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Common knowledge and update in finite environments. I: extended abstract

Published: 13 March 1994 Publication History

Abstract

This paper studies the model checking problem for knowledge formulae in the S5<sub><i>n</i></sub> Kripke structures generated by finite state environments in which states determine an observation for each agent. Agents have perfect recall, and may operate synchronously or asynchronously. Common knowledge formulae are shown to be be intractable, but efficient incremental algorithms are developed for formulae containing only knowledge operators. Connections to knowledge updates and compilation of knowledge based protocols are discussed.

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Cited By

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  • (1996)Knowledge based programsProceedings of the 6th conference on Theoretical aspects of rationality and knowledge10.5555/1029693.1029697(31-49)Online publication date: 17-Mar-1996
  • (1996)Local knowledge assertions in a changing worldProceedings of the 6th conference on Theoretical aspects of rationality and knowledge10.5555/1029693.1029694(1-14)Online publication date: 17-Mar-1996
  1. Common knowledge and update in finite environments. I: extended abstract

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    Published In

    cover image Guide Proceedings
    TARK '94: Proceedings of the 5th conference on Theoretical aspects of reasoning about knowledge
    March 1994
    348 pages
    ISBN:155860331X
    • Editor:
    • Ronald Fagin

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    Morgan Kaufmann Publishers Inc.

    San Francisco, CA, United States

    Publication History

    Published: 13 March 1994

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    View all
    • (1996)Knowledge based programsProceedings of the 6th conference on Theoretical aspects of rationality and knowledge10.5555/1029693.1029697(31-49)Online publication date: 17-Mar-1996
    • (1996)Local knowledge assertions in a changing worldProceedings of the 6th conference on Theoretical aspects of rationality and knowledge10.5555/1029693.1029694(1-14)Online publication date: 17-Mar-1996

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