Temporal Definability of Regular Model Classes
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Major Project of National Social Science Foundation of China (14ZDB016)

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    Abstract:

    Regular models are models for non-normal modal logics. By defining some model operations, including disjoint union, C2t- bisimulation, generated submodel, and C2t-ultrafilter extension, this study proves that a class of regular models can be defined in the temporal language if and only if it is closed under disjoint unions, surjective C2t-bisimulations and C2t-ultrafilter extensions, while its complement is closed under ultrafilter extensions. This characterization theorem explains the expressive power of temporal language over regular models.

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王善侠,马明辉,陈武,邓辉文.正则模型类的时态可定义性.软件学报,2017,28(5):1070-1079

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History
  • Received:June 30,2016
  • Revised:September 25,2016
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  • Online: January 22,2017
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