kripke bas proposed a number of counteretxamples to the classic thesis, which ays that the class of necmary fropositions roincidn with the cla1ss of a priori ones. these counteretxamples involve some necessary a posten'ori trutbs as well as contingent a priori ones. om cfbis exmnplu far the loller is the 1ta11dard metre example. in thi1 paper, after presenting a brief sketch of kripke&apos...

Formal verification methods model systems by Kripke structures. In order to model live behaviors of systems, Kripke structures are augmented with fairness conditions. Such conditions partition the computations of the systems into fair computations, with respect to which verification proceeds, and unfair computations, which are ignored. Reasoning about Kripke structures augmented with fairness i...

This paper continues the investigations of Kripke [63]. Not only is Kripke [63] presupposed; the reader is advised to have it on hand for ready reference. The notations and terminology of that paper are used freely; in particular, P, Q, R, ... are atomic formulae, and A, B, 0, ... are arbitrary formulae built from them using the connectives A, ~, O. All propositional calculi in this paper have ...

In lecture 7, we have seen how axiomatics and semantics of modal logic fit together in soundness proofs and correspondence proofs. We have seen several examples of classes of Kripke frames that are characterized by formulas of propositional modal logic. These were several special cases. But we are looking for a general correspondence result. Can we find a full correspondence result? For any for...