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A constructive proof of McNaughton's theorem in infinite-valued logic

Published online by Cambridge University Press:  12 March 2014

Daniele Mundici
Daniele Mundici*
Affiliation:
Department of Computer Science, University of Milan, via Comelico 39-41, 20135 Milan, Italy, E-mail: mundici@imiucca.csi.unimi.it
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Abstract

We give a constructive proof of McNaughton's theorem stating that every piecewise linear function with integral coefficients is representable by some sentence in the infinite-valued calculus of Lukasiewicz. For the proof we only use Minkowski's convex body theorem and the rudiments of piecewise linear topology.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 59 , Issue 2 , June 1994 , pp. 596 - 602
Copyright
Copyright © Association for Symbolic Logic 1994

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References

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