Modal Foundations for Predicate Logic

Logic Journal of the IGPL 5 (2):259-286 (1997)
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Abstract

The complexity of any logical modeling reflects 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 investigate ‘lighter’ versions of this general purpose tool, by modally ‘deconstructing’ the usual semantics, and locating implicit choice points in its set up. The first part sets out the interest of this program and the modal techniques employed, while the second part provides technical elaborations demonstrating its viability

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Johan Van Benthem
University of Amsterdam

References found in this work

Language in action.Johan Van Benthem - 1991 - Journal of Philosophical Logic 20 (3):225-263.
Logics of Time and Computation.Robert Goldblatt - 1990 - Studia Logica 49 (2):284-286.
Reasoning with Arbitrary Objects.Kit Fine - 1985 - Revue Philosophique de la France Et de l'Etranger 176 (3):402-403.

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