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@@ -4,19 +4,19 @@ An experimental implementation of [homotopy type theory](https://en.wikipedia.or ### Usage -The default entry point for the logic is `HoTT`, import this to load everything else. +Isabelle/HoTT is compatible with Isabelle2019. +To use, add the Isabelle/HoTT folder path to `.isabelle/Isabelle2019/ROOTS` (on Mac/Linux/cygwin installations): -You can also load theories selectively, in this case, importing `HoTT_Base` is required and `HoTT_Methods` is helpful. +``` +echo <path/to/Isabelle/HoTT> >> ~/.isabelle/Isabelle2019/ROOTS +``` ### What (and why) is this? Isabelle/HoTT is a first attempt at bringing [homotopy type theory](https://en.wikipedia.org/wiki/Homotopy_type_theory) to the [Isabelle](https://isabelle.in.tum.de/) interactive theorem prover. -In its current state it is best viewed as a formalization of HoTT within Isabelle/Pure, largely following the development of the theory in the [Homotopy Type Theory book](https://homotopytypetheory.org/book/). +It largely follows the development of the theory in the [Homotopy Type Theory book](https://homotopytypetheory.org/book/). 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. -### License - -GNU LGPLv3 |