Ultraproducts and possible worlds
semantics in institutions. (abstract)
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- We develop possible worlds (Kripke) semantics at the categorical
abstract model theoretic level provided by the so-called
Our general abstract modal logic framework provides a method for
systematic Kripke semantics extensions of logical systems from
computing science and logic.
We also extend the institution-independent method of ultraproducts of
Ultraproducts in institutions to possible
worlds semantics and prove a fundamental
preservation result for abstract modal satisfaction.
As a consequence we develop a generic compactness result for possible