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Decision Procedures for the Propositional Cases of Second Order Logic and Z Modal Logic Representations of a First Order L-Predicate Nonmonotonic Logic

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2796))

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Abstract

Decision procedures for the propositional cases of two different logical representations for an L-Predicate Logic generalizing Autoepistemic Logic to handle quantified variables over modal scopes are described. The first representation is Second Order Logic. The second is Z Modal Logic which extends its S5 modal laws with laws stating what is logically possible. It is suggested that certain problems are more easily solved using one representation whereas other problems are more easily solved using the other.

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© 2003 Springer-Verlag Berlin Heidelberg

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Brown, F.M. (2003). Decision Procedures for the Propositional Cases of Second Order Logic and Z Modal Logic Representations of a First Order L-Predicate Nonmonotonic Logic. In: Cialdea Mayer, M., Pirri, F. (eds) Automated Reasoning with Analytic Tableaux and Related Methods . TABLEAUX 2003. Lecture Notes in Computer Science(), vol 2796. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45206-5_19

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  • DOI: https://doi.org/10.1007/978-3-540-45206-5_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40787-4

  • Online ISBN: 978-3-540-45206-5

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