Duality for Logics of Transition Systems

@inproceedings{Bonsangue2005DualityFL,
  title={Duality for Logics of Transition Systems},
  author={Marcello M. Bonsangue and Alexander Kurz},
  booktitle={FoSSaCS},
  year={2005}
}
We present a general framework for logics of transition systems based on Stone duality. Transition systems are modelled as coalgebras for a functor T on a categoryX . The propositional logic used to reason about state spaces from X is modelled by the Stone dual A of X (e.g. if X is Stone spaces then A is Boolean algebras and the propositional logic is the classical one). In order to obtain a modal logic for transition systems (i.e. for T -coalgebras) we consider the functorL onA that is dual… CONTINUE READING
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