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Presheaf semantics and independence results for some non-classical first-order logics
Authors:Silvio Ghilardi
Institution:(1) Dipartimento di Matematica ldquoFederigo Enriquesrdquo, Università degli Studi di Milano, Via C. Saldini 50, I-20133 Milano, Italy
Abstract:The logicD-J of the weak exluded middle with constant domains is proved to be incomplete with respect to Kripke semantics, by introducing models in presheaves on an arbitrary category. Additional incompleteness results are obtained for the modal systems with nested domains extendingQ-S4.1.
Keywords:
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