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Computational Limitations for Small Depth Circuits (ACM Doctoral Dissertation Award) ebook

by Johan Torkel Håstad


One is the model of small depth circuits, and in this book Johan Torkel Håstad has developed very powerful techniques .

The titles in this series are winners of the annual ACM doctoral dissertation award. Computational Limitations for Small Depth Circuits. Johan Torkel Håstad 1987. This series is no longer active, and the MIT Press is no longer accepting proposals for books in the series. Books in this Series. Full Abstraction and Semantic Equivalence.

About ACM Doctoral Dissertation Award. Presented annually to the author(s) of the best doctoral dissertation(s) in computer science and engineering. Winning dissertations will be published in the ACM Digital Library as part of the ACM Books Series. Recent Doctoral Dissertation Award News. 2018 ACM Doctoral Dissertation Award

oceedings{Kurtz1988HstadJC, title {H{aa}stad Johan. Computational limitations of small-depth circuits.

oceedings{Kurtz1988HstadJC, title {H{aa}stad Johan. ACM doctoral dissertation awards. The MIT Press, Cambridge, Mass. and London, 1987, xiii + 84 p., author {Stuart A. Kurtz}, year {1988} }.

Recommend this journal.

The ACM Doctoral Dissertation Award is awarded annually by the Association for Computing Machinery to the authors of the best doctoral dissertations in computer science and computer engineering

The ACM Doctoral Dissertation Award is awarded annually by the Association for Computing Machinery to the authors of the best doctoral dissertations in computer science and computer engineering. Financial support is provided by Google. The number of awarded dissertations may vary year-to-year.

ACM doctoral dissertation awards. Similar books and articles. Stuart A. Kurtz & Johan Hastad - 1988 - Journal of Symbolic Logic 53 (4):1259. and London, 1987, xiii + 84 pp. Kurtz. Twentieth Century The Uranium People. By Leona Marshall Libby.

T. Håstad,Computational Limitations for Small-Depth Circuits. ACM Doctoral Dissertation Award. notes of the Academy of Science of the USSR 41 (4) (1987), 333–338. MIT Press, Cambridge, MA, 1986. D. Johnson, A catalog of complexity classes. M. Sipser, The history and status of the P versus NP question. Twenty-fourth Ann. ACM Symp. R. Smolensky, Algebraic methods in the theory of lower bounds for Boolean circuit complexity. Nineteenth Ann.

Computational Limitations for Small Depth Circuits.

Flag as Inappropriate. Johan Håstad's ACM doctoral dissertation award. List of Fellows of the American Mathematical Society, retrieved 2013-01-19. Johan Torkel Håstad (Swedish pronunciation: ; born 19 November 1960) is a Swedish theoretical computer scientist most known for his work on computational complexity theory. He was the recipient of the Gödel Prize in 1994 and 2011 and the ACM Doctoral Dissertation Award in 1986, among other prizes. He is a professor in theoretical computer science at the Royal Institute of Technology in Stockholm, Sweden since 1992.

Proving lower bounds on the amount of resources needed to compute specific functions is one of the most active branches of theoretical computer science. Significant progress has been made recently in proving lower bounds in two restricted models of Boolean circuits. One is the model of small depth circuits, and in this book Johan Torkel Håstad has developed very powerful techniques for proving exponential lower bounds on the size of small depth circuits' computing functions. The techniques described in Computational Limitations for Small Depth Circuits can be used to demonstrate almost optimal lower bounds on the size of small depth circuits computing several different functions, such as parity and majority. The main tool used in the proof of the lower bounds is a lemma, stating that any AND of small fanout OR gates can be converted into an OR of small fanout AND gates with high probability when random values are substituted for the variables. Håstad also applies this tool to relativized complexity, and discusses in great detail the computation of parity and majority in small depth circuits. Contents: Introduction. Small Depth Circuits. Outline of Lower Bound Proofs. Main Lemma. Lower Bounds for Small Depth Circuits. Functions Requiring Depth k to Have Small Circuits. Applications to Relativized Complexity. How Well Can We Compute Parity in Small Depth? Is Majority Harder than Parity? Conclusions. John Håstad is a postdoctoral fellow in the Department of Mathematics at MIT Computational Limitations of Small Depth Circuits is a winner of the 1986 ACM Doctoral Dissertation Award.
Computational Limitations for Small Depth Circuits (ACM Doctoral Dissertation Award) ebook
Author:
Johan Torkel Håstad
Category:
Engineering
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EPUB size:
1747 kb
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1657 kb
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Publisher:
The MIT Press (February 20, 1987)
Pages:
75 pages
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