{"id":3905,"date":"2013-12-09T08:49:20","date_gmt":"2013-12-09T07:49:20","guid":{"rendered":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/?p=3905"},"modified":"2013-12-09T08:50:17","modified_gmt":"2013-12-09T07:50:17","slug":"using-isabellehol-to-verify-first-order-relativity-theory","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/using-isabellehol-to-verify-first-order-relativity-theory\/","title":{"rendered":"Using Isabelle\/HOL to verify first-order relativity theory"},"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> sobre la teor\u00eda de la relatividad titulado <a href=\"http:\/\/www.researchgate.net\/publication\/256661523_Using_IsabelleHOL_to_Verify_First-Order_Relativity_Theory\/file\/3deec5241dfdb543f5.pdf\">Using Isabelle\/HOL to verify first-order relativity theory<\/a>.<\/p>\n<p>Sus autores son <\/p>\n<ul>\n<li><a href=\"http:\/\/www.dcs.shef.ac.uk\/~mps\/\">Mike Stannett<\/a> (de la Universidad de Sheffield) y\n<li><a href=\"http:\/\/www.renyi.hu\/~nemeti\">Istv\u00e1n N\u00e9meti<\/a> (del Instituto de Matem\u00e1ticas de la academia h\u00fangara de ciencias).\n<\/ul>\n<p>Su resumen es<\/p>\n<blockquote><p>\nLogicians at the R\u00e9nyi Mathematical Institute in Budapest have spent several years developing versions of relativity theory (special, general, and other variants) based wholly on first-order logic, and have argued in favour of the physical decidability, via exploitation of cosmological phenomena, of formally unsolvable questions such as the Halting Problem and the consistency of set theory. As part of a joint project, researchers at Sheffield have recently started generating rigorous machine-verified versions of the Hungarian proofs, so as to demonstrate the sound- ness of their work. In this paper, we explain the background to the project and demonstrate a first-order proof in Isabelle\/HOL of the theorem &#8220;no inertial observer can travel faster than light&#8221;. This approach to physical theories and physical computability has several pay-offs, because the precision with which physical theories need to be formalised within automated proof systems forces us to recognise subtly hidden assumptions.\n<\/p><\/blockquote>\n<p>El c\u00f3digo de las correspondientes teor\u00edas en Isabelle se encuentra <a href=\"http:\/\/www.dcs.shef.ac.uk\/~mps\/isabelle\/\">aqu\u00ed<\/a>. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Se ha publicado un art\u00edculo de razonamiento formalizado en Isabelle\/HOL sobre la teor\u00eda de la relatividad titulado Using Isabelle\/HOL to verify first-order relativity theory. Sus autores son Mike Stannett (de la Universidad de Sheffield) y Istv\u00e1n N\u00e9meti (del Instituto de Matem\u00e1ticas de la academia h\u00fangara de ciencias). Su resumen es Logicians at the R\u00e9nyi 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":[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\/3905"}],"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=3905"}],"version-history":[{"count":2,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/3905\/revisions"}],"predecessor-version":[{"id":3907,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/3905\/revisions\/3907"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/media?parent=3905"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/categories?post=3905"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/tags?post=3905"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}