Application of modal logic to programming

Studia Logica 39 (2-3):257 - 274 (1980)
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Abstract

The modal logician's notion of possible world and the computer scientist's notion of state of a machine provide a point of commonality which can form the foundation of a logic of action. Extending ordinary modal logic with the calculus of binary relations leads to a very natural logic for describing the behavior of computer programs.

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Citations of this work

Mathematical modal logic: A view of its evolution.Robert Goldblatt - 2003 - Journal of Applied Logic 1 (5-6):309-392.
Backwards and forwards in the modal logic of agency.Nuel Belnap - 1991 - Philosophy and Phenomenological Research 51 (4):777-807.
Constructive modal logics I.Duminda Wijesekera - 1990 - Annals of Pure and Applied Logic 50 (3):271-301.

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References found in this work

First-order logic.Raymond Merrill Smullyan - 1968 - New York [etc.]: Springer Verlag.
Semantical Analysis of Modal Logic I. Normal Propositional Calculi.Saul A. Kripke - 1963 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 9 (5‐6):67-96.
First-order Logic.William Craig - 1975 - Journal of Symbolic Logic 40 (2):237-238.

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