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A note on recursive functions†

Published online by Cambridge University Press:  04 March 2009

Nicoletta Sabadini ,
Sebastiano Vigna  and
Robert F. C. Walters
Nicoletta Sabadini
Affiliation:
Dipartimento di Scienze dell’Informazione, Università di Milano, Italy.
Sebastiano Vigna
Affiliation:
Dipartimento di Scienze dell’Informazione, Università di Milano, Italy.
Robert F. C. Walters
Affiliation:
School of Mathematics and Statistics, University of Sydney, Australia.
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Abstract

In this paper, we propose a new and elegant definition of the class of recursive functions, which is analogous to Kleene's definition but differs in the primitives taken, thus demonstrating the computational power of the concurrent programming language introduced in Walters (1991), Walters (1992) and Khalil and Walters (1993).

The definition can be immediately rephrased for any distributive graph in a countably extensive category with products, thus allowing a wide, natural generalization of computable functions.

Type
Research Article
Information
Mathematical Structures in Computer Science , Volume 6 , Issue 2 , April 1996 , pp. 127 - 139
Copyright
Copyright © Cambridge University Press 1996

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References

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