On First-Order Definability and Computability of Progression for Local-Effect Actions and Beyond

Authors Yongmei Liu, Gerhard Lakemeyer

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Yongmei Liu
Gerhard Lakemeyer

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Yongmei Liu and Gerhard Lakemeyer. On First-Order Definability and Computability of Progression for Local-Effect Actions and Beyond. In Cognitive Robotics. Dagstuhl Seminar Proceedings, Volume 10081, pp. 1-7, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)


In a seminal paper, Lin and Reiter introduced the notion of progression for basic action theories in the situation calculus. Unfortunately, progression is not first-order definable in general. Recently, Vassos, Lakemeyer, and Levesque showed that in case actions have only local effects, progression is firstorder representable. However, they could show computability of the first-order representation only for a restricted class. Also, their proofs were quite involved. In this paper, we present a result stronger than theirs that for local-effect actions, progression is always first-order definable and computable. We give a very simple proof for this via the concept of forgetting. We also show first-order definability and computability results for a class of knowledge bases and actions with non-local effects. Moreover, for a certain class of local-effect actions and knowledge bases for representing disjunctive information, we show that progression is not only firstorder definable but also efficiently computable.
  • Action and change
  • knowledge representation


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