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Importing Logics: Soundness and Completeness Preservation

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Abstract

Importing subsumes several asymmetric ways of combining logics, including modalization and temporalization. A calculus is provided for importing, inheriting the axioms and rules from the given logics and including additional rules for lifting derivations from the imported logic. The calculus is shown to be sound and concretely complete with respect to the semantics of importing as proposed in J. Rasga et al. (100(3):541–581, 2012) Studia Logica.

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Authors and Affiliations

  1. Dep. Matemática, Instituto Superior Técnico, Instituto de Telecomunicações, Universidade Técnica de Lisboa, SQIG, Lisboa, Portugal

    J. Rasga, A. Sernadas & C. Sernadas

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  1. J. Rasga
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  2. A. Sernadas
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  3. C. Sernadas
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Correspondence to J. Rasga.

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Rasga, J., Sernadas, A. & Sernadas, C. Importing Logics: Soundness and Completeness Preservation. Stud Logica 101, 117–155 (2013). https://doi.org/10.1007/s11225-011-9363-x

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  • DOI: https://doi.org/10.1007/s11225-011-9363-x

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