
doi: 10.2307/2274697
AbstractBy means of models in toposes of C-sets (where C is a small category), necessary conditions are found for the minimum quantified extension of a propositional (intermediate, modal) logic to be complete with respect to Kripke semantics; in particular, many well-known systems turn out to be incomplete.
Kripke frames, non-classical predicate logics, Nonclassical models (Boolean-valued, sheaf, etc.), incompleteness, Modal logic (including the logic of norms), intermediate logic, Intermediate logics, Categorical logic, topoi, Kripke completeness, Kripke semantics, C-sets, modal logic
Kripke frames, non-classical predicate logics, Nonclassical models (Boolean-valued, sheaf, etc.), incompleteness, Modal logic (including the logic of norms), intermediate logic, Intermediate logics, Categorical logic, topoi, Kripke completeness, Kripke semantics, C-sets, modal logic
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