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Some independence results for control structures in complete numberings

Published online by Cambridge University Press:  12 March 2014

Sanjay Jain  and
Jochen Nessel
Sanjay Jain
Affiliation:
National University of Singapore, School of Computing, Singapore. 119260, Singapore, E-mail: [email protected]
Jochen Nessel
Affiliation:
Universität Kaiserslautern, FB Informatik, Postfach 3049. 67653. Kaiserslautern, Germany, E-mail: [email protected]
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Abstract

Acceptable programming systems have many nice properties like s-m-n-Theorem, Composition and Kleene Recursion Theorem. Those properties are sometimes called control structures, to emphasize that they yield tools to implement programs in programming systems. It has been studied, among others by Riccardi and Royer, how these control structures influence or even characterize the notion of acceptable programming system. The following is an investigation, how these control structures behave in the more general setting of complete numberings as defined by Mal'cev and Eršov.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 66 , Issue 1 , March 2001 , pp. 357 - 382
Copyright
Copyright © Association for Symbolic Logic 2001

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