{"id":3862,"date":"2013-11-29T08:24:12","date_gmt":"2013-11-29T07:24:12","guid":{"rendered":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/?p=3862"},"modified":"2013-11-29T08:24:45","modified_gmt":"2013-11-29T07:24:45","slug":"proof-pearl-a-probabilistic-proof-for-the-girth-chromatic-number-theorem","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/proof-pearl-a-probabilistic-proof-for-the-girth-chromatic-number-theorem\/","title":{"rendered":"Proof Pearl: A probabilistic proof for the Girth-Chromatic number theorem"},"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<\/a> sobre<br \/>\nteor\u00eda de grafos titulado <a href=\"http:\/\/www21.in.tum.de\/~noschinl\/documents\/noschinski2012girth.pdf\">Proof Pearl: A probabilistic proof for the Girth-Chromatic number theorem<\/a>. <\/p>\n<p>Su autor es <a href=\"http:\/\/www21.in.tum.de\/~noschinl\">Lars Noschinski<\/a> (de la Universidad T\u00e9cnica de Munich, Alemania).<\/p>\n<p>Su resumen es<\/p>\n<blockquote><p>\nThe Girth-Chromatic number theorem is a theorem from graph theory, stating that graphs with arbitrarily large girth and chro- matic number exist. We formalize a probabilistic proof of this theorem in the Isabelle\/HOL theorem prover, closely following a standard textbook proof and use this to explore the use of the probabilistic method in a theorem prover.\n<\/p><\/blockquote>\n<p>El trabajo se present\u00f3 en el <a href=\"http:\/\/itp2012.cs.princeton.edu\/\">ITP 2012<\/a> (<i>Interactive Theorem Proving<\/i>).<\/p>\n<p>El c\u00f3digo de las correspondientes teor\u00edas en Isabelle se encuentra <a href=\"http:\/\/afp.sourceforge.net\/entries\/Girth_Chromatic.shtml\">aqu\u00ed<\/a>. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Se ha publicado un art\u00edculo de razonamiento formalizado en Isabelle sobre teor\u00eda de grafos titulado Proof Pearl: A probabilistic proof for the Girth-Chromatic number theorem. Su autor es Lars Noschinski (de la Universidad T\u00e9cnica de Munich, Alemania). Su resumen es The Girth-Chromatic number theorem is a theorem from graph theory, stating that graphs with arbitrarily&#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":[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\/3862"}],"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=3862"}],"version-history":[{"count":2,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/3862\/revisions"}],"predecessor-version":[{"id":3864,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/3862\/revisions\/3864"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/media?parent=3862"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/categories?post=3862"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/tags?post=3862"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}