An Implementation of Homotopy Type Theory in Isabelle/Pure

Joshua Chen

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arXiv · 1911.00399

An Implementation of Homotopy Type Theory in Isabelle/Pure

Joshua Chen

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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.

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Joshua Chen. 2019-10-31. An Implementation of Homotopy Type Theory in Isabelle/Pure. https://arxiv.org/abs/1911.00399

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