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On First-Order Definability and Computability of Progression for Local-Effect Actions and Beyond Liu, Yongmei Lakemeyer, Gerhard Action and change knowledge representation 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. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Yongmei Liu and Gerhard Lakemeyer 2010 Is Part Of Dagstuhl Seminar Proceedings, Volume 10081, Cognitive Robotics (2010) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/DagSemProc.10081.12 urn:nbn:de:0030-drops-26380 https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.10081.12 eng https://creativecommons.org/licenses/by/4.0/legalcode