{"id":3722,"date":"2013-10-02T07:44:30","date_gmt":"2013-10-02T05:44:30","guid":{"rendered":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/?p=3722"},"modified":"2013-10-02T07:44:30","modified_gmt":"2013-10-02T05:44:30","slug":"automation-of-mathematical-induction-as-part-of-the-history-of-logic","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/automation-of-mathematical-induction-as-part-of-the-history-of-logic\/","title":{"rendered":"Automation of mathematical induction as part of the history of logic"},"content":{"rendered":"<p>Se ha publicado un art\u00edculo sobre la historia del razonamiento autom\u00e1tico titulado <a href=\"http:\/\/arxiv.org\/pdf\/1309.6226v1\">Automation of mathematical induction as part of the history of logic<\/a>.<\/p>\n<p>Sus autores son <\/p>\n<ul>\n<li><a href=\"http:\/\/www.cs.utexas.edu\/~moore\">J Strother Moore<\/a> (de la <i>University of Texas at Austin<\/i>) y\n<li><a href=\"http:\/\/wirth.bplaced.net\">Claus-Peter Wirth<\/a> (del <i>King&#8217;s College London<\/i>).\n<\/ul>\n<p>Su resumen es<\/p>\n<blockquote><p>\nWe review the history of the automation of mathematical induction.<\/p>\n<p>This article is further organized as follows.<\/p>\n<p>\u00a7\u00a7 4 and 5 offer a self-contained reference for the readers who are not familiar with the field of mathematical induction and its automation. In \u00a7 4 we introduce the essentials of mathematical induction. In \u00a7 5 we have to become more formal regarding recursive function definitions, their consistency, termination, and induction templates and schemes.<\/p>\n<p>The main part is \u00a7 6, where we present the historically most important systems in automated induction, and discuss the details of software systems for explicit induction, with a focus on the 1970s. After describing the application context in \u00a7 6.1, we describe the following Boyer\u2013Moore theorem provers: the Pure LISP Theorem Prover (\u00a7 6.2) Thm (\u00a7 6.3) Nqthm (\u00a7 6.4), and ACL2 (\u00a7 6.5). The most noteworthy remaining explicit- induction systems are sketched in \u00a7 6.6. <\/p>\n<p>Alternative approaches to the automation of induction that do not follow the paradigm of explicit induction are discussed in \u00a7 7. <\/p>\n<p>After summarizing the lessons learned in \u00a7 8, we conclude with \u00a7 9.\n<\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>Se ha publicado un art\u00edculo sobre la historia del razonamiento autom\u00e1tico titulado Automation of mathematical induction as part of the history of logic. Sus autores son J Strother Moore (de la University of Texas at Austin) y Claus-Peter Wirth (del King&#8217;s College London). Su resumen es We review the history of the automation of mathematical&#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":[225,189,163],"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\/3722"}],"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=3722"}],"version-history":[{"count":1,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/3722\/revisions"}],"predecessor-version":[{"id":3723,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/3722\/revisions\/3723"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/media?parent=3722"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/categories?post=3722"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/tags?post=3722"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}