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Paper Abstract and Keywords
Presentation 2012-06-21 13:20
A Satisfiability Algorithm and Average-Case Hardness for Formulas over the Full Binary Basis
Kazuhisa Seto, Suguru Tamaki (Kyoto Univ.) COMP2012-17
Abstract (in Japanese) (See Japanese page) 
(in English) We present a moderately exponential time algorithm for the satisfiability of Boolean formulas over the full binary basis.
For formulas of size at most $cn$, our algorithm runs in time $2^{(1-\mu_c)n}$ for some constant $\mu_c>0$.
As a byproduct of the running time analysis of our algorithm,
we get strong average-case hardness of affine extractors for linear-sized formulas over the full binary basis.
Keyword (in Japanese) (See Japanese page) 
(in English) satisfiability / exact algorithm / formula / parity gate / average-case hardness / / /  
Reference Info. IEICE Tech. Rep., vol. 112, no. 93, COMP2012-17, pp. 41-48, June 2012.
Paper # COMP2012-17 
Date of Issue 2012-06-14 (COMP) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
and
reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF COMP2012-17

Conference Information
Committee COMP  
Conference Date 2012-06-21 - 2012-06-21 
Place (in Japanese) (See Japanese page) 
Place (in English) Hokkaido University 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2012-06-COMP 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Satisfiability Algorithm and Average-Case Hardness for Formulas over the Full Binary Basis 
Sub Title (in English)  
Keyword(1) satisfiability  
Keyword(2) exact algorithm  
Keyword(3) formula  
Keyword(4) parity gate  
Keyword(5) average-case hardness  
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1st Author's Name Kazuhisa Seto  
1st Author's Affiliation Kyoto University (Kyoto Univ.)
2nd Author's Name Suguru Tamaki  
2nd Author's Affiliation Kyoto University (Kyoto Univ.)
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Speaker Author-1 
Date Time 2012-06-21 13:20:00 
Presentation Time 25 minutes 
Registration for COMP 
Paper # COMP2012-17 
Volume (vol) vol.112 
Number (no) no.93 
Page pp.41-48 
#Pages 8 
Date of Issue 2012-06-14 (COMP) 

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