First-order expressivity for s5-models: Modal vs. two-sorted languages

Journal of Philosophical Logic 30 (6):571-591 (2001)
Abstract
Standard models for model predicate logic consist of a Kripke frame whose worlds come equipped with relational structures. Both modal and two-sorted predicate logic are natural languages for speaking about such models. In this paper we compare their expressivity. We determine a fragment of the two-sorted language for which the modal language is expressively complete on S5-models. Decidable criteria for modal definability are presented
Keywords Philosophy
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Reprint years 2004
DOI 10.1023/A:1013360121031
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References found in this work BETA
Modal Logic.Alexander Chagrov - 1997 - Oxford University Press.
Formal properties of `now'.Hans Kamp - 1971 - Theoria 37 (3):227-274.
A Note on de Re Modalities.M. J. Cresswell - 1997 - Logique Et Analyse 158:147-153.
Model Theory.C. C. Chang & H. J. Keisler - 1976 - Journal of Symbolic Logic 41 (3):697-699.

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