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Counting module quantifiers on finite linearly ordered trees

New Brunswick, NJ, pp.484-493, (1996)

Cited by: 3|Views98
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Abstract

We give a combinatorial method for proving elementary equivalence in first-order logic FO with counting module n quantifiers Dn. Inexpressibility results for FO(Dn) with built-in linear order are also considered. We show that certain divisibility properties of word models are not definable in FO(Dn ). We also show that the height of compl...More

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