Monotonic solution of the frame problem in the situation calculus: an efficient method for worlds with fully specified actions

Abstract: "The paper is concerned with the succinct axiomatization and efficient deduction of non-change, within McCarthy and Hayes' Situation Calculus. The idea behind the proposed approach is this: suppose that in a room containing a man, a robot and a cat as the only potential agents, t...

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Bibliographische Detailangaben
1. Verfasser: Schuber, Lenhart K. (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Rochester, NY 1989
Schriftenreihe:University of Rochester <Rochester, NY> / Department of Computer Science: Technical report 306
Schlagworte:
Zusammenfassung:Abstract: "The paper is concerned with the succinct axiomatization and efficient deduction of non-change, within McCarthy and Hayes' Situation Calculus. The idea behind the proposed approach is this: suppose that in a room containing a man, a robot and a cat as the only potential agents, the only action taken by the man within a certain time interval is to walk from one place to another, while the robot's only actions are to pick up a box containing the (inactive) cat and carry it from its initial place to another. We wish to prove that a certain object (such as the cat, or the doormat) did not change color. We reason that the only way it could have changed color is for the man or the robot to have painted or dyed it
But since these are not among the actions which actually occurred, the color of the object is unchanged. Thus we need no frame axioms to the effect that walking and carrying leave colors unchanged (which is in general false in multi-agent worlds), and no fault schema that properties change only when we can prove they do (which is in general false in incompletely known worlds). Instead we use explanation-closure axioms specifying all primitive actions which can produce a given type of change within the setting of interest. A method similar to this has been proposed by Andrew Haas for single-agent, serial worlds
The contribution of the present paper lies in showing (1) that such methods do indeed encode non-change succinctly, (2) are independently motivated, (3) can be used to justify highly efficient methods of inferring non-change, specifically the "sleeping dog" strategy of STRIPS, and (4) can be extended to simple multiagent worlds with concurrent actions. An ultimate limitation may lie in the lack of a uniform strategy for deciding what fluents can be affected by what agents in a given domain. In this respect probabilistic methods appear promising.
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