Abstract
The problem of ‘logical omniscience’ continues to engage attention in AI. In this paper it is argued that the problem arises from interpreting formal properties of epistemic logics into agent performance domains, where agent cognition is taken to incorporate formula-manipulation, which then mirrors inference in the logic. The case of Reactive Systems is examined, where some such systems eschew such formula-manipulation in favour of fast-acting mechanisms. A formal account of such agents’ knowledge states can still be given, but the ‘problem’ of logical omniscience re-emerges in a new light.
Chapter PDF
Similar content being viewed by others
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
Agre, P. E. & Chapman, D. (1987). Pengi: an implementation of a theory of activity. In Proceedings of the Sixth National Conference on Artificial Intelligence, pp 268–272.
Barwise, J & Perry, J. (1983). Situations and Attitudes. Bradford Books/MIT Press.
Brooks, R. A. (1986). A Robust Layered Control System for a Mobile Robot IEEE Journal of Robotics and Automation, Volume RA-2, Number 1, pp 14–23.
Chellas, B. (1980). Modal Logic: An Introduction. Cambridge University Press.
Fagirt, R. & Halpern, J.Y., (1985). Belief, Awareness, and Limited Reasoning: Preliminary Report. In Proceedings. of the Ninth International Joint Conference on Artificial Intelligence, (1JCAI-85), pp 491–501.
Fagin, R. & Halpern, J. Y (1988). Belief, Awareness and Limited Reasoning. In Artificial Intelligence 34.
Hintikka, J. (1962). Knowledge and Belief. Cornell University Press.
Kaelbling, L. P. (1986). An Architecture for Intelligent Reactive Systems. In Georgeff M. P. & Lansky A. L. (Eds.), Reasoning about Actions and Plans. Morgan Kaufmann.
Konolige, K. (1986). What Awareness Isn’t: A Sentential View of Implicit and Explicit Belief. In J. Y. Halpern (Ed.), Theoretical Aspects of Reasoning About Knowledge: Proceedings of the 1986 Conference. Morgan Kaufmann.
Levesque, H. J. (1984). A Logic of Implicit and Explicit Belief. In Proceedings of the National Conference on Artificial Intelligence, (AAAI-84), pp 198–202.
Mendelson, E. (1987). Introduction to Mathematical Logic. Wadsworth & Brooks.
Pnuelli, A. (1986). Specification and Development of Reactive Systems. Information processing 86 (IFIP). Elsevier Science.
Reichgelt, H. & Shadbolt, N. R. (1990). Logical Omniscience as a Control Problem. Paper, Department of Psychology, Nottingham University.
Seel, N. R. (1989). A Logic for Reactive System Design. Proceedings of the Seventh Conference of the Society for the Study of Artificial Intelligence and the Simulation of Behaviour, pp 201–211.
Seel, N. R. (1990a). Intentional Description of Reactive Systems. In Y. Demazeau & J-P. Muller (Eds.), Proceedings of the Second European Workshop on Modelling Autonomous Agents in a Multi-Agent World. Elsevier Science. (To appear).
Seel, N. R. (1990b). Formalising First-Order intentional Systems Theory. Technical Report. STC Technology Ltd.
Vardi, M. (1986). On Epistemic Logic and Logical Omniscience. In J. Y. Halpern (Ed.), Theoretical Aspects of Reasoning About Knowledge: Proceedings of the 1986 Conference. Morgan Kaufmann.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag London Limited
About this paper
Cite this paper
Seel, N. (1991). The ‘Logical Omniscience’ of Reactive Systems. In: Steels, L., Smith, B. (eds) AISB91. Springer, London. https://doi.org/10.1007/978-1-4471-1852-7_6
Download citation
DOI: https://doi.org/10.1007/978-1-4471-1852-7_6
Publisher Name: Springer, London
Print ISBN: 978-3-540-19671-6
Online ISBN: 978-1-4471-1852-7
eBook Packages: Springer Book Archive