Set-Theoretic Reductions of Hilbert's Tenth Problem (Classic Reprint) - Softcover

Cantone, D.

 
9781334016745: Set-Theoretic Reductions of Hilbert's Tenth Problem (Classic Reprint)

Inhaltsangabe

This book presents a novel and effective technique for reducing Hilbert's tenth problem to decidable classes of set theory. The tenth problem concerns polynomial Diophantine equations, that is, whether or not they have integer solutions. The author demonstrates the unsolvability of the problem by providing a transformation that associates polynomial equations with unsatisfiable formulas in elementary set theory. By reducing Hilbert's problem to set theory in this way, the author provides a new perspective on the problem and its implications for the foundations of mathematics.

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Excerpt from Set-Theoretic Reductions of Hilbert's Tenth Problem

Finally, ih [gog78] and [gog79] it is shown the completeness of two classes of sentences of set theory.

In view of this vast body of results, the problem to set upper bounds to the decidable is then of the utmost importance for understanding how much of set theory one can hope to mechanize.

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9780267458554: Set-Theoretic Reductions of Hilbert's Tenth Problem (Classic Reprint)

Vorgestellte Ausgabe

ISBN 10:  026745855X ISBN 13:  9780267458554
Verlag: Forgotten Books, 2018
Hardcover