In mathematical logic and computer science, homotopy type theory (HoTT) refers to various lines of development of intuitionistic type theory, based on the ... Homotopy theory · Intuitionistic type theory · Univalent foundations

Homotopy type theory is a new branch of mathematics that combines aspects of several different fields in a surprising way. It is based on a recently discovered ...

8 авг. 2024 г. · As a foundation for mathematics whose basic objects are higher groupoids, homotopy type theory makes visible new foundational axioms. Most of ...

Homotopy type theory is: • a formal system for mathematical constructions and proofs, • in which the basic objects, types, may be regarded as “spaces” or ∞- ...

20 мар. 2011 г. · Homotopy Type Theory refers to a new field of study relating Martin-Löf's system of intensional, constructive type theory with abstract homotopy ...

18 мар. 2015 г. · An object is a point, a proof of equality is a path, a proof that two proofs of equality are "the same" is a homotopy. Practical example in using (homotopy) type theory Formal definition of homotopy type theory Другие результаты с сайта mathoverflow.net

Page 13. Introduction. Homotopy type theory is a new branch of mathematics that combines aspects of several different. fields in a surprising way.

21 дек. 2022 г. · This is an introductory textbook to univalent mathematics and homotopy type theory, a mathematical foundation that takes advantage of the structural nature of ...

Homotopy Type Theory is a new branch of mathematical logic based on a recently discovered connection between topology. (Homotopy theory) and logic (Type ...