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

Daniele Mundici

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Source: Crossref

Published: Jun 1, 1994

DOI: 10.2307/2275410

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Source abstract

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.

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A constructive proof of McNaughton's theorem in infinite-valued logic — Mathematical Frontier Network