Iris van Rooij, Mark Blokpoel, Johan Kwisthout, Todd WarehamCambridge University Press, 4/30/2019EAN 9781108728973, ISBN10: 1108728979Paperback, 374 pages, 22.8 x 15.1 x 2 cmLanguage: EnglishIntractability 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.Part I. Introduction1. IntroductionPart II. Concepts and Techniques2. Polynomial versus exponential time3. Polynomial-time reductions4. Classical complexity classes5. Fixed-parameter tractable time6. Parameterized reductions7. Parameterized complexity classesPart III. Reflections and Elaborations8. Dealing with intractability9. Replies to common objectionsPart IV. Applications10. Coherence as constraint satisfaction11. Analogy as structure mapping12. Communication as Bayesian inference.
