David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Journal of Symbolic Logic 66 (1):414-439 (2001)
A completeness theorem is established for logics with congruence endowed with general semantics (in the style of general frames). As a corollary, completeness is shown to be preserved by fibring logics with congruence provided that congruence is retained in the resulting logic. The class of logics with equivalence is shown to be closed under fibring and to be included in the class of logics with congruence. Thus, completeness is shown to be preserved by fibring logics with equivalence and general semantics. An example is provided showing that completeness is not always preserved by fibring logics endowed with standard (non general) semantics. A categorial characterization of fibring is provided using coproducts and cocartesian liftings
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Joshua Schechter (2011). Juxtaposition: A New Way to Combine Logics. Review of Symbolic Logic 4 (4):560-606.
João Rasga, Walter Carnielli & Cristina Sernadas (2009). Interpolation Via Translations. Mathematical Logic Quarterly 55 (5):515-534.
J. Rasga, A. Sernadas & C. Sernadas (2014). Fibring as Biporting Subsumes Asymmetric Combinations. Studia Logica 102 (5):1041-1074.
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