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knowledge in Multiagent systems: Initial Configurations and Broadcast

ACM Transactions on Computational Logic 2000年第2期1卷 247-284页

作者： Lomuscio, Alessio R. Meyden Van Der, Ron Ryan, Mark Department of Computing Imperial College of Science Technology and Medicine London 180 Queen's Gate SW7 2BZ United Kingdom School of Computer Science and Engineering University of New South Wales Sydney 2052 Australia School of Computer Science University of Birmingham Birmingham Edgbaston B15 2TT United Kingdom

The semantic framework for the modal logic of knowledge due to Halpern and Moses provides a way to ascribe knowledge to agents in distributed and multiagent systems. In this paper we study two special cases of this framework: full systems and hypercubes. Both model static situations in which no agent has any information about another agent's state. Full systems and hypercubes are an appropriate model for the initial configurations of many systems of interest. We establish a correspondence between full systems and hypercube systems and certain classes of Kripke frames. We show that these classes of systems correspond to the same logic. Moreover, this logic is also the same as that generated by the larger class of weakly directed frames. We provide a sound and complete axiomatization, S5WDn, of this logic, and study its computational complexity. Finally, we show that under certain natural assumptions, in a model where knowledge evolves over time, S5WDn characterises the properties of knowledge not just at the initial configuration, but also at all later configurations. In particular, this holds for homogeneous broadcast systems, which capture settings in which agents are initially ignorant of each others local states, operate synchronously, have perfect recall, and can communicate only by broadcasting. © 2000, ACM. All rights reserved.

关键词： Completeness Computational complexity knowledge representation in distributed systems Modal Logic

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