Cognition and Intractability

A Guide to Classical and Parameterized Complexity Analysis
Erscheinungsjahr 2019
ISBN: 978-1-108-72897-3
Verlag: Cambridge University Press

Buch, Englisch, 386 Seiten, Format (B × H): 154 mm x 230 mm, Gewicht: 544 g

Intractability is a growing concern across the cognitive sciences: while many models of cognition can describe and predict human behavior in the lab, it remains unclear how these models can scale to situations of real-world complexity. Cognition and Intractability is the first book to provide an accessible introduction to computational complexity analysis and its application to questions of intractability in cognitive science. Covering both classical and parameterized complexity analysis, it introduces the mathematical concepts and proof techniques that can be used to test one's intuition of (in)tractability. It also describes how these tools can be applied to cognitive modeling to deal with intractability, and its ramifications, in a systematic way. Aimed at students and researchers in philosophy, cognitive neuroscience, psychology, artificial intelligence, and linguistics who want to build a firm understanding of intractability and its implications in their modeling work, it is an ideal resource for teaching or self-study.

Autoren/Hrsg.

Rooij, Iris van

Blokpoel, Mark

Kwisthout, Johan

Wareham, Todd

Fachgebiete

• Sozialwissenschaften Psychologie Allgemeine Psychologie Kognitionspsychologie
• Interdisziplinäres Wissenschaften Wissenschaften Interdisziplinär Neurowissenschaften, Kognitionswissenschaft
• Sozialwissenschaften Psychologie Psychologie / Allgemeines & Theorie Psychologische Theorie, Psychoanalyse Kognitivismus
• Interdisziplinäres Wissenschaften Wissenschaften Interdisziplinär Mathematik für Naturwissenschaftler

Inhaltsverzeichnis

Part I. Introduction: 1. Introduction; Part II. Concepts and Techniques: 2. Polynomial versus exponential time; 3. Polynomial-time reductions; 4. Classical complexity classes; 5. Fixed-parameter tractable time; 6. Parameterized reductions; 7. Parameterized complexity classes; Part III. Reflections and Elaborations: 8. Dealing with intractability; 9. Replies to common objections; Part IV. Applications: 10. Coherence as constraint satisfaction; 11. Analogy as structure mapping; 12. Communication as Bayesian inference.

Über Autor(innen)

Blokpoel, Mark
Mark Blokpoel is a computational cognitive scientist at the Donders Institute for Brain, Cognition and Behaviour at Radboud Universiteit Nijmegen, the Netherlands.

Rooij, Iris van
Iris van Rooij is a psychologist and cognitive scientist based at the Donders Institute for Brain, Cognition and Behaviour and the School for Psychology and Artificial Intelligence at Radboud Universiteit Nijmegen, the Netherlands.

Wareham, Todd
Todd Wareham is a computer scientist in the Department of Computer Science at Memorial University of Newfoundland, Canada.

Kwisthout, Johan
Johan Kwisthout is a computer scientist at the Donders Institute for Brain, Cognition and Behaviour and the School for Psychology and Artificial Intelligence at Radboud Universiteit Nijmegen, the Netherlands.