vix.ing · top · new · best · stats · spec

Quadratic type checking for objective type theory

2021/02/01 by Berg, Benno van den, Besten, Martijn den
#FOS: Computer and information sciences #Logic in Computer Science (cs.LO)

paper · doi:10.48550/arxiv.2102.00905

Abstract

We introduce a modification of standard Martin-Lof type theory in which we eliminate definitional equality and replace all computation rules by propositional equalities. We show that type checking for such a system can be done in quadratic time and that it has a natural homotopy-theoretic semantics.

Related