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Default Conceptual Graph Rules, Atomic Negation and Tic-Tac-Toe

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6208))

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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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Baget, JF., Fortin, J. (2010). Default Conceptual Graph Rules, Atomic Negation and Tic-Tac-Toe. In: Croitoru, M., Ferré, S., Lukose, D. (eds) Conceptual Structures: From Information to Intelligence. ICCS 2010. Lecture Notes in Computer Science(), vol 6208. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14197-3_8

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  • DOI: https://doi.org/10.1007/978-3-642-14197-3_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14196-6

  • Online ISBN: 978-3-642-14197-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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