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The ‘Logical Omniscience’ of Reactive Systems

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AISB91
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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.

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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.

    Google Scholar 

  • Barwise, J & Perry, J. (1983). Situations and Attitudes. Bradford Books/MIT Press.

    Google Scholar 

  • 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.

    Article  MathSciNet  Google Scholar 

  • Chellas, B. (1980). Modal Logic: An Introduction. Cambridge University Press.

    Google Scholar 

  • 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.

    Google Scholar 

  • Fagin, R. & Halpern, J. Y (1988). Belief, Awareness and Limited Reasoning. In Artificial Intelligence 34.

    Google Scholar 

  • Hintikka, J. (1962). Knowledge and Belief. Cornell University Press.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • Mendelson, E. (1987). Introduction to Mathematical Logic. Wadsworth & Brooks.

    Google Scholar 

  • Pnuelli, A. (1986). Specification and Development of Reactive Systems. Information processing 86 (IFIP). Elsevier Science.

    Google Scholar 

  • Reichgelt, H. & Shadbolt, N. R. (1990). Logical Omniscience as a Control Problem. Paper, Department of Psychology, Nottingham University.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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).

    Google Scholar 

  • Seel, N. R. (1990b). Formalising First-Order intentional Systems Theory. Technical Report. STC Technology Ltd.

    Google Scholar 

  • 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.

    Google Scholar 

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© 1991 Springer-Verlag London Limited

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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

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  • 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

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