{"id":3458,"date":"2013-07-30T06:28:01","date_gmt":"2013-07-30T06:28:01","guid":{"rendered":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/?p=3458"},"modified":"2013-07-30T06:28:01","modified_gmt":"2013-07-30T06:28:01","slug":"resena-certified-efficient-and-sharp-univariate-taylor-models-in-coq","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/resena-certified-efficient-and-sharp-univariate-taylor-models-in-coq\/","title":{"rendered":"Rese\u00f1a: &#8220;Certified, efficient and sharp univariate Taylor models in Coq&#8221;"},"content":{"rendered":"<p>Se ha publicado un art\u00edculo de razonamiento formalizado en <a href=\"http:\/\/coq.inria.fr\">Coq<\/a> titulado <a href=\"http:\/\/hal.inria.fr\/docs\/00\/84\/57\/91\/PDF\/CoqApprox2013.pdf\">Certified, efficient and sharp univariate Taylor models in Coq<\/a>.<\/p>\n<p>Sus autores son <\/p>\n<ul>\n<li> <a href=\"http:\/\/erik.martin-dorel.org\">\u00c9rik Martin-Dorel<\/a> (del <i>Inria Sophia Antipolis<\/i>),\n<li> <a href=\"http:\/\/www-sop.inria.fr\/lemme\/personnel\/Laurence.Rideau\/me.html\">Laurence Rideau<\/a> (del <i>Inria Sophia Antipolis<\/i>),\n<li> <a href=\"http:\/\/www-sop.inria.fr\/marelle\/Laurent.Thery\/me.html\">Laurent Th\u00e9ry<\/a> (del <i>Inria Sophia Antipolis<\/i>),\n<li> <a href=\"http:\/\/lipn.univ-paris13.fr\/~mayero\">Micaela Mayero<\/a> (de la <i>Universit\u00e9 Paris 13<\/i>) y\n<li> <a href=\"http:\/\/www-sop.inria.fr\/marelle\/Ioana.Pasca\/\">Ioana Pa\u015fca<\/a> (de la <i>Universit\u00e9 Montpellier 2<\/i>).\n<\/ul>\n<p>Su resumen es<\/p>\n<blockquote><p>\nWe present a formalisation, within the COQ proof assistant, of univariate Taylor models. This formalisation being executable, we get a generic library whose correctness has been formally proved and with which one can effectively compute rigorous and sharp approximations of univariate functions composed of usual functions such as 1\/x, sqrt(x), exp(x), sin(x) among others. In this paper, we present the key parts of the formalisation and we evaluate the quality of our certified library on a set of examples.\n<\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>Se ha publicado un art\u00edculo de razonamiento formalizado en Coq titulado Certified, efficient and sharp univariate Taylor models in Coq. Sus autores son \u00c9rik Martin-Dorel (del Inria Sophia Antipolis), Laurence Rideau (del Inria Sophia Antipolis), Laurent Th\u00e9ry (del Inria Sophia Antipolis), Micaela Mayero (de la Universit\u00e9 Paris 13) y Ioana Pa\u015fca (de la Universit\u00e9 Montpellier&#8230;<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","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":[45,273,285],"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\/3458"}],"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=3458"}],"version-history":[{"count":1,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/3458\/revisions"}],"predecessor-version":[{"id":3459,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/3458\/revisions\/3459"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/media?parent=3458"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/categories?post=3458"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/tags?post=3458"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}