A Double Exponential Lower Bound for Degree-Compatible Gr?bner Bases (Classic Reprint)

Chee K. Yap

ISBN 10: 1528114914 ISBN 13: 9781528114912

Verlag: Forgotten Books, 2019

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New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verk�ufers LX-9781528114912

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Excerpt from A Double Exponential Lower Bound for Degree-Compatible Gr�bner Bases

The lemma holds at w mo. We now show that if the lemma holds at w' and w' w is a forward transition then it holds at w. If this transition were an application of a start rule, this is easy to see. We next consider the finish rules in detail.

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Titel: A Double Exponential Lower Bound for ...
Verlag: Forgotten Books
Erscheinungsdatum: 2019
Einband: PAP
Zustand: New

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A Double Exponential Lower Bound for Degree-Compatible Gr� bner Bases

Chee K. Yap

Verlag: Forgotten Books, 2018

ISBN 10: 1528114914 ISBN 13: 9781528114912

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Anbieter: Forgotten Books, London, Vereinigtes K�nigreich

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Paperback. Zustand: New. Print on Demand. This book presents a theoretical construction that provides a quantitative lower bound for the degree of Grobner bases, a class of sets used to solve systems of polynomial equations. The author's method hinges on Thue systems, a type of formal grammar used to model computation. By establishing a connection between the two, the author demonstrates that Grobner bases can have a high degree of complexity, specifically a double-exponential relationship with the number of variables in the underlying system. This insight contributes to the ongoing research on Grobner bases and their computational limits, advancing our understanding of these essential tools in polynomial algebra. 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 Verk�ufers 9781528114912_0

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