Axiomatization and completeness of lexicographic products of modal logics

  • Authors:
  • Philippe Balbiani

  • Affiliations:
  • CNRS, Université de Toulouse, Institut de recherche en informatique de Toulouse Cedex 9, France

  • Venue:
  • FroCoS'09 Proceedings of the 7th international conference on Frontiers of combining systems
  • Year:
  • 2009

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Abstract

This paper sets out a new way of combining Kripke-complete modal logics: lexicographic product. It discusses some basic properties of the lexicographic product construction and proves axiomatization/completeness results.