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Incompatible extensions of combinatorial functions

  • Erik Ellentuck (a1)

Abstract

We find necessary and sufficient conditions for compatibility of the Myhill and the Nerode extensions of a combinatorial function to the isols.

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[1]Ellentuck, E., Nonrecursive relations among the isols, Proceedings of the American Mathematical Society, vol. 36 (1972), pp. 239245.
[2]Ellentuck, E., The positive properties of isolic integers, this Journal, vol. 37 (1972), pp. 114132.
[3]McLaughlin, T. G., On the divergence of extension procedures in isol theory, Proceedings of the American Mathematical Society, vol. 83 (1981), pp. 769773.
[4]Myhill, J., Recursive equivalence types and combinatorial functions, Bulletin of the American Mathematical Society, vol. 64 (1958), pp. 373376.
[5]Nerode, A., Extensions to isols, Annals of Mathematics, vol. 73 (1961), pp. 362403.

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