Articles

Strong Completeness Theorems for Weak Logics of Common Belief

P. MONGIN, L. Lismont

Journal of Philosophical Logics

2003, vol. 32, pp.115-137

Departments: Economics & Decision Sciences, GREGHEC (CNRS)


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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