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On η-valued functionally complete truth functions

Published online by Cambridge University Press:  12 March 2014

R. L. Graham
R. L. Graham*
Affiliation:
Bell Telephone Laboratories, Murray Hill, New Jersey
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Extract

It is well known that the familiar Sheffer stroke function of the 2-valued propositional calculus is functionally complete (i.e., for any m, all 22m truth functions of m variables can be defined1 in terms of the stroke function). Indeed, it is not difficult to show that of the 16 2-valued functions of two variables, exactly two of them are functionally complete.

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Type
Research Article
Information
The Journal of Symbolic Logic , Volume 32 , Issue 2 , August 1967 , pp. 190 - 195
Copyright
Copyright © Association for Symbolic Logic 1967

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References

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