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Parameterized complexity in the poly...

De Haan, Ronald.

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Parameterized complexity in the polynomial hierarchy = extending parameterized complexity theory to higher levels of the hierarchy /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Parameterized complexity in the polynomial hierarchy/ by Ronald de Haan.
Reminder of title:	extending parameterized complexity theory to higher levels of the hierarchy /
Author:	De Haan, Ronald.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg : : 2019.,
Description:	xi, 398 p. :ill., digital ;24 cm.
[NT 15003449]:	Complexity Theory and Non-determinism -- Parameterized Complexity Theory -- Fpt-Reducibility to SAT -- The Need for a New Completeness Theory -- A New Completeness Theory -- Fpt-algorithms with Access to a SAT Oracle -- Problems in Knowledge Representation and Reasoning -- Model Checking for Temporal Logics -- Problems Related to Propositional Satisfiability -- Problems in Judgment Aggregation -- Planning Problems -- Graph Problems -- Relation to Other Topics in Complexity Theory -- Subexponential-Time Reductions -- Non-Uniform Parameterized Complexity -- Open Problems and Future Research Directions -- Conclusion -- Compendium of Parameterized Problems -- Generalization to Higher Levels of the Polynomial Hierarchy.
Contained By:	Springer eBooks
Subject:	Logic, Symbolic and mathematical. -
Online resource:	https://doi.org/10.1007/978-3-662-60670-4
ISBN:	9783662606704

Parameterized complexity in the polynomial hierarchy = extending parameterized complexity theory to higher levels of the hierarchy /
De Haan, Ronald.

Parameterized complexity in the polynomial hierarchyextending parameterized complexity theory to higher levels of the hierarchy /[electronic resource] :by Ronald de Haan. - Berlin, Heidelberg :Springer Berlin Heidelberg :2019. - xi, 398 p. :ill., digital ;24 cm. - Lecture notes in computer science,118800302-9743 ;. - Lecture notes in computer science ;11880..

Complexity Theory and Non-determinism -- Parameterized Complexity Theory -- Fpt-Reducibility to SAT -- The Need for a New Completeness Theory -- A New Completeness Theory -- Fpt-algorithms with Access to a SAT Oracle -- Problems in Knowledge Representation and Reasoning -- Model Checking for Temporal Logics -- Problems Related to Propositional Satisfiability -- Problems in Judgment Aggregation -- Planning Problems -- Graph Problems -- Relation to Other Topics in Complexity Theory -- Subexponential-Time Reductions -- Non-Uniform Parameterized Complexity -- Open Problems and Future Research Directions -- Conclusion -- Compendium of Parameterized Problems -- Generalization to Higher Levels of the Polynomial 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 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.

ISBN: 9783662606704

Standard No.: 10.1007/978-3-662-60670-4doiSubjects--Topical Terms:

532051
Logic, Symbolic and mathematical.

LC Class. No.: QA9.P37 / D44 2019

Dewey Class. No.: 510.1

Parameterized complexity in the polynomial hierarchy = extending parameterized complexity theory to higher levels of the hierarchy /
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505 0 $a Complexity Theory and Non-determinism -- Parameterized Complexity Theory -- Fpt-Reducibility to SAT -- The Need for a New Completeness Theory -- A New Completeness Theory -- Fpt-algorithms with Access to a SAT Oracle -- Problems in Knowledge Representation and Reasoning -- Model Checking for Temporal Logics -- Problems Related to Propositional Satisfiability -- Problems in Judgment Aggregation -- Planning Problems -- Graph Problems -- Relation to Other Topics in Complexity Theory -- Subexponential-Time Reductions -- Non-Uniform Parameterized Complexity -- Open Problems and Future Research Directions -- Conclusion -- Compendium of Parameterized Problems -- Generalization to Higher Levels of the Polynomial Hierarchy.
520 $a 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.
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