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authorJosh Chen2019-10-29 11:51:26 +0100
committerGitHub2019-10-29 11:51:26 +0100
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An experimental implementation of [homotopy type theory](https://en.wikipedia.org/wiki/Homotopy_type_theory) in [Isabelle](https://isabelle.in.tum.de/).
+**Update [15 Oct 2019]**:
+Convenience and readability of formalizations in the library is taking a hit as we move to the limits of the currently available functionality in Isabelle, so for the moment development has moved [here](https://github.com/jaycech3n/Isabelle-Spartan), in order to first build more necessary automation and improve the framework.
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### Usage
The default entry point for the logic is `HoTT`, import this to load everything else.
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Work is slowly ongoing to develop the logic into a fully-featured framework in which one can formulate and prove mathematical statements, in the style of the univalent foundations school.
While Isabelle has provided support for object logics based on Martin-Löf type theory since the beginning, these have largely been ignored in favor of Isabelle/HOL.
Thus this project is also an experiment in creating a viable framework, based on dependent type theory, inside the simple type theoretic foundations of Isabelle/Pure.
-**Update (15 Oct 2019)**: Framework development currently [here](https://github.com/jaycech3n/Isabelle-Spartan).
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+A writeup of some theoretical considerations in this implementation is in my [Masters thesis](https://joshchen.io/assets/ms_thesis_submitted.pdf).
### License