Complexity of infinite-domain constraint satisfaction:
Constraint Satisfaction Problems (CSPs) are natural computational problems that appear in many areas of theoretical computer science. Exploring which CSPs are solvable in polynomial time and which are NP-hard reveals a surprising link with central questions in universal algebra. This monograph prese...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge, United Kingdom ; New York, NY, USA ; Port Melbourne, VIC, Australia ; New Delhi, India ; Singapore
Cambridge University Press
2021
|
| Series: | Lecture notes in logic
52 |
| Subjects: | |
| Online Access: | BSB01 FHN01 TUM01 TUM02 Volltext |
| Summary: | Constraint Satisfaction Problems (CSPs) are natural computational problems that appear in many areas of theoretical computer science. Exploring which CSPs are solvable in polynomial time and which are NP-hard reveals a surprising link with central questions in universal algebra. This monograph presents a self-contained introduction to the universal-algebraic approach to complexity classification, treating both finite and infinite-domain CSPs. It includes the required background from logic and combinatorics, particularly model theory and Ramsey theory, and explains the recently discovered link between Ramsey theory and topological dynamics and its implications for CSPs. The book will be of interest to graduate students and researchers in theoretical computer science and to mathematicians in logic, combinatorics, and dynamics who wish to learn about the applications of their work in complexity theory |
| Item Description: | Title from publisher's bibliographic system (viewed on 28 May 2021) Introduction to constraint satisfaction problems -- Model theory -- Primitive positive interpretations -- Countably categorical structures -- Examples -- Universal algebra -- Equality constraint satisfaction problems -- Datalog -- Topology -- Oligomorphic clones -- Ramsey theory -- Temporal constraint satisfaction problems -- Non-dichotomies -- Conclusion and outlook |
| Physical Description: | 1 Online-Ressource (ix, 524 Seiten) Illustrationen |
| ISBN: | 9781107337534 |
| DOI: | 10.1017/9781107337534 |
Staff View
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| isbn | 9781107337534 |
| language | English |
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| spelling | Bodirsky, Manuel 1976- (DE-588)129742422 aut Complexity of infinite-domain constraint satisfaction Manuel Bodirsky Cambridge, United Kingdom ; New York, NY, USA ; Port Melbourne, VIC, Australia ; New Delhi, India ; Singapore Cambridge University Press 2021 1 Online-Ressource (ix, 524 Seiten) Illustrationen txt rdacontent c rdamedia cr rdacarrier Lecture notes in logic 52 Title from publisher's bibliographic system (viewed on 28 May 2021) Introduction to constraint satisfaction problems -- Model theory -- Primitive positive interpretations -- Countably categorical structures -- Examples -- Universal algebra -- Equality constraint satisfaction problems -- Datalog -- Topology -- Oligomorphic clones -- Ramsey theory -- Temporal constraint satisfaction problems -- Non-dichotomies -- Conclusion and outlook Constraint Satisfaction Problems (CSPs) are natural computational problems that appear in many areas of theoretical computer science. Exploring which CSPs are solvable in polynomial time and which are NP-hard reveals a surprising link with central questions in universal algebra. This monograph presents a self-contained introduction to the universal-algebraic approach to complexity classification, treating both finite and infinite-domain CSPs. It includes the required background from logic and combinatorics, particularly model theory and Ramsey theory, and explains the recently discovered link between Ramsey theory and topological dynamics and its implications for CSPs. The book will be of interest to graduate students and researchers in theoretical computer science and to mathematicians in logic, combinatorics, and dynamics who wish to learn about the applications of their work in complexity theory Constraint programming (Computer science) Computational complexity Linear programming Constraints (Artificial intelligence) / Mathematics Constraint-Erfüllung (DE-588)4580374-2 gnd rswk-swf Constraint-Erfüllung (DE-588)4580374-2 s DE-604 Erscheint auch als Druck-Ausgabe, Hardcover 978-1-107-04284-1 Lecture notes in logic 52 (DE-604)BV041460285 52 https://doi.org/10.1017/9781107337534 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Bodirsky, Manuel 1976- Complexity of infinite-domain constraint satisfaction Lecture notes in logic Constraint programming (Computer science) Computational complexity Linear programming Constraints (Artificial intelligence) / Mathematics Constraint-Erfüllung (DE-588)4580374-2 gnd |
| subject_GND | (DE-588)4580374-2 |
| title | Complexity of infinite-domain constraint satisfaction |
| title_auth | Complexity of infinite-domain constraint satisfaction |
| title_exact_search | Complexity of infinite-domain constraint satisfaction |
| title_exact_search_txtP | Complexity of infinite-domain constraint satisfaction |
| title_full | Complexity of infinite-domain constraint satisfaction Manuel Bodirsky |
| title_fullStr | Complexity of infinite-domain constraint satisfaction Manuel Bodirsky |
| title_full_unstemmed | Complexity of infinite-domain constraint satisfaction Manuel Bodirsky |
| title_short | Complexity of infinite-domain constraint satisfaction |
| title_sort | complexity of infinite domain constraint satisfaction |
| topic | Constraint programming (Computer science) Computational complexity Linear programming Constraints (Artificial intelligence) / Mathematics Constraint-Erfüllung (DE-588)4580374-2 gnd |
| topic_facet | Constraint programming (Computer science) Computational complexity Linear programming Constraints (Artificial intelligence) / Mathematics Constraint-Erfüllung |
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