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A unifying semantics for time and events
Bennett B., Galton A. Artificial Intelligence153 (1-2):13-48,2004.Type:Article
Date Reviewed: Jan 27 2005

The authors describe a logical language called versatile event logic (VEL), and sketch how other languages--such as McCarthy and Hayes’ situation calculus [1], Allen’s interval logic [2], and Kowalski and Sergot’s event calculus [3]--can be represented in it.

The language supports branching time, and borrows Gupta’s treatment of count nouns [4]. The authors disallow infinite variation of a proposition’s truth value during a finite interval (which they call “intermingling”); this restriction has appeared in the interval temporal logic literature (see, for example, Pandya [5]). Some axioms are also proposed, although there is no completeness proof.

While the framework is general, it remains to be seen whether artificial intelligence (AI) researchers will use it.

Reviewer:  K. Lodaya Review #: CR130722 (0508-0944)
1) McCarthy, J.; Hayes, P.; , Some philosophical problems from the standpoint of artificial intelligence. Machine Intelligence 4, (1969), 463–502.
2) Allen, J.F.; , Towards a general theory of action and time. Artificial Intelligence 23, 2(1984), 123–154.
3) Kowalski, R.; Sergot, M.; , A logic-based calculus of events. New Generation Computing 4, (1986), 67–95.
4) Gupta, A.; , The logic of common nouns: an investigation in quantified modal logic. Yale University Press, New Haven, CT, 1980.
5) Pandya, P. Some extensions to propositional mean value calculus: expressiveness and decidability. In Proceedings of Computer Science Logic Springer-Verlag , London, UK, 1995, 434–451.
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