19 янв. 2023 г. · The idea is that the identity type is always an “extensional” notion of equality (although it can be more or less extensional, depending on ...

5 июл. 2022 г. · Intensional type theory is the flavor of type theory in which identity types are not necessarily propositions (that is, (-1)-truncated).

Intensional type theory (ITT) is a Martin-Löf type theory. At its core, ITT is the type theory equipped with Π, Σ and intensional identity types. ITT is a ...

The topic of this work is the investigation of Intensional Type Theory or Intensional Construc- tive Set Theory (ICST) introduced by Per Martin-Löf as a ...

Intuitionistic type theory is a type theory and an alternative foundation of mathematics. Intuitionistic type theory was created by Per Martin-Löf, ... Type theory · Judgements · Categorical models of type...

5 дек. 2023 г. · Intensional Type Theory is a formal system that combines elements of type theory and logic. It was developed by Per Martin-Löf as an extension ...

Martin-Löf's Extensional Type Theory (ETT) has a straighforward semantics in the category Set of sets and functions and actually in any locally cartesian ...

29 мая 2024 г. · We develop realizability models of intensional type theory, based on groupoids, wherein realizers themselves carry non-trivial (non-discrete).

159,99 $ Extensional Constructs in Intensional Type Theory presents a novel approach to the treatment of equality in Martin-Loef type theory (a basis for important ...

We propose an extension of intensional type theory with rules for forming fixed points of guarded recursive functions. Guarded recursive types can be formed ...