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Generalised weak presentations

Published online by Cambridge University Press:  12 March 2014

Alexandra Shlapentokh*
Affiliation:
East Carolina University, Department of Mathematics, Greenville, NC 27858., USA, E-mail: shlapentokha@mail.ecu.edu

Abstract

Let K be a computable field. Let ℱ be a collection of recursive functions over K, possibly including field operations. We investigate the following question. Given an r.e. degree . is there an injective map j : K → ℕ such that j(K) is of degree a and all the functions in ℱ are translated by restrictions of total recursive functions.

Information

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 2002

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