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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Formal Properties of 'Now'.Hans Kamp - 1971 - Theoria 37 (3):227-273.
Modal Logic.Alexander Chagrov - 1997 - Oxford, England: Oxford University Press.
Expressive Completeness in Modal Language.Allen Hazen - 1976 - Journal of Philosophical Logic 5 (1):25--46.

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