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Decidability and finite axiomatizability of theories of ℵ0-categorical partially ordered sets

Published online by Cambridge University Press:  12 March 2014

James H. Schmerl
James H. Schmerl*
Affiliation:
University of Connecticut, Storrs, Connecticut 06268
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Abstract

Every ℵ0-categorical partially ordered set of finite width has a finitely axiomatizable theory. Every ℵ0-categorical partially ordered set of finite weak width has a decidable theory. This last statement constitutes a major portion of the complete (with three exceptions) characterization of those finite partially ordered sets for which any ℵ0-categorical partially ordered set not embedding one of them has a decidable theory.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 46 , Issue 1 , March 1981 , pp. 101 - 120
Copyright
Copyright © Association for Symbolic Logic 1981

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References

REFERENCES

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