Type Theory

A topic within Foundations & Logic, itself one of 13 topics in that field and part of Mathematics.

Reading on Type Theory

2 works

Essay2006

Type Theory (Stanford Encyclopedia of Philosophy)

Thierry Coquand

Traces type theory from Russell's device for blocking his own paradox through Martin-Loef's constructive type theory, arguing that treating proofs and programs as the same kind of object is the theory's real payoff.

link checked 17 Sept 2026

Mathematics · Foundations & Logic

FreeIntermediate

Book2013

Homotopy Type Theory: Univalent Foundations of Mathematics

The Univalent Foundations Program

Proposes Voevodsky's univalence axiom, which identifies equivalent types, as a new foundation for mathematics in which homotopy theory and formal proof become the same subject.

link checked 17 Sept 2026

Mathematics · Foundations & Logic

FreeAdvanced

Reading on Type Theory

Type Theory (Stanford Encyclopedia of Philosophy)

Homotopy Type Theory: Univalent Foundations of Mathematics

Other topics in Foundations & Logic