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The Craig-Lyndon interpolation theorem in 3-valued logic

Published online by Cambridge University Press:  12 March 2014

R. R. Rockingham Gill
R. R. Rockingham Gill*
Affiliation:
University of St. Andrews
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Extract

The purpose of this paper is to provide a formal system which is (a) adequate (functionally complete), (b) consistent, and (c) complete, relative to 3-valued logic with one designated value, and for which, furthermore, (d) a simple normal form theorem, and (e) the Craig-Lyndon Interpolation Theorem [1], [2] holds.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 35 , Issue 2 , June 1970 , pp. 230 - 238
Copyright
Copyright © Association for Symbolic Logic 1970

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References

[1]Craig, W., Linear reasoning. A new form of the Herbrand-Gentzen theorem, this Journal, vol. 22 (1957), pp. 250–268.Google Scholar
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