Deontic Interpreted Systems

Studia Logica - Tập 75 - Trang 63-92 - 2003
Alessio Lomuscio1, Marek Sergot2
1Department of Computer Science, King’s College London, Strand, London, UK
2Department of Computing, Imperial College, London, UK

Tóm tắt

We investigate an extension of the formalism of interpreted systems by Halpern and colleagues to model the correct behaviour of agents. The semantical model allows for the representation and reasoning about states of correct and incorrect functioning behaviour of the agents, and of the system as a whole. We axiomatise this semantic class by mapping it into a suitable class of Kripke models. The resulting logic, KD45n i-j, is a stronger version of KD, the system often referred to as Standard Deontic Logic. We extend this formal framework to include the standard epistemic notions defined on interpreted systems, and introduce a new doubly-indexed operator representing the knowledge that an agent would have if it operates under the assumption that a group of agents is functioning correctly. We discuss these issues both theoretically and in terms of applications, and present further directions of work.

Tài liệu tham khảo

Anderson, A. R., ‘A reduction of deontic logic to alethic modal logic’, Mind, 58:100-103, 1958.

Blackburn, P., M. De Rijke, and Y. Venema, Modal Logic, volume 53 of Cambridge Tracts in Theoretical Computer Science, Cambridge University Press, 2001.

Fagin, R., J. Y. Halpern, Y. Moses, and M. Y. Vardi, Reasoning about Knowledge, MIT Press, Cambridge, 1995.

Fagin, R., J. Y. Halpern, and M. Y. Vardi, ‘What can machines know? On the properties of knowledge in distributed systems’, Journal of the ACM, 39(2):328-376, April 1992.

Gabbay, D., Fibring Logics, Oxford University Press, 1998.

Goldblatt, R., Logics of Time and Computation, Second Edition, Revised and Expanded, volume 7 of CSLI Lecture Notes, CSLI, Stanford, 1992. Distributed by University of Chicago Press.

Hughes, G. E., and M. J. Cresswell, A New Introduction to Modal Logic. Routledge, New York, 1996.

Van Der Hoek, W., and J.-J. Ch. Meyer, ‘Making some issues of implicit knowledge explicit’, International Journal of Foundations of Computer Science, 3(2):193-223, 1992.

Jones, A. J. I. and M. J. Sergot, Deontic Logic in Computer Science: Normative System Specification, chapter 12: On the Characterisation of Law and Computer Systems: The Normative Systems Perspective. Wiley, 1993.

Kripke, S. A., ‘Semantic analysis of modal logic (abstract)’, Journal of Symbolic Logic, 24:323-324, 1959.

Lomuscio, A., and M. Sergot, ‘Violation, error recovery, and enforcement in the bit transmission problem’, in Proceedings of DEON'02 — Sixth International Workshop on Deontic Logic in Computer Science, London, May 2002.