The interpolation property and Robinson's consistency property are important tools for applying logic to software engineering. We provide a uniform technique for proving the Interpolation Property, using the notion of bisimulation. For modal logics, this leads to simple, easy- to-check conditions on the logic which imply interpolation. We apply this result to fibering of modal logics and to modal logics of knowledge and belief.
CITATION STYLE
Marx, M. (1998). Interpolation in modal logic. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1548, pp. 154–163). Springer Verlag. https://doi.org/10.1007/3-540-49253-4_13
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