<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Marcello Bonsangue</style></author><author><style face="normal" font="default" size="100%">Jan Rutten</style></author><author><style face="normal" font="default" size="100%">Alexandra Silva</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A Kleene theorem for polynomial coalgebras</style></title><secondary-title><style face="normal" font="default" size="100%">Proceedings of the Twelfth International Conference on Foundations of Software Science and Computation structures (FoSSaCS 2009)</style></secondary-title><tertiary-title><style face="normal" font="default" size="100%">Lecture Notes in Computer Science</style></tertiary-title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">March</style></date></pub-dates></dates><urls><related-urls><url><style face="normal" font="default" size="100%">https://haslab.uminho.pt/sites/default/files/xana/files/brs09a.pdf</style></url></related-urls></urls><publisher><style face="normal" font="default" size="100%">Springer</style></publisher><pub-location><style face="normal" font="default" size="100%">York, UK </style></pub-location><volume><style face="normal" font="default" size="100%">5504</style></volume><pages><style face="normal" font="default" size="100%">122–136</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;For polynomial functors G, we show how to generalize the classical notion of regular expression to G-coalgebras. We introduce a language of expressions for describing elements of the final G-coalgebra and, analogously to Kleene’s theorem, we show the correspondence between expressions and finite G-coalgebras.&lt;/p&gt;
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