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

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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 preorde

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https://doi.org/10.1007/978-3-322-93879-4trongly-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.

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https://doi.org/10.1007/978-3-322-93879-4We present conclusions and open problems raising from studying solving equations over unary algebras. We suggest areas that are most promising for expanding our knowledge.

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Computational Complexity of Solving Equation Systems

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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.

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