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Modal Logic with Bounded Quantification over Worlds (2001)  (Make Corrections)  
Rogier M. Van Eijk, Frank S. De Boer, Wiebe Van Der Hoek, John-Jules Ch. Meyer



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Abstract: In this paper , we present a logical framework that combines modality with a first-order variable-binding mechanism. The logic, which belongs to the family of hybrid languages, differs from standard first-order modal logics in that quantification is not performed inside the worlds of a model, but the worlds in the model themselves constitute the domain of quantification. The locality principle of modal logic is preserved via the condition that in each world, the domain of quantification is... (Update)

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BibTeX entry:   (Update)

@misc{ eijk-modal,
  author = "Rogier M. Van Eijk and Frank S. De Boer and Wiebe Van Der Hoek and John-Jules
    Ch. Meyer",
  title = "Modal Logic with Bounded Quantification over Worlds",
  url = "citeseer.ist.psu.edu/vaneijk01modal.html" }
Citations (may not include all citations):
357   Algebraic laws for nondeterminism and concurrency (context) - Hennessy, Milner - 1985
203   An Introduction to Modal Logic (context) - Hughes, Cresswell - 1968
69   Modal Logic and Classical Logic (context) - van Benthem - 1983
36   Language and Information (context) - Blackburn, Seligman et al. - 1995
33   An approach to tense logic (context) - Bull - 1970
32   A road-map on the complexity of hybrid logics - Areces, Blackburn et al. - 1999
22   Propositional temporal logics and equivalences - Goltz, Kuiper et al. - 1992
18   Kluwer Academic Publishers (context) - Fitting, Mendelsohn et al. - 1998
9   Modal logics and bounded fragments of predicate logic (context) - Andreka, van Benthem et al. - 1999
7   the semantics of graded modalities (context) - van der Hoek - 1992
1   A modal logic for network topologies - van Eijk, de Boer et al. - 2000

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