{"id":7638,"date":"2021-12-30T17:23:31","date_gmt":"2021-12-30T16:23:31","guid":{"rendered":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/?p=7638"},"modified":"2021-12-30T17:46:44","modified_gmt":"2021-12-30T16:46:44","slug":"resena-formalizing-ordinal-partition-relations-using-isabelle-hol","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/resena-formalizing-ordinal-partition-relations-using-isabelle-hol\/","title":{"rendered":"Rese\u00f1a: Formalizing ordinal partition relations using Isabelle\/HOL"},"content":{"rendered":"<p>Se ha publicado un art\u00edculo de razonamiento formalizado en <a href=\"https:\/\/www.cl.cam.ac.uk\/research\/hvg\/Isabelle\/index.html\">Isabelle\/HOL<\/a> sobre combinatoria titulado <a href=\"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/10586458.2021.1980464\">Formalizing ordinal partition relations using Isabelle\/HOL<\/a>.<\/p>\n<p>Sus autores son<\/p>\n<ul class=\"org-ul\">\n<li><a href=\"https:\/\/www.logiqueconsult.eu\/\">Mirna D\u017eamonja<\/a> (del <a href=\"https:\/\/www.irif.fr\/\">IRIF (Institut de Recherche en Informatique Fondamentale)<\/a> , CNRS-Universit\u00e9 de Paris),<\/li>\n<li><a href=\"https:\/\/www.cl.cam.ac.uk\/~ak2110\/\">Angeliki Koutsoukou-Argyraki<\/a> (del <a href=\"https:\/\/www.cl.cam.ac.uk\/research\/hvg\/index.html\">Automated Reasoning Group<\/a> en la <a href=\"http:\/\/www.cam.ac.uk\/\">Universidad de Cambridge<\/a>) y<\/li>\n<li><a href=\"https:\/\/www.cl.cam.ac.uk\/~lp15\/\">Lawrence C. Paulson<\/a> (del <a href=\"https:\/\/www.cl.cam.ac.uk\/research\/hvg\/index.html\">Automated Reasoning Group<\/a> en la <a href=\"http:\/\/www.cam.ac.uk\/\">Universidad de Cambridge<\/a>).<\/li>\n<\/ul>\n<p>Su resumen es<\/p>\n<blockquote><p>This is an overview of a formalization project in the proof assistant Isabelle\/HOL of a number of research results in infinitary combinatorics and set theory (more specifically in ordinal partition relations) by Erd\u0151s\u2013Milner, Specker, Larson and Nash-Williams, leading to Larson\u2019s proof of the unpublished result by E.C. Milner asserting that for all m \u2208 \u2115, \u03c9^\u03c9 \u2192 (\u03c9^\u03c9,m). This material has been recently formalised by Paulson and is available on the <a href=\"https:\/\/www.isa-afp.org\/entries\/Ordinal_Partitions.html\">Archive of Formal Proofs<\/a>; here we discuss some of the most challenging aspects of the formalization process. This project is also a demonstration of working with Zermelo\u2013Fraenkel set theory in higher-order logic.<\/p><\/blockquote>\n<p>El trabajo se ha publicado en <a href=\"https:\/\/www.tandfonline.com\/journals\/uexm20\">Experimental Mathematics<\/a>.<\/p>\n<p>El c\u00f3digo de las correspondientes teor\u00edas se encuentra <a href=\"https:\/\/www.isa-afp.org\/entries\/Ordinal_Partitions.html\">aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Se ha publicado un art\u00edculo de razonamiento formalizado en Isabelle\/HOL sobre combinatoria titulado Formalizing ordinal partition relations using Isabelle\/HOL. Sus autores son Mirna D\u017eamonja (del IRIF (Institut de Recherche en Informatique Fondamentale) , CNRS-Universit\u00e9 de Paris), Angeliki Koutsoukou-Argyraki (del Automated Reasoning Group en la Universidad de Cambridge) y Lawrence C. Paulson (del Automated Reasoning Group&#8230;<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"footnotes":"","_jetpack_memberships_contains_paid_content":false},"categories":[100],"tags":[166,144,285],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_likes_enabled":false,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/7638"}],"collection":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/comments?post=7638"}],"version-history":[{"count":8,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/7638\/revisions"}],"predecessor-version":[{"id":7646,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/7638\/revisions\/7646"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/media?parent=7638"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/categories?post=7638"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/tags?post=7638"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}