Hybrid logics with Sahlqvist axioms

Logic Journal of the IGPL(2005)

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摘要
We show that every extension of the basic hybrid logic with modal Sahlqvist axioms is complete. As a corollary of our approach, we also obtain the Beth property for a large class of hybrid logics. Finally, we show that the new completeness result cannot be combined with the existing general completeness result for pure axioms.
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关键词
hybrid logic,completeness,Beth property,Sahlqvist theory
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