{"id":4997,"date":"2015-08-31T08:45:11","date_gmt":"2015-08-31T06:45:11","guid":{"rendered":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/?p=4997"},"modified":"2015-08-31T08:45:11","modified_gmt":"2015-08-31T06:45:11","slug":"resena-the-akra-bazzi-theorem-and-the-master-theorem","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/resena-the-akra-bazzi-theorem-and-the-master-theorem\/","title":{"rendered":"Rese\u00f1a: The Akra-Bazzi theorem and the Master theorem"},"content":{"rendered":"<p>Se ha publicado un art\u00edculo de razonamiento formalizado en Isabelle\/HOL sobre algor\u00edtmica titulado <a href=\"http:\/\/bit.ly\/1LEJY5G\">The Akra-Bazzi theorem and the Master theorem<\/a>.<\/p>\n<p>Su autor es <a href=\"http:\/\/home.in.tum.de\/~eberlm\">Manuel Eberl<\/a> (del <a href=\"http:\/\/www21.in.tum.de\/\">Theorem Proving Group<\/a> en la <em>Technische Universit\u00e4t M\u00fcnchen<\/em>, Munich, Alemania).<\/p>\n<p>Su resumen es<\/p>\n<blockquote><p>\n  This article contains a formalisation of the <a href=\"http:\/\/bit.ly\/1PGjpOr\">Akra-Bazzi method<\/a> based on a <a href=\"http:\/\/bit.ly\/1LEKbGi\">proof by Leighton<\/a>. It is a generalisation of the well-known Master Theorem for analysing the complexity of Divide &amp; Conquer algorithms. We also include a generalised version of the Master theorem based on the Akra-Bazzi theorem, which is easier to apply than the Akra-Bazzi theorem itself.<\/p>\n<p>  Some proof methods that facilitate applying the Master theorem are also included. For a more detailed explanation of the formalisation and the proof methods, see the accompanying paper (publication forthcoming).\n<\/p><\/blockquote>\n<p>El trabajo se ha publicado en <a href=\"http:\/\/afp.sourceforge.net\/entries\/Akra_Bazzi.shtml\">AFP<\/a> (<em>The Archive of Formal Proofs<\/em>).<\/p>\n<p>El c\u00f3digo de las correspondientes teor\u00edas en Isabelle\/HOL se encuentra <a href=\"http:\/\/bit.ly\/1N3I9Tf\">aqu\u00ed<\/a>.<\/p>\n<p>Este art\u00edculo puede servir de lectura complementaria en los cursos de <a href=\"http:\/\/www.cs.us.es\/~jalonso\/cursos\/m-ra\">Razonamiento autom\u00e1tico<\/a> y <em>L\u00f3gica computacional y teor\u00eda de modelos<\/em>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Se ha publicado un art\u00edculo de razonamiento formalizado en Isabelle\/HOL sobre algor\u00edtmica titulado The Akra-Bazzi theorem and the Master theorem. Su autor es Manuel Eberl (del Theorem Proving Group en la Technische Universit\u00e4t M\u00fcnchen, Munich, Alemania). Su resumen es This article contains a formalisation of the Akra-Bazzi method based on a proof by Leighton. It&#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":[1],"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\/4997"}],"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=4997"}],"version-history":[{"count":1,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/4997\/revisions"}],"predecessor-version":[{"id":4998,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/4997\/revisions\/4998"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/media?parent=4997"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/categories?post=4997"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/tags?post=4997"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}