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Some generalized Sheffer functions

Published online by Cambridge University Press:  24 October 2008

Alan Rose
Alan Rose
Affiliation:
King's CollegeAberdeen
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Extract

It was shown by Sheffer that all functions of the two-valued propositional calculus can be denned in terms of a single primitive. This result has been extended by Post (3) and Webb (5) to the functionally complete m-valued propositional calculus. We shall consider here similar extensions for the extended propositional calculus and for the (functionally incomplete) systems of Łukasiewicz (1).

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 48 , Issue 3 , July 1952 , pp. 369 - 373
Copyright
Copyright © Cambridge Philosophical Society 1952

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References

REFERENCES

(1)Łukasiewicz, Jan and Tarski, , Alfred, . Untersuchungen über den Aussagenkalkül. C.R. Soc. Sci. Varsovie (3), 23 (1930), 30–50.Google Scholar
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(5)Webb, Donald L.Generation of any n-valued logic by one binary operator. Proc. vat. Acad. Sci., Wash., 21 (1935), 252–4.CrossRefGoogle Scholar