Sentence examples for modal logics for from inspiring English sources

The resulting logic is axiomatised by the fusion of S5 modal logics for the universal modality U and each one of the □x modalities, plus the addition of axioms of the form U φ →□xφ, and □xφ →□yφ whenever ∼y ⊆ ∼x.

For it makes sense to claim that impossible worlds display different degrees of anarchic behavior: Kripkean non-normal worlds for non-normal modal logics, for instance, appear to be logically more structured than fully anarchic Rantala worlds.

Dynamic Logics (DL) are modal logics for representing the states and the events of dynamic systems.

Combinations of such logics with usual modal logics, for instance, are not so obvious, although both are complete.

One family of approaches to a suitable conditional invokes non-normal worlds (originally introduced by Kripke for purposes of modeling modal logics for which Necessitation fails).

It is then just natural to think on combining simple modal logics for knowledge, belief, obligation, capability, opportunity, etc., so as to define more robust BDI logics.

See the entry on Modal Logic for an overview.

See the entry modal logic for more information about possible worlds semantics in general.

Kripke's semantics for modal logic allows quantification over possible worlds only in the metalanguage (see the entry modal logic), for example.

Much of the impetus for the theory of direct reference came from the implications of the semantics of modal logic for the intentionality of singular thoughts and beliefs.

Since BF, NE, and CBF are no longer theorems, one might think that Prior had succeeded in finding the correct modal logic for actualism.