{"id":17251322,"url":"https://github.com/copumpkin/categories","last_synced_at":"2026-02-19T14:31:56.766Z","repository":{"id":55791854,"uuid":"1362631","full_name":"copumpkin/categories","owner":"copumpkin","description":"Categories parametrized by morphism equality, in Agda","archived":false,"fork":false,"pushed_at":"2019-08-09T16:18:40.000Z","size":791,"stargazers_count":152,"open_issues_count":0,"forks_count":24,"subscribers_count":13,"default_branch":"master","last_synced_at":"2025-10-13T07:17:27.303Z","etag":null,"topics":["agda","category-theory"],"latest_commit_sha":null,"homepage":"","language":"Agda","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/copumpkin.png","metadata":{"files":{"readme":"README","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null}},"created_at":"2011-02-13T19:31:26.000Z","updated_at":"2025-08-18T14:55:59.000Z","dependencies_parsed_at":"2022-08-15T07:01:24.763Z","dependency_job_id":null,"html_url":"https://github.com/copumpkin/categories","commit_stats":null,"previous_names":[],"tags_count":0,"template":false,"template_full_name":null,"purl":"pkg:github/copumpkin/categories","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/copumpkin%2Fcategories","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/copumpkin%2Fcategories/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/copumpkin%2Fcategories/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/copumpkin%2Fcategories/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/copumpkin","download_url":"https://codeload.github.com/copumpkin/categories/tar.gz/refs/heads/master","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/copumpkin%2Fcategories/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":286080680,"owners_count":29618276,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2026-02-19T13:04:20.082Z","status":"ssl_error","status_checked_at":"2026-02-19T13:03:33.775Z","response_time":117,"last_error":"SSL_connect returned=1 errno=0 peeraddr=140.82.121.6:443 state=error: unexpected eof while reading","robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":false,"can_crawl_api":true,"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":["agda","category-theory"],"created_at":"2024-10-15T06:50:54.357Z","updated_at":"2026-02-19T14:31:56.733Z","avatar_url":"https://github.com/copumpkin.png","language":"Agda","funding_links":[],"categories":["Table of contents","Software Libraries"],"sub_categories":["Software libraries"],"readme":"This library is **obsolete** and does not work with newer versions of Agda. It sort-of works with 2.5.2, but less and less so afterwards. It is completely broken from 2.6 onwards.\n\nUsers should instead try https://github.com/agda/agda-categories. It is not completely compatible, but close. And it is supported.\n\n----------------------------------------------------------------------------------------------------------------------------------\n\nOne of the main goals of this library is to be as general as possible by abstracting over notions of equality between morphisms. \n\nAnother is to keep the definitions of categorical structures as simple as possible and then where possible to prove that the simple definition is equivalent to more interesting formulations.\nFor example, we can define a monad as recording containing a functor and two natural transformations. Separately, we can show that a monoid object in the monoidal category of endofunctors is an equivalent definition, and that the composition of an adjoint pair of functors leads to monads, and so on.\n\n\nThe module structure is a mess, I realize. A lot of the parametrized modules should not be. Naming of things in general could also be made cleaner, but I've been more interested in definitions and proofs so far.\n\n\nA lot of this is based on http://web.student.chalmers.se/~stevan/ctfp/html/README.html, but with some design changes that I thought were necessary. It's still very much a work in progress.\n\nOther parts (mostly produts) are borrowed from Dan Doel\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fcopumpkin%2Fcategories","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fcopumpkin%2Fcategories","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fcopumpkin%2Fcategories/lists"}