• Corpus ID: 116907318

Monotonic modal logics

@inproceedings{Hansen2003MonotonicML,
  title={Monotonic modal logics},
  author={Helle Hvid Hansen and Clemens Kupke and E. Pacuit},
  year={2003}
}
Monotonic modal logics form a generalisation of normal modal logics in which the additivity of the diamond modality has been weakened to monotonicity: 3p∨3q → 3(p∨q). This generalisation means that Kripke structures no longer form an adequate semantics. Instead monotonic modal logics are interpreted over monotonic neighbourhood structures, that is, neighbourhood structures where the neighbourhood function is closed under supersets. As specific examples of monotonic modal logics we mention Game… 
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