Melvin Fitting
CUNY Graduate Center
First-order modal logics, as traditionally formulated, are not expressive enough. It is this that is behind the difficulties in formulating a good analog of Herbrand’s Theorem, as well as the well-known problems with equality, non-rigid designators, definite descriptions, and nondesignating terms. We show how all these problems disappear when modal language is made more expressive in a simple, natural way. We present a semantic tableaux system for the enhanced logic, and (very) briefly discuss implementation issues.
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References found in this work BETA

Semantical Considerations on Modal Logic.Saul A. Kripke - 1963 - Acta Philosophica Fennica 16 (1963):83-94.
Semantical Analysis of Modal Logic I. Normal Propositional Calculi.Saul A. Kripke - 1963 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 9 (5‐6):67-96.
A Deduction Model of Belief.Kurt Konolige - 1986 - Morgan Kaufmann Publishers.
Tableau Methods of Proof for Modal Logics.Melvin Fitting - 1972 - Notre Dame Journal of Formal Logic 13 (2):237-247.
[Omnibus Review].M. J. Cresswell - 1975 - Journal of Symbolic Logic 40 (4):602-602.

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Logics of Public Communications.Jan Plaza - 2007 - Synthese 158 (2):165 - 179.

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