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Titlebook: Randomness and Completeness in Computational Complexity; Dieter Melkebeek Book 2000 Springer-Verlag Berlin Heidelberg 2000 Algorithms.Comp

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书目名称Randomness and Completeness in Computational Complexity
编辑Dieter Melkebeek
视频video
概述Includes supplementary material:
丛书名称Lecture Notes in Computer Science
图书封面Titlebook: Randomness and Completeness in Computational Complexity;  Dieter Melkebeek Book 2000 Springer-Verlag Berlin Heidelberg 2000 Algorithms.Comp
描述This book contains a revised version of the dissertation the author wrote at the Department of Computer Science of the University of Chicago. The thesis was submitted to the Faculty of Physical Sciences in conformity with the requirements for the PhD degree in June 1999. It was honored with the 1999 ACM Doctoral Dissertation Award in May 2000. Summary Computational complexity is the study of the inherent di culty of compu- tional problems and the power of the tools we may use to solve them. It aims to describe how many resources we need to compute the solution as a function of the problem size. Typical resources include time on sequential and parallel architectures and memory space. As we want to abstract away from details of input representation and speci cs of the computer model, we end up with classes of problems that we can solve within certain robust resource bounds such as polynomial time, parallel logarithmic time, and logarithmic space. Research in complexity theory boils down to determining the relationships between these classes { inclusions and separations. In this dissertation, we focus on the role of randomness and look at various properties of hard problems in order t
出版日期Book 2000
关键词Algorithms; Complete Languages; Completeness; Complexity Theory; Computational Complexity; Formal Languag
版次1
doihttps://doi.org/10.1007/3-540-44545-5
isbn_softcover978-3-540-41492-6
isbn_ebook978-3-540-44545-6Series ISSN 0302-9743 Series E-ISSN 1611-3349
issn_series 0302-9743
copyrightSpringer-Verlag Berlin Heidelberg 2000
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978-3-540-41492-6Springer-Verlag Berlin Heidelberg 2000
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1. Introduction,How can we solve a problem using computers in a reasonable amount of time? Computational complexity studies the inherent difficulty of problems and the power of the tools we may engage to solve them.
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5. Autoreducibility of Complete Languages,This chapter looks at another property of complete languages that allows us to separate complexity classes, namely their redundancy. We will investigate a very general notion of redundancy, known as autoreducibility.
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7. The Frequency of Complete Languages,In this chapter, we look at the frequency of complete languages as a tool to separate complexity classes.
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Dieter MelkebeekIncludes supplementary material:
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