Branching-time logic with quantification over branches: The point of view of modal logic

Journal of Symbolic Logic 61 (1):1-39 (1996)
Abstract
In Ockhamist branching-time logic [Prior 67], formulas are meant to be evaluated on a specified branch, or history, passing through the moment at hand. The linguistic counterpart of the manifoldness of future is a possibility operator which is read as `at some branch, or history (passing through the moment at hand)'. Both the bundled-trees semantics [Burgess 79] and the $\langle moment, history\rangle$ semantics [Thomason 84] for the possibility operator involve a quantification over sets of moments. The Ockhamist frames are (3-modal) Kripke structures in which this second-order quantification is represented by a first-order quantification. The aim of the present paper is to investigate the notions of modal definability, validity, and axiomatizability concerning 3-modal frames which can be viewed as generalizations of Ockhamist frames
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DOI 10.2307/2275595
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References found in this work BETA
Branching Space-Time.Nuel Belnap - 1992 - Synthese 92 (3):385 - 434.
Time and Modality in the Logic of Agency.Brian F. Chellas - 1992 - Studia Logica 51 (3-4):485 - 517.
A Finite Axiomatization of the Set of Strongly Valid Ockhamist Formulas.Alberto Zanardo - 1985 - Journal of Philosophical Logic 14 (4):447 - 468.
Decidability for Branching Time.John P. Burgess - 1980 - Studia Logica 39 (2-3):203-218.

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Citations of this work BETA
A Future for the Thin Red Line.Alex Malpass & Jacek Wawer - 2012 - Synthese 188 (1):117-142.
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The Truth About the Future.Jacek Wawer - 2014 - Erkenntnis 79 (3):365-401.
Combinations of Tense and Modality for Predicate Logic.Stefan Wölfl - 1999 - Journal of Philosophical Logic 28 (4):371-398.

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