Strong completeness theorems for weak logics of common belief
Journal of Philosophical Logic 32 (2):115-137 (2003)
| Abstract | We show that several logics of common belief and common knowledge are not only complete, but also strongly complete, hence compact. These logics involve a weakened monotonicity axiom, and no other restriction on individual belief. The semantics is of the ordinary fixed-point type. | |||||||||
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Giacomo Bonanno (1999). Varieties of Interpersonal Compatibility of Beliefs. In Jelle Gerbrandy, Maarten Marx, Maarten de Rijke & Yde Venema (eds.), Essays dedicated to Johan van Benthem on the occasion of his 50th birthday. Amsterdam University Press.
Mamoru Kaneko, Takashi Nagashima, Nobu-Yuki Suzuki & Yoshihito Tanaka (2002). A Map of Common Knowledge Logics. Studia Logica 71 (1):57-86.
Silvio Ghilardi & Pierangelo Miglioli (1999). On Canonicity and Strong Completeness Conditions in Intermediate Propositional Logics. Studia Logica 63 (3):353-385.
John Cantwell (2000). Logics of Belief Change Without Linearity. Journal of Symbolic Logic 65 (4):1556-1575.
Norihiro Kamide (2003). Normal Modal Substructural Logics with Strong Negation. Journal of Philosophical Logic 32 (6):589-612.
Camillo Fiorentini (2000). All Intermediate Logics with Extra Axioms in One Variable, Except Eight, Are Not Strongly Ω-Complete. Journal of Symbolic Logic 65 (4):1576-1604.
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