Explanation Closure, Action Closure and the Sandewall Test Suite for Reasoning about Change

Abstra t. Explanation losure (EC) axioms were previously introdu ed as a means of solving the frame problem. This paper provides a thorough demonstration of the power of EC ombined with a tion losure (AC) for reasoning about dynami worlds, by way of Sandewall's test suite of 12-or-so problems [29{31℄. Sandewall's problems range from the \Yale turkey shoot" (and variants) to the \stu y room" problem, and were intended as a test and hallenge for nonmonotoni logi s of a tion. The EC/AC-based solutions for the most part do not resort to nonmonotoni reasoning at all, yet yield the intuitively warranted inferen es in a dire t, transparent fashion. While there are good reasons for ultimately employing nonmonotoni or probabilisti logi s { e.g., pervasive un ertainty and the quali ation problem { this does show that the s ope of monotoni methods has been underestimated. Subsidiary purposes of the paper are to larify the intuitive status of EC axioms in relation to a tion e e t axioms; and to show how EC, previously formulated within the situation al ulus, an be applied within the framework of a temporal logi similar to Sandewall's \dis rete uent logi ", with some gains in larity.

[1]  Marianne Winslett,et al.  Reasoning about Action Using a Possible Models Approach , 1988, AAAI.

[2]  Henry A. Kautz The Logic of Persistence , 1986, AAAI.

[3]  I. G. BONNER CLAPPISON Editor , 1960, The Electric Power Engineering Handbook - Five Volume Set.

[4]  V. Lifschitz Formal theories of action , 1987 .

[5]  Fahiem Bacchus,et al.  Representing and reasoning with probabilistic knowledge , 1988 .

[6]  Michael Gelfond,et al.  What are the Limitations of the Situation Calculus? , 1991, Automated Reasoning: Essays in Honor of Woody Bledsoe.

[7]  Michael Gelfond,et al.  Representing Actions in Extended Logic Programming , 1992, JICSLP.

[8]  Ernest Davis,et al.  Axiomatizing Qualitative Process Theory , 2011, KR.

[9]  Vladimir Lifschitz,et al.  Frames in the Space of Situations , 1990, Artif. Intell..

[10]  Fangzhen Lin,et al.  Provably Correct Theories of Action (Preliminary Report) , 1991, AAAI.

[11]  James F. Allen,et al.  Actions and Events in Interval Temporal Logic , 1994, J. Log. Comput..

[12]  Andrew B. Baker,et al.  Nonmonotonic Reasoning in the Framework of Situation Calculus , 1991, Artif. Intell..

[13]  Fangzhen Lin,et al.  Concurrent Actions in the Situation Calculus , 1992, AAAI.

[14]  Lenhart K. Schubert Monotonic Solution of the Frame Problem in the Situation Calculus: An Efficient Method for Worlds wi , 1990 .

[15]  David E. Smith,et al.  Reasoning About Action I: A Possible Worlds Approach , 1987, Artif. Intell..

[16]  Leora Morgenstern,et al.  Why Things Go Wrong: A Formal Theory of Causal Reasoning , 1988, AAAI.

[17]  Jonathan Amsterdam Temporal Reasoning and Narrative Conventions , 1991, KR.

[18]  Joseph Y. Halpern,et al.  Statistical Foundations for Default Reasoning , 1993, IJCAI.

[19]  John McCarthy,et al.  The Frame Problem Today , 1987 .

[20]  Andrew R. Haas A Reactive Planner that Uses Explanation Closure , 1992, KR.

[21]  Raymond Reiter,et al.  The Frame Problem in the Situation Calculus: A Simple Solution (Sometimes) and a Completeness Result for Goal Regression , 1991, Artificial and Mathematical Theory of Computation.

[22]  A. Lansky A REPRESENTATION OF PARALLEL ACTIVITY BASED ON EVENTS, STRUCTURE, AND CAUSALITY , 1987 .

[23]  Drew McDermott,et al.  Nonmonotonic Logic and Temporal Projection , 1987, Artif. Intell..

[24]  Joseph Y. Halpern An Analysis of First-Order Logics of Probability , 1989, IJCAI.