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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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Set-Theoretic Reductions of Hilbert's Tenth Problem (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. 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. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781334016745_0
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SetTheoretic Reductions of Hilbert's Tenth Problem Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LX-9781334016745
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SetTheoretic Reductions of Hilbert's Tenth Problem Classic Reprint
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LX-9781334016745
Anzahl: 15 verfügbar