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On subsets of the Skolem class of exponential polynomials

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References

  1. A. EHRENFEUCHT: Polynomial functions with exponentiation are well ordered. Algebra Universalis 3 (1973), pp. 261–262.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. J.B. KRUSKAL: Well-quasi-ordering, the tree theorem, and Vazsonyi's conjecture. Trans. Amer. Math. Soc. 95 (1960), pp. 210–225.

    MathSciNet  MATH  Google Scholar 

  3. H. LEVITZ: An ordered set of arithmetic functions representing the least ε-number. Zeitschr. f. math. Logik und Grundlagen d. Math. Bd. 21, S115–120 (1975).

    CrossRef  MathSciNet  Google Scholar 

  4. H. LEVITZ: An ordinal bound for the set of polynomial functions with exponentiation. Algebra Universalis 8 (1978), 233–243.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. H. LEVITZ: Decidability of some problems pertaining to base 2 exponential diophantine equations. To appear, Zeitschr. f. math. Logik und Grundlagen d. Math.

    Google Scholar 

  6. R. McBETH: Fundamental squences for exponential polynomials. Zeitschr. f. math. Logik und Grundlagen d. Math. Bd. 26, S115–122 (1980).

    CrossRef  MathSciNet  Google Scholar 

  7. D. RICHARDSON: Solution of the identity problem for integral exponential functions. Zeitschr. f. math. Logik und Grundlagen d. Math. Bd. 15, S. 333–340 (1969).

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. TH. SKOLEM: An ordered set of arithmetic functions representing the least ε-number. DET KONGELIGE NORSKE VIDENSKABERS SELKABS FORHANDLINGER Bind 29 (1956) Nr. 12.

    Google Scholar 

  9. P.H. SLESSENGER: A height restricted generation of a set of arithmetic functions of order-type ε0. To appear, Zeitschr. f. math. Logik und Grundlagen d. Math.

    Google Scholar 

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© 1984 Springer-Verlag

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Slessenger, P.H. (1984). On subsets of the Skolem class of exponential polynomials. In: Börger, E., Oberschelp, W., Richter, M.M., Schinzel, B., Thomas, W. (eds) Computation and Proof Theory. Lecture Notes in Mathematics, vol 1104. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099495

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  • DOI: https://doi.org/10.1007/BFb0099495

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