{"id":5247,"date":"2016-01-05T08:31:37","date_gmt":"2016-01-05T07:31:37","guid":{"rendered":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/?p=5247"},"modified":"2016-01-05T08:31:37","modified_gmt":"2016-01-05T07:31:37","slug":"resena-formalization-of-a-newton-series-representation-of-polynomials","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/resena-formalization-of-a-newton-series-representation-of-polynomials\/","title":{"rendered":"Rese\u00f1a: Formalization of a Newton series representation of polynomials"},"content":{"rendered":"<p>Se ha publicado un art\u00edculo de razonamiento formalizado en Coq sobre \u00e1lgebra titulado <a href=\"https:\/\/hal.inria.fr\/hal-01240469\/document\">Formalization of a Newton series representation of polynomials<\/a>.<\/p>\n<p>Sus autores son <a href=\"http:\/\/perso.crans.org\/cohen\">Cyril Cohen<\/a> y Boris Djalal (del grupo <a href=\"https:\/\/team.inria.fr\/marelle\/en\/\">Marelle<\/a> en <a href=\"http:\/\/www.inria.fr\/centre\/sophia\">Inria Sophia Antipolis<\/a>, Francia)<\/p>\n<p>Su resumen es<\/p>\n<blockquote><p>\n  We formalize an algorithm to change the representation of a polynomial to a Newton power series. This provides a way to compute efficiently polynomials whose roots are the sums or products of roots of other polynomials, and hence provides a base component of efficient computation for algebraic numbers. In order to achieve this, we formalize a notion of truncated power series and develop an abstract theory of poles of fractions.\n<\/p><\/blockquote>\n<p>El trabajo se ha presentado en el <a href=\"https:\/\/people.csail.mit.edu\/adamc\/cpp16\">CPP 2016<\/a> (<em>The 5th ACM SIGPLAN Conference on Certified Programs and Proofs<\/em>).<\/p>\n<p>El c\u00f3digo de las correspondientes teor\u00edas en Coq se encuentra <a href=\"http:\/\/www.cyrilcohen.fr\/work\/newtonsums\/\">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>, <a href=\"http:\/\/www.cs.us.es\/cursos\/rac\/\">Razonamiento asistido por ordenador<\/a> y <a href=\"http:\/\/www.cs.us.es\/~mjoseh\/LCyTM-15\">L\u00f3gica computacional y teor\u00eda de modelos<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Se ha publicado un art\u00edculo de razonamiento formalizado en Coq sobre \u00e1lgebra titulado Formalization of a Newton series representation of polynomials. Sus autores son Cyril Cohen y Boris Djalal (del grupo Marelle en Inria Sophia Antipolis, Francia) Su resumen es We formalize an algorithm to change the representation of a polynomial to a Newton power&#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":[100],"tags":[45,285],"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\/5247"}],"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=5247"}],"version-history":[{"count":1,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/5247\/revisions"}],"predecessor-version":[{"id":5248,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/5247\/revisions\/5248"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/media?parent=5247"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/categories?post=5247"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/tags?post=5247"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}