |
gptkb:software_framework
|
| gptkbp:based_on |
Curry-Howard correspondence
|
| gptkbp:connects |
gptkb:collection
|
| gptkbp:developed_by |
gptkb:Per_Martin-Löf
|
| gptkbp:enables |
proofs of program correctness
|
| gptkbp:has_programs |
formal verification
|
| gptkbp:has_variants |
extensional type theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Martin-Löf type theory
|
| gptkbp:includes |
dependent types
|
| gptkbp:introduced |
1970s
|
| gptkbp:is |
a form of intuitionistic type theory
|
| gptkbp:is_compatible_with |
category theory
|
| gptkbp:is_considered_as |
a foundational system for computer science
a framework for programming |
| gptkbp:is_explored_in |
philosophy of mathematics
formal methods computational logic programming language theory category theory research mathematical logic research theoretical computer science research type theory research computational mathematics research constructive mathematics research constructive type theory research formal logic research formal specification research foundational mathematics research homotopy type theory research interactive theorem proving research mathematical foundations research program verification research proof assistants research software verification research type-safe programming research |
| gptkbp:is_implemented_in |
gptkb:Agda
gptkb:CEO gptkb:Idris Lean |
| gptkbp:is_influenced_by |
constructive logic
Martin-Löf's work |
| gptkbp:is_part_of |
theoretical computer science
foundational mathematics |
| gptkbp:is_related_to |
proof theory
type systems homotopy type theory |
| gptkbp:is_studied_in |
mathematical logic
|
| gptkbp:is_used_for |
formal proofs
|
| gptkbp:is_used_in |
interactive theorem proving
type-safe programming languages |
| gptkbp:provides |
a foundation for mathematics
|
| gptkbp:related_to |
gptkb:constructive_mathematics
|
| gptkbp:supports |
programming language design
|
| gptkbp:training |
computer science courses
|
| gptkbp:used_in |
proof assistants
|