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Titlebook: Computational Complexity of Solving Equation Systems; Przemys?aw Broniek Book 2015 The Author(s) 2015 four-element 2-valued algebras.gener

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發(fā)表于 2025-3-21 17:36:25 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Computational Complexity of Solving Equation Systems
編輯Przemys?aw Broniek
視頻videohttp://file.papertrans.cn/233/232210/232210.mp4
概述Introduces the reader to problems of solving systems of equations.Describes and explains past solutions and provides definitions.Reflects the state of the art in solving equation systems.Includes supp
叢書(shū)名稱SpringerBriefs in Philosophy
圖書(shū)封面Titlebook: Computational Complexity of Solving Equation Systems; Przemys?aw Broniek Book 2015 The Author(s) 2015 four-element 2-valued algebras.gener
描述.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..
出版日期Book 2015
關(guān)鍵詞four-element 2-valued algebras; generic operations with few values; open problems; reducing CSP to SYST
版次1
doihttps://doi.org/10.1007/978-3-319-21750-5
isbn_softcover978-3-319-21749-9
isbn_ebook978-3-319-21750-5Series ISSN 2211-4548 Series E-ISSN 2211-4556
issn_series 2211-4548
copyrightThe Author(s) 2015
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 22:27:48 | 只看該作者
SpringerBriefs in Philosophyhttp://image.papertrans.cn/c/image/232210.jpg
板凳
發(fā)表于 2025-3-22 02:57:33 | 只看該作者
地板
發(fā)表于 2025-3-22 06:13:54 | 只看該作者
Berechnung mit Tabellenkalkulation,nitions and describing the state of the art. We reference the most relevant work in the area and present existing classifications and dichotomies. We also introduce key definitions for the next chapters and give motivation for exploring unary algebras.
5#
發(fā)表于 2025-3-22 08:56:48 | 只看該作者
Stahlgelenkketten und Kettentriebewith the simplification algorithm that transforms each system of equations into a more regular one at the expense of adding some definable constraints. Finally we give computational complexity characterization of SysTermSat over three-element unary algebras that depends on width of a special preorder constructed from given algebra.
6#
發(fā)表于 2025-3-22 16:10:44 | 只看該作者
7#
發(fā)表于 2025-3-22 20:34:51 | 只看該作者
Introduction,nitions and describing the state of the art. We reference the most relevant work in the area and present existing classifications and dichotomies. We also introduce key definitions for the next chapters and give motivation for exploring unary algebras.
8#
發(fā)表于 2025-3-22 23:52:53 | 只看該作者
Unary Algebras,with the simplification algorithm that transforms each system of equations into a more regular one at the expense of adding some definable constraints. Finally we give computational complexity characterization of SysTermSat over three-element unary algebras that depends on width of a special preorder constructed from given algebra.
9#
發(fā)表于 2025-3-23 04:45:59 | 只看該作者
Partial Characterizations,trongly-2-generated and strongly-3-valued unary algebras. We also classify 2-valued four-element unary algebras. Finally we present a diagram of subclasses of four-element algebras that have computational complexity dichotomies and describe subclasses that need further work.
10#
發(fā)表于 2025-3-23 06:42:54 | 只看該作者
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