Last edited by Mazuzshura

Tuesday, August 4, 2020 | History

10 edition of **Parallel complexity theory** found in the catalog.

- 9 Want to read
- 25 Currently reading

Published
**1987**
by Pitman, Wiley in London, New York
.

Written in English

- Computational complexity,
- Parallel processing (Electronic computers)

**Edition Notes**

Statement | Ian Parberry. |

Series | Research notes in theoretical computer science, |

Classifications | |
---|---|

LC Classifications | QA267 .P37 1987 |

The Physical Object | |

Pagination | 200 p. : |

Number of Pages | 200 |

ID Numbers | |

Open Library | OL2387659M |

ISBN 10 | 0273087835, 0470209313 |

LC Control Number | 87016731 |

Communication complexity and parallel computing April April Read More. Author: Juraj Hromkovič. Univ. Kiel, Kiel, Germany. There are quite a number of good texts on Complexity Theory. For beginners, I would recommend Computational Complexity by Christos H. Papadimitriou. It provides a comprehensive view of the field including Turing machines, Computability, Intractabi.

Complexity theory deals with the power of efficient computation. While in the last century logicians and computer scientists developed a pretty good understanding of the power of finite time algorithms (where finite can be an algorithm that on on a bit input will take longer to run than the lifetime of the sun) our understanding of. Think Complexity, 2nd Edition is about complexity science, data structures and algorithms, intermediate programming in Python, and the philosophy of science. The examples and supporting code for this book are in Python. You should know core Python and you should be familiar with object-oriented features, at least using objects if not defining your own.

The book is a comprehensive and theoretically sound treatment of parallel and distributed numerical methods. It focuses on algorithms that are naturally suited for massive parallelization, and it explores the fundamental convergence, rate of convergence, communication, and synchronization issues associated with such algorithms. Topics such as space-time tradeoffs, memory hierarchies, parallel computation, and circuit complexity, are integrated throughout the text with an emphasis on finite problems and concrete computational models The released electronic version of the book, now available for free download, corrects all errors known to the author.

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Parallel Complexity Theory, formerly published by Pitman & Wiley in Parallel complexity theory, the study of resource-bounded parallel computation, is surely one of the fastest-growing areas of theoretical Computer Science (ed: this book was written in ).

Parallel complexity theory, the study of resource-bounded parallel computation, is surely one of the fastest-growing areas of theoretical Computer Science (ed: this book was written in ). In the light of this, it would be foolish to attempt an encyclopedic coverage of the field.

License Agreement This work is copyright Ian Parberry. All rights reserved. The author offers this work, retail value US$20, free of charge under the following. Pitman Publishing - Parallel Complexity Theory | Ian Parberry | download | B–OK.

Download books for free. Find books. Parallel Complexity Theory. Researchers have developed a theory of the parallel complexity of computational problems analogous to the theory of NP-completeness.

A problem is said to belong to the class NC (Nick's Class) if it can be solved in time polylogarithmic in the size of the problem using at most a polynomial number of processors.

• Graduate Complexity course. The book can serve as a text for a graduate complexity course that prepares graduate students interested in theory to do research in complexity and related areas.

Such a course can use parts of Part I to review basic material, and then move on. Books on complexity theory and complex systems – Part I Posted on September 4, by Reza Shabanali Years ago, it was a serious challenge to find a book or an article about niche topics like complexity theory and complex system.

Hence, parallel complexity theory deals only with sequential polynomial problems. Most of the machinery of the parallel complexity theory is derived from the sequential one, which uses specific formal framework to make its results and conclusions independent on particular implementation details of algorithms and robust with respect to various models and architectures of computing devices.

This book covers classical models of computation and central results in computability and complexity theory. However, it diﬀers from traditional texts in two respects: 1.

It is signiﬁcantly more accessible, without sacriﬁcing precision. This is achieved by presenting the theory of computability and complexity using programming tech-File Size: 1MB. many) sizes. Nonuniform computation crops up often in complexity theory, and also in the rest of this book.

Second, in principle one can separate complexity classes such as P and NP by proving lower-bounds on circuit size. This chapter outlines why such lowerbounds ought to exist. In the s. This paper outlines a theory of parallel algorithms that emphasizes two crucial aspects of parallel computation: speedup the improvement in running time due to parallelism, and efficiency, the ratio of work done by a parallel algorithm to the work done by a sequential define six classes of algorithms in these terms; of particular interest is the class, EP, of algorithms that Cited by: The idea is to do simultaneous merges of pairs of subsets of items into increasingly larger ordered subsets.

The ﬁrst stage usesp(n)=2 processors to mergep(n)=2 pairs of subsets, each of sizen=p(n). The next stage usesp(n)=4 processors to merge thesep(n)=4 pairs of subsets of size 2n=p(n), and so on.

"Complexity theory is an extremely important and vivid field on the border of mathematics and computer science. Ingo Wegener certainly created an appealing, well-written book that is a definite choice for the specialists and lecturers when an undergraduate or graduate student asks for guidance into this challenging new field of mathematics."Brand: Springer-Verlag Berlin Heidelberg.

Complexity theories and Systems Thinking: parallels and differences Published on October 9, October 9, • Likes • Comments. Parallel complexity theory. London: Pitman ; New York: Wiley, (OCoLC) Document Type: Book: All Authors / Contributors: Ian Parberry.

Find more information about: ISBN: # Parallel processing (Electronic computers). The established methodologies for studying computational complexity can be applied to the new problems posed by very large-scale integrated (VLSI) circuits.

This thesis develops a "VLSI model of computation" and derives upper and lower bounds on the silicon area and time required to solve the problems of sorting and discrete Fourier transformation. In complexity theory, the class NC (for "Nick's Class") is the set of decision problems decidable in polylogarithmic time on a parallel computer with a polynomial number of processors.

In other words, a problem is in NC if there exist constants c and k such that it can be solved in time O(log c n) using O(n k) parallel processors. Stephen Cook coined the name "Nick's class" after Nick. A Complexity Theory for Parallel Computation Parallel Time and Sequential Space 12 / The Parallel Computation Thesis We have found a quadratic relationship between the depth of circuits and the space complexity of Turing machines.

The depth of. To prepare the framework for parallel complexity theory, we will introduce a fundamental model, the PRAM model.

Then we will introduce the basics of parallel complexity theory to provide a formal framework for explaining why some problems are easier to parallelize then some others.

More specifically, we will study NC-algorithms and P-completeness. This first part presents chapters on models of computation, complexity theory, data structures, and efficient computation in many recognized sub-disciplines of Theoretical Computer Science.

Preview this book». The book covers the traditional topics of formal languages and automata and complexity classesbut alsogivesan introductionto themoremoderntopics ofspace-time tradeoffs, mem- ory hierarchies, parallel computation, the VLSI model, and circuit Size: 4MB.Complexity Theory: A Modern Approach Sanjeev Arora and Boaz Barak 3.

Computability and Complexity Theory (Texts in Computer Science) (Hardcover) by Steven Homer (Author), Alan L. Selman (Author) Publisher: Springer; 1 edition. (TCS) PARALLEL ALGORITHMS Unit-I: Sequential model, need of alternative model, parallel computational models such asFile Size: KB.This chapter describes different aspects of parallel sorting.

The problem of sorting a sequence of items is widely considered as one of the most important in the field of computing science. In designing and analyzing solution methods or algorithms for the sorting problem, a field of study known as computational complexity theory is referred to.