Homotopy type theory

URI: https://gptkb.org/entity/Homotopy_type_theory
GPTKB entity
Statements (55)
Predicate Object
gptkbp:instance_of gptkb:physicist
gptkbp:bfsLayer 4
gptkbp:bfsParent gptkb:Beilinson-Drinfeld_Grassmannian
gptkbp:contains higher inductive types
univalence axiom
gptkbp:developed_by gptkb:Benedikt_Löwe
gptkb:Vladimir_Voevodsky
Peter Lumsdaine
gptkbp:has_programs gptkb:computer_science
gptkb:Mathematician
philosophy of mathematics
https://www.w3.org/2000/01/rdf-schema#label Homotopy type theory
gptkbp:is_influenced_by gptkb:Martin-Löf_type_theory
homotopy type theory and category theory
type theory and logic
gptkbp:is_part_of theoretical computer science
algebraic topology
interactive theorem proving
type-safe programming
mathematical foundations
mathematical logic
formal languages
formal verification tools
mathematical proofs
foundational mathematics
proof theory
formal systems
software verification
logical frameworks
type systems
formal methods
categorical logic
computational logic
proof assistants
programming language theory
proof-carrying code
computational proofs
constructive type theory
type-theoretic foundations
gptkbp:is_related_to gptkb:constructive_mathematics
category theory
gptkbp:is_used_in gptkb:language
formal verification
gptkbp:key dependent types
homotopy equivalence
proofs as programs
computational interpretation
equivalence of types
path spaces
synthetic homotopy theory
type equality
gptkbp:provides foundations for mathematics
gptkbp:published_by gptkb:2013
gptkbp:related_to gptkb:typeface
homotopy theory