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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.

Information

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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