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A collapse result for extensions of the Presburger arithmetic by a one-place function compatible with addition.

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Publication:556528
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DOI10.1023/B:MATN.0000043461.68759.1dzbMath1080.03022OpenAlexW2069835691MaRDI QIDQ556528

Sergey M. Dudakov

Publication date: 21 June 2005

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:matn.0000043461.68759.1d


zbMATH Keywords

locally generic queryPresburger arithmeticcollapse to orderunary function compatible with addition


Mathematics Subject Classification ID

Logic in computer science (03B70) Decidability of theories and sets of sentences (03B25) First-order arithmetic and fragments (03F30) Model theory of ordered structures; o-minimality (03C64)


Related Items (3)

On inflationary fix-point operators safety ⋮ Pseudofinite homogeneity, isolation, and reducibility ⋮ Sufficient conditions for effective translation of locally generic queries







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