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Abstract: The guarded fragment (GF) was introduced by Andréka, van Benthem and Németi as a fine-structure of first order logic which combines a great expressive power with nice modal behavior. It consists of relational first order formulas whose quantifiers are relativized by atoms in a certain way. Slightly generalizing the admissible relativizations yields the packed fragment (PF). In this paper we chart the behavior of these fragments with regard to interpolation. While GF and PF have... (Update)
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BibTeX entry: (Update)
E. Hoogland and M. Marx. Interpolation in guarded fragments. Technical report, Institute for Logic, Language and Computation, University of Amsterdam, 1999. http://citeseer.ist.psu.edu/hoogland00interpolation.html More
@techreport{ hoogland99interpolation,
author = "E. Hoogland and M. Marx",
title = "Interpolation in guarded fragments",
institution = "Institute for Logic, Language and Computation, University of
Amsterdam",
year = "1999",
url = "citeseer.ist.psu.edu/hoogland00interpolation.html" }
Citations (may not include all citations):
68
Why is modal logic so robustly decidable
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40
the restraining power of guards
- Gr, On - 1999
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Beth's and Craig's properties via epimorphisms and amalgamat.. (context) - Sain - 1990
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Guarded xed point logic (context) - Gr, Walukiewicz - 1999
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A modal logic of relations (context) - Venema, Marx
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Failure of interpolation in combined modal logics
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Language and Computation (context) - van Benthem, pieces et al. - 1997
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Language and Computation (context) - van Benthem, in et al. - 1998
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Modal logics and bounded fragments of predicate logic (context) - Andr, van Benthem et al. - 1998
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Finite algebras of relations are representable on nite sets (context) - Andr, Hodkinson et al. - 1999
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Classes without the amalgamation property (context) - Comer - 1969
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congruence extension and interpolation properties in algebra.. (context) - Pigozzi - 1972
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Modal foundations for predicate logic (context) - van Benthem
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Cylindric relativised set algebras have strong amalgamation (context) - emeti - 1985
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Interpolation in modal logic
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Faculteit der Exacte Wetenschappen (context) - Marx, Technical - 1999
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Finite variable logics
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An analog of Beth's theorem in normal extensions of the moda.. (context) - Maksimova - 1992
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