Journal of Symbolic Logic 66 (1):414-439 (2001)
|Abstract||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|
|Keywords||No keywords specified (fix it)|
|Through your library||Configure|
Similar books and articles
Ross T. Brady (1989). A Routley-Meyer Affixing Style Semantics for Logics Containing Aristotle's Thesis. Studia Logica 48 (2):235 - 241.
Giovanna Corsi (2002). A Unified Completeness Theorem for Quantified Modal Logics. Journal of Symbolic Logic 67 (4):1483-1510.
Takahiro Seki (2003). A Sahlqvist Theorem for Relevant Modal Logics. Studia Logica 73 (3):383 - 411.
Dov M. Gabbay (1999). Fibring Logics. Clarendon Press.
Carlos Caleiro & Jaime Ramos (2007). From Fibring to Cryptofibring. A Solution to the Collapsing Problem. Logica Universalis 1 (1).
Amílcar Sernadas (2000). Fibring Logics, Dov M. Gabbay. Journal of Logic, Language and Information 9 (4):511-513.
Cristina Sernadas, João Rasga & Walter A. Carnielli (2002). Modulated Fibring and the Collapsing Problem. Journal of Symbolic Logic 67 (4):1541-1569.
Marcelo E. Coniglio (2007). Recovering a Logic From its Fragments by Meta-Fibring. Logica Universalis 1 (2):377-416.
C. Caleiro, W. A. Carnielli, M. E. Coniglio, A. Sernadas & C. Sernadas (2003). Fibring Non-Truth-Functional Logics: Completeness Preservation. Journal of Logic, Language and Information 12 (2):183-211.
Frank Wolter (1997). Completeness and Decidability of Tense Logics Closely Related to Logics Above K. Journal of Symbolic Logic 62 (1):131-158.
Sorry, there are not enough data points to plot this chart.
Added to index2009-01-28
Recent downloads (6 months)0
How can I increase my downloads?