<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Lycke, Hans</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Fitch-style natural deduction for modal paralogics</style></title><secondary-title><style face="normal" font="default" size="100%">Logique et Analyse</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><volume><style face="normal" font="default" size="100%">207</style></volume><pages><style face="normal" font="default" size="100%">193–218</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, I will present a Fitch–style natural deduction proof theory for modal paralogics (modal logics with gaps and/or gluts for negation). Besides the standard classical subproofs, the presented proof theory also contains modal subproofs, which express what would follow from a hypothesis, in case it would be true in some arbitrary world.&lt;/p&gt;</style></abstract></record></records></xml>