Studia Logica 100 (3):545-581 (2012)
Abstract |
The novel notion of importing logics is introduced, subsuming as special cases several kinds of asymmetric combination mechanisms, like temporalization [8, 9], modalization [7] and exogenous enrichment [13, 5, 12, 4, 1]. The graph-theoretic approach proposed in [15] is used, but formulas are identified with irreducible paths in the signature multi-graph instead of equivalence classes of such paths, facilitating proofs involving inductions on formulas. Importing is proved to be strongly conservative. Conservative results follow as corollaries for temporalization, modalization and exogenous enrichment
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Keywords | Combined logics Importing logics Temporalization Modalization Exogenous enrichment |
Categories | (categorize this paper) |
ISBN(s) | |
DOI | 10.1007/s11225-012-9414-y |
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References found in this work BETA
Intuitionistic Logic.Dirk van Dalen - 2002 - In D. M. Gabbay & F. Guenthner (eds.), ¸ Itegabbay2002. Kluwer Academic Publishers. pp. 1-115.
Adding a Temporal Dimension to a Logic System.Marcelo Finger & Dov M. Gabbay - 1992 - Journal of Logic, Language and Information 1 (3):203-233.
Adding a Temporal Dimension to a Logic.Dov M. Gabbay & Marcelo Finger - 1992 - Journal of Logic, Language and Information 1 (3):203-233.
A Graph-Theoretic Account of Logics.A. Sernadas, C. Sernadas, J. Rasga & Marcelo E. Coniglio - 2009 - Journal of Logic and Computation 19 (6):1281-1320.
The Unrestricted Combination of Temporal Logic Systems.Marcelo Finger & M. Weiss - 2002 - Logic Journal of the IGPL 10 (2):165-189.
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Citations of this work BETA
Combining Logics.Walter Carnielli & Marcelo E. Coniglio - 2008 - Stanford Encyclopedia of Philosophy.
Importing Logics: Soundness and Completeness Preservation. [REVIEW]J. Rasga, A. Sernadas & C. Sernadas - 2013 - Studia Logica 101 (1):117-155.
Fibring as Biporting Subsumes Asymmetric Combinations.J. Rasga, A. Sernadas & C. Sernadas - 2014 - Studia Logica 102 (5):1041-1074.
Probabilization of Logics: Completeness and Decidability. [REVIEW]Pedro Baltazar - 2013 - Logica Universalis 7 (4):403-440.
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