A generalisation of the concept of a relational model for modal logic

Theoria 36 (3):331-335 (1970)
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Abstract

Generalises the concept of a relational model for modal logic, due to Kripke, so as to obtain a closer correspondence between relational and algebraic models. The generalisation obtained is essentially equivalent to the notion of a "first-order" model that was defined independently by S.K.Thomason.

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David Makinson
London School of Economics

Citations of this work

Semantic analysis of tense logics.S. K. Thomason - 1972 - Journal of Symbolic Logic 37 (1):150-158.
Mathematical modal logic: A view of its evolution.Robert Goldblatt - 2003 - Journal of Applied Logic 1 (5-6):309-392.
Notes on conditional logic.Krister Segerberg - 1989 - Studia Logica 48 (2):157 - 168.
The inadequacy of the neighbourhood semantics for modal logic.Martin Gerson - 1975 - Journal of Symbolic Logic 40 (2):141-148.
An incomplete decidable modal logic.M. J. Cresswell - 1984 - Journal of Symbolic Logic 49 (2):520-527.

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References found in this work

Completeness in the theory of types.Leon Henkin - 1950 - Journal of Symbolic Logic 15 (2):81-91.
Pragmatics and intensional logic.Richard Montague - 1970 - Synthese 22 (1-2):68--94.
Algebraic semantics for modal logics I.E. J. Lemmon - 1966 - Journal of Symbolic Logic 31 (1):46-65.
Algebraic semantics for modal logics II.E. J. Lemmon - 1966 - Journal of Symbolic Logic 31 (2):191-218.

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