English

An Implementation of Homotopy Type Theory in Isabelle/Pure

Logic in Computer Science 2019-11-04 v1 Logic

Abstract

In this Masters thesis we present an implementation of a fragment of "book HoTT" as an object logic for the interactive proof assistant Isabelle. We also give a mathematical description of the underlying theory of the Isabelle/Pure logical framework, and discuss various issues and design decisions that arise when attempting to encode intensional dependent type theory with universes inside a simple type-theoretic logical foundation.

Keywords

Cite

@article{arxiv.1911.00399,
  title  = {An Implementation of Homotopy Type Theory in Isabelle/Pure},
  author = {Joshua Chen},
  journal= {arXiv preprint arXiv:1911.00399},
  year   = {2019}
}

Comments

Masters thesis