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Journal of Logic and Computation 1998 8(3):345-372; doi:10.1093/logcom/8.3.345
© 1998 by Oxford University Press
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Original Articles

Resolution for Temporal Logics of Knowledge

CLARE DIXON, MICHAEL FISHER and MICHAEL WOOLDRIDGE

Department of Computing and Mathematics, Manchester Metropolitan University Manchester, Ml 5GD. E-mail: C.DixonM.Fisher{at}doc.mmu.ac.uk
Department of Electronic Engineering, Queen Mary and Westfield College London El 4NS. E-mail: M.J.Wooldridge{at}qmw.ac.uk

A resolution-based proof system for a temporal logic of knowledge is presented and shown to be correct. Such logics are useful for proving properties of distributed and multi-agent systems. Examples are given to illustrate the proof system. An extension of the basic system to the multi-modal case is given and illustrated using the ‘muddy children problem’.

Keywords: Temporal logic; logics of knowledge; proof; resolution


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