An alternative semantics for modal predicate-logic

The Semantics of Modal Predicate Logic II. Modal Individuals Revisited

We continue the investigations begun in [10]. We shall define a semantics that is build on a new notion of frame, called coherence frames. In these frames, objects are transcendental (world–independent), as in the standard constant–domain semantics. This will remove the asymmetry between constants and variables of the counterpart semantics of [10]. We demonstrate the completeness of (general) c...

The Semantics of Modal Predicate Logic I. Counterpart-Frames

We introduce a new semantics for modal predicate logic, with respect to which a rich class of first-order modal logics is complete, namely all normal first-order modal logics that are extensions of free quantified K. This logic is defined by combining positive free logic with equality PFL . = and the propositional modal logic K. We then uniformly construct—for each modal predicate logic L—a can...

Modal Foundations for Predicate Logic

The complexity of any logical modeling reeects both the intrinsic structure of a topic described and the weight of the formal tools. Some of this weight seems inherent in even the most basic logical systems. Notably, standard predicate logic is undecidable. In this paper, we investigatèlighter' versions of this general purpose tool, by modally`deconstructing' the usual semantics, and locating i...

Dynamic Modal Predicate Logic

Sequence semantics for dynamic predicate logic

In this paper a semantics for dynamic predicate logic is developed that uses sequence valued assignments This semantics is compared with the usual relational semantics for dynamic predicate logic it is shown that the most important intuitions of the usual se mantics are preserved Then it is shown that the re ned semantics re ects out intuitions about information growth Some other issues in dyna...