{"id":26544716,"url":"https://github.com/HoTT/HoTT","last_synced_at":"2025-03-22T04:01:48.905Z","repository":{"id":38008511,"uuid":"1529601","full_name":"HoTT/Coq-HoTT","owner":"HoTT","description":"A Coq library for Homotopy Type Theory","archived":false,"fork":false,"pushed_at":"2025-01-19T14:18:15.000Z","size":24950,"stargazers_count":1281,"open_issues_count":123,"forks_count":195,"subscribers_count":60,"default_branch":"master","last_synced_at":"2025-01-19T21:15:18.362Z","etag":null,"topics":["homotopy-type-theory","type-theory","univalent-foundations"],"latest_commit_sha":null,"homepage":"http://homotopytypetheory.org/","language":"Coq","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"other","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/HoTT.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE.txt","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2011-03-26T15:59:20.000Z","updated_at":"2025-01-19T20:52:15.000Z","dependencies_parsed_at":"2023-10-24T00:33:04.713Z","dependency_job_id":"169797ad-2cb7-4c4a-9f3a-9b1b90ab8c71","html_url":"https://github.com/HoTT/Coq-HoTT","commit_stats":null,"previous_names":["hott/hott"],"tags_count":21,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/HoTT%2FCoq-HoTT","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/HoTT%2FCoq-HoTT/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/HoTT%2FCoq-HoTT/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/HoTT%2FCoq-HoTT/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/HoTT","download_url":"https://codeload.github.com/HoTT/Coq-HoTT/tar.gz/refs/heads/master","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":244902929,"owners_count":20529115,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["homotopy-type-theory","type-theory","univalent-foundations"],"created_at":"2025-03-22T04:01:47.535Z","updated_at":"2025-03-22T04:01:48.900Z","avatar_url":"https://github.com/HoTT.png","language":"Coq","readme":"[![Github Actions CI][1]][2]\n[![HoTT Zulip chat][3]][4]\n\n[Homotopy Type Theory][5] is an interpretation of\nMartin-Löf’s intensional type theory into abstract homotopy theory.\nPropositional equality is interpreted as homotopy and type isomorphism as\nhomotopy equivalence. Logical constructions in type theory then correspond to\nhomotopy-invariant constructions on spaces, while theorems and even proofs in\nthe logical system inherit a homotopical meaning. As the natural logic of\nhomotopy, type theory is also related to higher category theory as it is used\ne.g. in the notion of a higher topos.\n\nThe HoTT library is a development of homotopy-theoretic ideas in the Coq proof\nassistant. It draws many ideas from Vladimir Voevodsky's [Foundations][6]\nlibrary (which has since been incorporated into the [UniMath][7] library) and\nalso cross-pollinates with the [HoTT-Agda][8] library. See also: [HoTT in\nLean2][9], [Spectral Sequences in Lean2][10], and [Cubical Agda][11].\n\nMore information about this library can be found in:\n\n- _The HoTT Library: A formalization of homotopy type theory in Coq_, Andrej\n  Bauer, Jason Gross, Peter LeFanu Lumsdaine, Mike Shulman, Matthieu Sozeau, Bas\n  Spitters, 2016 [arXiv][12] [CPP17][13]\n\nOther publications related to the library can be found\n[here][14].\n\n# Installation\n\nThe HoTT library is part of the [Coq\nPlatform][15] and can be installed using\nthe installation instructions there.\n\nMore detailed installation instructions are provided in the file\n[INSTALL.md](/INSTALL.md).\n\n# Usage\n\nThe HoTT library can be used like any other Coq library. If you wish to use the\nHoTT library in your own project, make sure to put the following arguments in\nyour `_CoqProject` file:\n\n```\n-arg -noinit\n-arg -indices-matter\n```\n\nFor more advanced use such as contribution see [INSTALL.md](/INSTALL.md).\n\nFor **recommended text editors** see [our recommended editors\nlist](./INSTALL.md#4-editors). Other methods of developing in `coq` will work as\nlong as the correct arguments are passed.\n\n# Contributing\n\nContributions to the HoTT library are very welcome! For style guidelines and\nfurther information, see the file [STYLE.md](/STYLE.md).\n\n# Licensing\n\nThe library is released under the permissive BSD 2-clause license, see the file\n[LICENSE.txt](/LICENSE.txt) for further information. In brief, this means you\ncan do whatever you like with it, as long as you preserve the Copyright\nmessages. And of course, no warranty!\n\n# Wiki\n\nMore information can be found in the [Wiki][22].\n\n\n[1]: https://github.com/HoTT/HoTT/workflows/CI/badge.svg?branch=master\n[2]: https://github.com/HoTT/HoTT/actions?query=workflow%3ACI+branch%3Amaster\n[3]: https://img.shields.io/badge/zulip-join_chat-brightgreen.svg\n[4]: https://hott.zulipchat.com/\n\n[5]: http://homotopytypetheory.org/\n\n[6]: https://github.com/vladimirias/Foundations\n[7]: https://github.com/UniMath/UniMath\n[8]: https://github.com/HoTT/HoTT-Agda\n[9]: https://github.com/leanprover/lean2/tree/master/hott\n[10]: https://github.com/cmu-phil/Spectral\n[11]: https://agda.readthedocs.io/en/v2.6.0.1/language/cubical.html\n\n[12]: https://arxiv.org/abs/1610.04591\n[13]: http://cpp2017.mpi-sws.org/\n[14]: https://github.com/HoTT/HoTT/wiki/Publications-based-on-the-HoTT-library\n[15]: https://github.com/coq/platform/releases\n\n[22]: https://github.com/HoTT/HoTT/wiki","funding_links":[],"categories":["Coq","Math"],"sub_categories":[],"project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2FHoTT%2FHoTT","html_url":"https://awesome.ecosyste.ms/projects/github.com%2FHoTT%2FHoTT","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2FHoTT%2FHoTT/lists"}