<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">José Bacelar Almeida</style></author><author><style face="normal" font="default" size="100%">Jorge Sousa Pinto</style></author><author><style face="normal" font="default" size="100%">Miguel Vilaça</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A Local Graph-rewriting System for Deciding Equality in Sum-product Theories</style></title><secondary-title><style face="normal" font="default" size="100%">Electronic Notes in Theoretical Computer Science</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2007</style></year></dates><urls><related-urls><url><style face="normal" font="default" size="100%">https://haslab.uminho.pt/sites/default/files/jba/files/06sum-product.pdf</style></url></related-urls></urls><number><style face="normal" font="default" size="100%">1</style></number><volume><style face="normal" font="default" size="100%">176</style></volume><pages><style face="normal" font="default" size="100%">139-163</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we give a graph-based decision procedure for a calculus with sum and product types. Although our motivation comes from the Bird-Meertens approach to reasoning algebraically about functional programs, the language used here can be seen as the internal language of a category with binary products and coproducts. As such, the decision procedure presented has independent interest.&lt;br /&gt;
A standard approach based on term rewriting would work modulo a set of equations; the present work proposes a simpler approach, based on graph-rewriting. We show in turn how the system covers reflection equational laws, fusion laws, and cancellation laws.&lt;/p&gt;
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