Parameterized Complexity in the Polynomial Hierarchy Extending Parameterized Complexity Theory to Higher Levels of the Hierarchy

The book presents the co-recipient of the E.W. Beth Dissertation Prize 2017 for outstanding dissertations in the fields of logic, language, and information. This work extends the theory of parameterized complexity to higher levels of the Polynomial Hierarchy (PH). For problems at higher levels of th...

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Bibliographic Details
Main Author: de Haan, Ronald
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2019, 2019
Edition:1st ed. 2019
Series:Theoretical Computer Science and General Issues
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Description
Summary:The book presents the co-recipient of the E.W. Beth Dissertation Prize 2017 for outstanding dissertations in the fields of logic, language, and information. This work extends the theory of parameterized complexity to higher levels of the Polynomial Hierarchy (PH). For problems at higher levels of the PH, a promising solving approach is to develop fixed-parameter tractable reductions to SAT, and to subsequently use a SAT solving algorithm to solve the problem. In this dissertation, a theoretical toolbox is developed that can be used to classify in which cases this is possible. The use of this toolbox is illustrated by applying it to analyze a wide range of problems from various areas of computer science and artificial intelligence
Physical Description:XI, 398 p. 1349 illus online resource
ISBN:9783662606704