Abstract
Logic-based theories of action and automata-based systems theories share concerns about state dynamics that are however not reflected by shared insights. As an example of how to remedy this we examine a simple variety of situation calculus theories from the viewpoint of system-theoretic properties to reveal relationships between them. These provide insights into relationships between logic-based solution policies, and are suggestive of similar relationships for more complex versions.
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References
Arbib, M.: Theories of Abstract Automata. Prentice-Hall, Englewood Cliffs (1969)
Arbib, M.: Automata Theory: the rapprochement with control theory. In: Kalman, R., Falb, P., Arbib, M. (eds.) Topics in Mathematical Systems Theory, McGraw-Hill, New York (1969)
Baker, A.: Nonmonotonic Reasoning in the Framework of the Situation Calculus. Artificial Intelligence 49, 5–23 (1991)
Foo, N., Peppas, P., Vo, Q.B., Zhang, D.: Circumscriptive Models and Automata. In: Proceedings NRAC 2001 Workshop. 17th International Joint Conference on Artificial Intelligence, IJCAI 2001, Seattle (August 2001)
Foo, N., Peppas, P.: System Properties of Action Theories, Working paper downloadable from http://www.cse.unsw.edu.au/ksg/Pubs/ksgworking.html
Foo, N., Nayak, A., Pagnucco, M., Zhang, D.: State Minimization Revisited. In: Stumptner, M., Corbett, D.R., Brooks, M. (eds.) Canadian AI 2001. LNCS (LNAI), vol. 2256, pp. 153–164. Springer, Heidelberg (2001)
Hanks, S., McDermott, D.: Nonmonotonic Logic and Temporal Projection. Artificial Intelligence 33, 379–412 (1987)
Lifschitz, V.: Circumscription. In: Gabbay, D.M., Hogger, C.J., Robinson, J.A. (eds.) The Handbook of Logic in Artificial Intelligence and Logic Programming, Nonmonotonic Reasoning and Uncertain Reasoning, vol. 3, pp. 297–352. Oxford University Press, Oxford (1994)
Shanahan, M.: Solving the Frame Problem: a mathematical investigation of the commonsense law of inertia. MIT Press, Cambridge (1997)
Thielscher, M.: From Situation Calculus to Fluent Calculus. Artificial Intelligence 111, 277–299 (1999)
Winslett, M.: Reasoning about actions using a possible models approach. In: Proc.Seventh National Artificial Intelligence Conference, AAAI 1988, San Mateo, CA, Morgan Kaufmann Publishers, San Francisco (1988)
Zeigler, B.P., Praehofer, H., Kim, T.G.: Theory of Modeling and Simulation:integrating discrete event and continuous complex dynamic systems, 2nd edn. Academic Press, San Diego (2000)
Winslett, M.: Reasoning about actions using a possible models approach. In: Proc.Seventh National Artificial Intelligence Conference, AAAI 1988, San Mateo, CA, Morgan Kaufmann Publishers, San Francisco (1988)
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Foo, N., Peppas, P. (2005). System Properties of Action Theories. In: Kim, T.G. (eds) Artificial Intelligence and Simulation. AIS 2004. Lecture Notes in Computer Science(), vol 3397. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30583-5_45
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DOI: https://doi.org/10.1007/978-3-540-30583-5_45
Publisher Name: Springer, Berlin, Heidelberg
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