Second-Order Quantifier Elimination in Modal Contexts

  • Authors:
  • Andrzej Szalas

  • Affiliations:
  • -

  • Venue:
  • JELIA '02 Proceedings of the European Conference on Logics in Artificial Intelligence
  • Year:
  • 2002

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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.