Computational Complexity of Solving Equation Systems

Language: English

Published by Springer, Springer Aug 2015, 2015

3319217496 / 9783319217499

Series: Book 23 of 86 - SpringerBriefs in Philosophy

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This item is printed on demand - Print on Demand Titel. Neuware -This volume considers the computational complexity of determining whether a system of equations over a fixed algebra A has a solution. It examines in detail the two problems this leads to: SysTermSat(A) and SysPolSat(A), in which equations are built out of terms or polynomials, respectively. The book characterizes those algebras for which SysPolSat can be solved in a polynomial time. So far, studies and their outcomes have not covered algebras that generate a variety admitting type 1 in the sense of Tame Congruence Theory. Since unary algebras admit only type 1, this book focuses on these algebras to tackle the main problem. It discusses several aspects of unary algebras and proves that the Constraint Satisfaction Problem for relational structures is polynomially equivalent to SysTermSat over unary algebras. The book¿s final chapters discuss partial characterizations, present conclusions, and describe the problems that are still open.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 76 pp. Englisch.…

Seller Inventory # 9783319217499

Title
Computational Complexity of Solving Equation Systems
Author
Przemys¿aw Broniek
Publisher
Springer, Springer Aug 2015
Publication year
2015
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3319217496
ISBN 13
9783319217499
Item weight
131 grams
Dimensions
235x155x5 mm
Series
Book 23 of 86: SpringerBriefs in Philosophy

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