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Reasoning about Action and Change: A Dynamic Logic Approach

Helmut Prendinger and Gerhard Schurz
Journal of Logic, Language, and Information
Vol. 5, No. 2 (Apr., 1996), pp. 209-245
Published by: Springer
Stable URL: http://www.jstor.org/stable/40180096
Page Count: 37
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Reasoning about Action and Change: A Dynamic Logic Approach
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Abstract

Reasoning about change is a central issue in research on human and robot planning. We study an approach to reasoning about action and change in a dynamic logic setting and provide a solution to problems which are related to the frame problem. Unlike most work on the frame problem the logic described in this paper is monotonic. It (implicitly) allows for the occurrence of actions of multiple agents by introducing non-stationary notions of waiting and test. The need to state a large number of "frame axioms" is alleviated by introducing a concept of chronological preservation to dynamic logic. As a side effect, this concept permits the encoding of temporal properties in a natural way. We compare the relative merits of our approach and non-monotonic approaches as regards different aspects of the frame problem. Technically, we show that the resulting extended systems of propositional dynamic logic preserve (weak) completeness, finite model property and decidability.

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