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A clausal resolution for extended computation tree logic ECTL

Bolotov, Alexander (2003) A clausal resolution for extended computation tree logic ECTL. In: Reynolds, Mark and Sattar, Abdul, (eds.) Proceedings of the Combined Tenth International Symposium on Temporal Representation and Reasoning and the Fourth International Conference on Temporal Logic: TIME-ICTL 2003 Cairns, Queensland, Australia, 8-10 July 2003. IEEE Computer Society, USA, pp. 107-117. ISBN 0769519121



A temporal clausal resolution method was originally developed for linear time temporal logic and further extended to the branching-time framework of Computation Tree Logic (CTL). In this paper, following our general idea to expand the applicability of this efficient method to more expressive formalisms useful in a variety of applications in computer science and AI requiring branching time logics, we define a clausal resolution technique for Extended Computation Tree Logic (ECTL). The branching-time temporal logic ECTL is strictly more expressive than CTL, in allowing fairness operators. The key elements of the resolution method for ECTL, namely the clausal normal form, the concepts of step resolution and a temporal resolution, are introduced and justified with respect to this new framework. Although in developing these components we incorporate many of the techniques defined for CTL, we need novel mechanisms in order to capture fairness together with the limit closure property of the underlying tree models. We accompany our presentation of the relevant techniques by examples of the application of the temporal resolution method. Finally, we provide a correctness argument and consider future work discussing an extension of the method yet further, to the logic CTL*, the most powerful logic of this class.

Item Type:Book Section
Research Community:University of Westminster > Electronics and Computer Science, School of
ID Code:816
Deposited On:26 Sep 2005
Last Modified:11 Aug 2010 15:29

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