Decidable fragments of rst-order modal logics

نویسندگان

  • Frank Wolter
  • Michael Zakharyaschev
چکیده

The paper considers the set ML1 of rst-order polymodal formulas the modal operators in which can be applied to subformulas of at most one free variable. Using the mosaic technique, we prove a general satissability criterion for formulas in ML1 which reduces the modal satissability to the classical one. The criterion is then used to single out a number of new, in a sense optimal, decidable fragments of various predicate modal logics.

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تاریخ انتشار 1999