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Second-Order Quantifier Elimination in Modal Contexts

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Book cover Logics in Artificial Intelligence (JELIA 2002)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2424))

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Abstract

Second-order quantifier elimination in the context of classical logic emerged as a powerful technique in many applications, including the correspondence theory, relational databases, deductive and knowledge databases, knowledge representation, commonsense reasoning and approximate reasoning.

In the current paper we generalize the result of [19] by allowing modal operators. This allows us to provide a unifying framework for many applications, that require the use of intensional concepts. Examples of applications of the technique in AI are also provided.

Supported in part by the WITAS project grant under the Wallenberg Foundation, Sweden, KBN grant 8 T11C 009 19 and The College of Economics and Computer Science.

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Author information

Authors and Affiliations

  1. The College of Economics and Computer Science, Olsztyn, Poland and Department of Computer Science, University of Linköping, Sweden

    Andrzej Szalas

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  1. Andrzej Szalas
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Editor information

Editors and Affiliations

  1. DEIS, University of Calabria, P.te P. Bucci, Cubo 41C, 87036, Rende, CS, Italy

    Sergio Flesca  & Sergio Greco  & 

  2. Department of Mathematics, University of Calabria, P.te P. Bucci, Cubo 30B, 87036, Rende, CS, Italy

    Giovambattista Ianni  & Nicola Leone  & 

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Szalas, A. (2002). Second-Order Quantifier Elimination in Modal Contexts. In: Flesca, S., Greco, S., Ianni, G., Leone, N. (eds) Logics in Artificial Intelligence. JELIA 2002. Lecture Notes in Computer Science(), vol 2424. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45757-7_19

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  • DOI: https://doi.org/10.1007/3-540-45757-7_19

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  • Print ISBN: 978-3-540-44190-8

  • Online ISBN: 978-3-540-45757-2

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