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Destinies and Decidability


The notion of destinies, introduced by Nezondet, serves as a logical tool in studying open problems of number theory. This paper provides a condition sufficient for the destinies of a structure to be computable. Bibliography: 1 title.


  1. F. Nezondet, p-destinees et applications a la theorie du successeur et de la coprimarite sur les entiers, Ph. D. Thesis, Universite de Clermont-Ferrand 1 (France) (1997).

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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 304, 2003, pp. 121–127.

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Cegielski, P. Destinies and Decidability. J Math Sci 130, 4620–4623 (2005).

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  • Open Problem
  • Number Theory
  • Logical Tool