Journal of Symbolic Logic 67 (4):1541-1569 (2002)

Authors
Walter Carnielli
University of Campinas
Abstract
Fibring is recognized as one of the main mechanisms in combining logics, with great signicance in the theory and applications of mathematical logic. However, an open challenge to bring is posed by the collapsing problem: even when no symbols are shared, certain combinations of logics simply collapse to one of them, indicating that bring imposes unwanted interconnections between the given logics. Modulated bring allows a ner control of the combination, solving the collapsing problem both at the semantic and deductive levels. Main properties like soundness and completeness are shown to be preserved, comparison with bring is discussed, and some important classes of examples are analyzed with respect to the collapsing problem.
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DOI 10.2178/jsl/1190150298
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References found in this work BETA

Limits for Paraconsistent Calculi.Walter A. Carnielli & João Marcos - 1999 - Notre Dame Journal of Formal Logic 40 (3):375-390.
Fibring Logics.Dov M. Gabbay - 2000 - Studia Logica 66 (3):440-443.
Bi-Heyting Algebras, Toposes and Modalities.Gonzalo E. Reyes & Houman Zolfaghari - 1996 - Journal of Philosophical Logic 25 (1):25 - 43.
Why Combine Logics?Patrick Blackburn & Maarten de Rijke - 1997 - Studia Logica 59 (1):5 - 27.

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Citations of this work BETA

Juxtaposition: A New Way to Combine Logics.Joshua Schechter - 2011 - Review of Symbolic Logic 4 (4):560-606.
On Graph-Theoretic Fibring of Logics.A. Sernadas, C. Sernadas, J. Rasga & M. Coniglio - 2009 - Journal of Logic and Computation 19 (6):1321-1357.
Combining Logics.Walter Carnielli & Marcelo E. Coniglio - 2008 - Stanford Encyclopedia of Philosophy.

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