Computational Complexity of Solving Equation SystemsUnary Algebras
Computational Complexity of Solving Equation Systems: Unary Algebras
Broniek, Przemysław
2015-07-25 00:00:00
[We introduce the definition of unary algebra as well as subclasses of it called k-valued, strongly-k-valued and strongly-k-generated. Then we proceed 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.]
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Computational Complexity of Solving Equation SystemsUnary Algebras
[We introduce the definition of unary algebra as well as subclasses of it called k-valued, strongly-k-valued and strongly-k-generated. Then we proceed 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.]
Published: Jul 25, 2015
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