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Decidability of the universal theory of natural numbers with addition and divisibility

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Publication:1147117
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DOI10.1007/BF01693974zbMath0449.03011MaRDI QIDQ1147117

Anatoly Petrivich Beltiukov

Publication date: 1980

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)


zbMATH Keywords

additiondivisibilityuniversal theory of natural numbers


Mathematics Subject Classification ID

Decidability (number-theoretic aspects) (11U05) Decidability of theories and sets of sentences (03B25)


Related Items (5)

A proof of Bel'tyukov-Lipshitz theorem by quasi-quantifier elimination. II: The main reduction ⋮ THE DIOPHANTINE PROBLEM FOR ADDITION AND DIVISIBILITY OVER SUBRINGS OF THE RATIONALS ⋮ The diophantine problem for addition and divisibility for subrings of rational functions over finite fields ⋮ Compositional satisfiability solving in separation logic ⋮ On parametric timed automata and one-counter machines




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