منابع مشابه
Coalgebraic Logic
We present a generalization of modal logic to logical systems which are interpreted on coalgebras of functors on sets. The leading idea is that innnitary modal logic contains characterizing formulas. That is, every model-world pair is characterized up to bisimulation by an innnitary formula. The point of our generalization is to understand this on a deeper level. We do this by studying a frangm...
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We introduce an axiomatization for the coalgebraic fixed point logic which was introduced by Venema as a generalization, based on Moss’ coalgebraic modality, of the well-known modal mucalculus. Our axiomatization can be seen as a generalization of Kozen’s proof system for the modal mu-calculus to the coalgebraic level of generality. It consists of a complete axiomatization for Moss’ modality, e...
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General logic programs with negation have the 3-valued minimal Herbrand models based on the Kripke’s fixpoint knowledge revision operator and on Clark’s completion. Based on these results we deifine a new algebra , (with the relational algebra embedded in it), and present an algorithmic transformation of logic programs into the system of tuple-variable equations which is a -coalgebra. The solut...
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We investigate logics for coalgebraic simulation from a compositional perspective. Specifically, we show that the expressiveness of an inductively-defined language for coalgebras w.r.t. a given notion of simulation comes as a consequence of an expressivity condition between the language constructor used to define the language for coalgebras, and the relator used to define the notion of simulati...
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We introduce a generic framework for hybrid logics, i.e. modal logics additionally featuring nominals and satisfaction operators, thus providing the necessary facilities for reasoning about individual states in a model. This framework, coalgebraic hybrid logic, works at the same level of generality as coalgebraic modal logic, and in particular subsumes, besides normal hybrid logics such as hybr...
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ژورنال
عنوان ژورنال: Electronic Notes in Theoretical Computer Science
سال: 2000
ISSN: 1571-0661
DOI: 10.1016/s1571-0661(05)80343-3