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An algorithm to determine, for any prime p, a polynomial-sized Horn sentence which expresses “The cardinality is not p”

Published online by Cambridge University Press:  12 March 2014

Sauro Tulipani
Sauro Tulipani*
Affiliation:
Department of Mathematics and Physics, University of Camerino, 62032 (MC) Camerino, Italy
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Abstract

Given a prime p, we exhibit a Horn sentence Hp which expresses “the cardinality is not p” and has size O(p5 log p).

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 50 , Issue 4 , December 1985 , pp. 1062 - 1064
Copyright
Copyright © Association for Symbolic Logic 1985

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References

REFERENCES

[Ap 1959] Appel, K. I., Horn sentences in identity theory, this Journal, vol. 24, pp. 306–310.Google Scholar
[B1 1984] Blass, A., There are not exactly five objects, this Journal, vol. 49, pp. 467–469.Google Scholar