{"id":4374,"date":"2014-07-14T05:00:26","date_gmt":"2014-07-14T03:00:26","guid":{"rendered":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/?p=4374"},"modified":"2014-07-13T18:23:53","modified_gmt":"2014-07-13T16:23:53","slug":"resena-a-new-and-formalized-proof-of-abstract-completion","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/resena-a-new-and-formalized-proof-of-abstract-completion\/","title":{"rendered":"Rese\u00f1a: A new and formalized proof of abstract completion"},"content":{"rendered":"<p>Se ha publicado un art\u00edculo de razonamiento formalizado en <a href=\"http:\/\/www.cl.cam.ac.uk\/research\/hvg\/Isabelle\">Isabelle\/HOL<\/a> titulado <a href=\"http:\/\/bit.ly\/1mVIU43\">A new and formalized proof of abstract completion<\/a>.<\/p>\n<p>Sus autores son<\/p>\n<ul>\n<li><a href=\"http:\/\/www.jaist.ac.jp\/~hirokawa\">Nao Hirokawa<\/a> (del <em>Japan Advanced Institute of Science and Technology<\/em>, Jap\u00f3n),<\/li>\n<li><a href=\"http:\/\/cl-informatik.uibk.ac.at\/~ami\">Aart Middeldorp<\/a> (de la <em>University of Innsbruck<\/em>, Austria) y<\/li>\n<li><a href=\"http:\/\/cl-informatik.uibk.ac.at\/~griff\">Christian Sternagel<\/a> (de la <em>University of Innsbruck<\/em>, Austria)-<\/li>\n<\/ul>\n<p>Su resumen es<\/p>\n<blockquote><p>\n  <em>Completion is one of the most studied techniques in term rewriting. We present a new proof of the correctness of abstract completion that is based on peak decreasingness, a special case of decreasing diagrams. Peak decreasingness replaces Newman&#8217;s Lemma and allows us to avoid proof orders in the correctness proof of completion. As a result, our proof is simpler than the one presented in textbooks, which is confirmed by our Isabelle\/HOL formalization. Furthermore, we show that critical pair criteria are easily incorporated in our setting.<\/em>\n<\/p><\/blockquote>\n<p>El trabajo se presentar\u00e1 el martes 15 de julio en el <a href=\"http:\/\/www.cs.uwyo.edu\/~ruben\/itp-2014\">ITP 2014<\/a> (<em>5th Conference on Interactive Theorem Proving<\/em>).<\/p>\n<p>El c\u00f3digo de las correspondientes teor\u00edas en Isabelle\/HOL es encuentra <a href=\"http:\/\/cl2-informatik.uibk.ac.at\/rewriting\/mercurial.cgi\/IsaFoR\">aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Se ha publicado un art\u00edculo de razonamiento formalizado en Isabelle\/HOL titulado A new and formalized proof of abstract completion. Sus autores son Nao Hirokawa (del Japan Advanced Institute of Science and Technology, Jap\u00f3n), Aart Middeldorp (de la University of Innsbruck, Austria) y Christian Sternagel (de la University of Innsbruck, Austria)- Su resumen es Completion is&#8230;<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","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":[229,285],"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\/4374"}],"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=4374"}],"version-history":[{"count":1,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/4374\/revisions"}],"predecessor-version":[{"id":4375,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/4374\/revisions\/4375"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/media?parent=4374"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/categories?post=4374"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/tags?post=4374"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}