Resolution is a Decision Procedure for Many Propositional Modal Logics

@inproceedings{Schmidt1996ResolutionIA,
  title={Resolution is a Decision Procedure for Many Propositional Modal Logics},
  author={Renate A. Schmidt},
  booktitle={Advances in Modal Logic},
  year={1996}
}
The paper shows satis ability in many propositional modal systems can be decided by ordinary resolution procedures. This follows from a general result that resolution and condensing is a decision procedure for the satis ability problem of formulae in so-called path logics. Path logics arise from propositional and normal uniand multi-modal logics by the optimised functional translation method. The decision result provides an alternative decision proof for the relevant modal logics (including K… CONTINUE READING

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