Sahlqvist Formulas Unleashed in Polyadic Modal Languages
نویسندگان
چکیده
منابع مشابه
Sahlqvist Formulas in Hybrid Polyadic Modal Logics
Building on a new approach to polyadic modal languages and Sahlqvist formulas introduced in [10] we define Sahlqvist formulas in hybrid polyadic modal languages containing nominals and universal modality or satisfaction operators. Particularly interesting is the case of reversive polyadic languages, closed under all ‘inverses’ of polyadic modalities because the minimal valuations arising in the...
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We generalize and extend the class of Sahlqvist formulae in arbitrary polyadic modal languages, to the class of so called inductive formulae. To introduce them we use a representation of modal polyadic languages in a combinatorial style and thus, in particular, develop what we believe to be a better syntactic approach to elementary canonical formulae altogether. By generalizing the method of mi...
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Hybrid logics extends modal logic with a special sort of variables, called nominals, which are evaluated to singletons in Kripke models by valuations, thus acting as names for states in models, see e.g., [1], [2] and [7]. Various other connectives which capitalize on this naming power of the nominals and, in so doing, enhance the expressive power of these languages even further, can be included...
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Sahlqvist correspondence theory [3], [4] is one of the most important and useful results of classical modal logic. It gives a syntactic identification of a class of modal formulas whose associated normal modal logics are strongly complete with respect to elementary (i.e. first-order definable) classes of frames. Every Sahlqvist formula is both canonical and corresponds to some elementary frame ...
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