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Partially ordered sets representable by recursively enumerable classes1

Published online by Cambridge University Press:  12 March 2014

J. B. Florence
J. B. Florence*
Affiliation:
Simon Fraser University and University of Western Ontario
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Extract

A partially ordered (p.o.) set (P, ≼) is represented by the recursively enumerable (r.e.) class C if (P, ≼) is order isomorphic to (C, ⊆), that is to the p.o. set consisting of C ordered by the inclusion relation. (P, ≼.) is representable if it is represented by some r.e. class. N will denote the set of natural numbers.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 34 , Issue 1 , 29 May 1969 , pp. 8 - 12
Copyright
Copyright © Association for Symbolic Logic 1969

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Footnotes

1

This work was supported in part by Canadian NRC grants A-3024, A-3040. It forms part of the author's doctoral dissertation at Simon Fraser University.

References

[1]Kleene, S. C., Introduction to metamathematics, Van Nostrand, Princeton, N.J., 1952.Google Scholar