- Dependence logic with generalized quantifiers
- Journal of Computer and System Sciences
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- Interfacultary Research Institutes
- Institute for Logic, Language and Computation (ILLC)
We prove two completeness results, one for the extension of dependence logic by a monotone generalized quantifier Q with weak interpretation, weak in the meaning that the interpretation of Q varies with the structures. The second result considers the extension of dependence logic where Q is interpreted as “there exists uncountable many.” Both of the axiomatizations are shown to be sound and complete for FO(Q) consequences.
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