Default conceptual graph rules, atomic negation and Tic-Tac-Toe

Jean-François Baget 1, 2 Jérôme Fortin 2
2 GRAPHIK - Graphs for Inferences on Knowledge
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier, CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : In this paper, we explore the expressivity of default CG rules (a CG-oriented subset of Reiter's default logics) through two applications. In the first one, we show that default CG rules provide a unifying framework for CG rules as well as polarized CGs (CGs with atomic negation). This framework allows us to study decidable subclasses of a new language mixing CG rules with atomic negation. In the second application, we use default CG rules as a formalism to model a game, an application seldom explored by the CG community. This model puts into light the conciseness provided by defaults, as well as the possibilities they offer to achieve efficient reasonings.
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Submitted on : Thursday, November 18, 2010 - 11:54:22 AM
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Jean-François Baget, Jérôme Fortin. Default conceptual graph rules, atomic negation and Tic-Tac-Toe. ICCS: International Conference on Conceptual Structures, Jul 2010, Kuching, Sarawak, Malaysia. pp.42-55. ⟨lirmm-00537338⟩

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