Melvin Fitting
CUNY Graduate Center
Propositional modal logic is a standard tool in many disciplines, but first-order modal logic is not. There are several reasons for this, including multiplicity of versions and inadequate syntax. In this paper we sketch a syntax and semantics for a natural, well-behaved version of first-order modal logic, and show it copes easily with several familiar difficulties. And we provide tableau proof rules to go with the semantics, rules that are, at least in principle, automatable.
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References found in this work BETA

First-Order Modal Logic.Melvin Fitting & Richard L. Mendelsohn - 1998 - Kluwer Academic Publishers.
First Order Modal Logic.Melvin Fitting & Richard Mendelsohn - 2001 - Studia Logica 68 (2):287-289.
Barcan Both Ways.Melvin Fitting - 1999 - Journal of Applied Non-Classical Logics 9 (2):329-344.

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Three 13th-Century Views of Quantified Modal Logic.Sara L. Uckelman - 2008 - In Carlos Areces & Robert Goldblatt (eds.), Advances in Modal Logic, Volume 7. CSLI Publications. pp. 389-406.

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