Matches in Harvard for { <http://id.lib.harvard.edu/aleph/008656068/catalog> ?p ?o. }
Showing items 1 to 27 of
27
with 100 items per page.
- catalog abstract "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 to obtain separations. We also investigate the power of nondeterminism and alternation, as well as space versus time issues. Randomness provides a resource that seems to help in various situations.".
- catalog contributor b12125063.
- catalog created "c2000.".
- catalog date "2000".
- catalog date "c2000.".
- catalog dateCopyrighted "c2000.".
- catalog description "Includes bibliographical references (p. [183]-189) and indexes.".
- catalog description "Preliminaties -- Derandomizing Arthur-Merlin games -- Sparseness of complete languages -- Autoreducibility of complete languages -- Size of randomized polynomial time -- Frequency of complete languages -- Frequency of antoreducible languages".
- catalog description "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 to obtain separations. We also investigate the power of nondeterminism and alternation, as well as space versus time issues. Randomness provides a resource that seems to help in various situations.".
- catalog extent "xv, 196 p. :".
- catalog identifier "3540414924".
- catalog isPartOf "Lecture notes in computer science, 0302-9743 ; 1950".
- catalog issued "2000".
- catalog issued "c2000.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "004/.01/51 21".
- catalog subject "Computational complexity.".
- catalog subject "Computer science Mathematics.".
- catalog subject "Computer science.".
- catalog subject "Computer software.".
- catalog subject "Information theory.".
- catalog subject "Logic design.".
- catalog subject "QA76.9.M35 M54 2000".
- catalog tableOfContents "Preliminaties -- Derandomizing Arthur-Merlin games -- Sparseness of complete languages -- Autoreducibility of complete languages -- Size of randomized polynomial time -- Frequency of complete languages -- Frequency of antoreducible languages".
- catalog title "Randomness and completeness in computational complexity / Dieter van Melkebeek.".
- catalog type "text".