Statements (59)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:physicist
|
| gptkbp:bfsLayer |
4
|
| gptkbp:bfsParent |
gptkb:Jacob_Lurie
|
| gptkbp:applies_to |
gptkb:Agda
gptkb:CEO Lean proof assistants |
| gptkbp:connects |
algebraic topology
proof theory type systems constructive logic |
| gptkbp:developed_by |
gptkb:Benedikt_Löwe
gptkb:Vladimir_Voevodsky Peter Lumsdaine |
| gptkbp:focuses_on |
foundations of mathematics
|
| gptkbp:has_programs |
computer programming
mathematical logic formal methods |
| https://www.w3.org/2000/01/rdf-schema#label |
Homotopy Type Theory
|
| gptkbp:includes |
higher inductive types
univalence axiom |
| gptkbp:is_considered_as |
a foundation for mathematics
a framework for programming languages a tool for reasoning about types |
| gptkbp:is_criticized_for |
complexity
steep learning curve limited adoption lack of intuitive understanding |
| gptkbp:is_explored_in |
gptkb:academic_conferences
gptkb:Mathematician research papers workshops computer scientists philosophers of mathematics logicians |
| gptkbp:is_influenced_by |
gptkb:Martin-Löf_type_theory
cohomology topos theory homotopy type theory |
| gptkbp:is_promoted_by |
academic institutions
online communities educational platforms research groups |
| gptkbp:is_related_to |
category theory
homotopy type theory and constructive mathematics |
| gptkbp:is_supported_by |
gptkb:National_Science_Foundation
gptkb:Simons_Foundation gptkb:Institute_for_Advanced_Study gptkb:Mathematics_Research_Community |
| gptkbp:is_used_in |
gptkb:computer_science
formal verification |
| gptkbp:provides |
new foundations for mathematics
|
| gptkbp:published_by |
gptkb:2013
|
| gptkbp:related_to |
gptkb:typeface
homotopy theory |
| gptkbp:training |
universities
mathematics departments computer science departments logic departments |