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Decidability of extended theories of addition of the natural numbers and the integers

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Literature Cited

  1. Yu. G. Penzin, “Algorithmic questions in number theory,” Algebra (Irkutsk), No. 3, 120–148 (1974).

    Google Scholar 

  2. A. A. Ivanov, “Extended theories of certain classes of Abelian groups and lattices of subgroups,” in: Fifth All-Union Conference on Mathematical Logic [in Russian], Novosibirsk (1979), p. 56.

  3. M. O. Rabin, “Definability of second-order theories and automata on infinite trees,” Trans. Am. Math. Soc.,141, 1–35 (1969).

    Google Scholar 

  4. J. R. Büchi, “Weak second-order arithmetic and finite automata,” Z. Math. Logik Grundlagen Math.,6, 66–92 (1960).

    Google Scholar 

  5. Yu. L. Ershov, I. A. Lavrov, A. D. Taimanov, and M. A. Taitslin, “Elementary theories,” Usp. Mat. Nauk,20, No. 4, 37–106 (1965).

    Google Scholar 

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 4, pp. 78–81, July–August, 1984.

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Ivanov, A.A. Decidability of extended theories of addition of the natural numbers and the integers. Sib Math J 25, 572–574 (1984). https://doi.org/10.1007/BF00968894

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  • DOI: https://doi.org/10.1007/BF00968894

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