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Paper Abstract and Keywords
Presentation 2006-03-23 09:00
Increasing the Success Probability of PPSZ-type Satisfiability Testing
Kazuo Iwama, Suguru Tamaki (Kyoto Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) Recently, [Iwama, Tamaki, SODA04] gave a new worst-case upper bound
for 3SAT by modifying the PPSZ-type algorithm in
[Paturi et. al., FOCS98] by making use of the local-search-type
one in [Schoning, Algorithmica 02].
We propose a different kind of modification in this paper.
Recall that the analysis of the first algorithm (denoted by \textbf{PPSZ})
assumes that each bit of the
initial assignment coincides that of a satisfying assignment with
probability one half.
Our idea is that if we can increase this probability, i.e., if we can
use a ``better'' initial assignment, then the success probability of
\textbf{PPSZ} should increase.
To get this better assignment we use the second algorithm (denoted by
\textbf{SCH}).
Note that the local search starts with a random assignment and
gradually approaches to a satisfying assignment $z$.
In the middle of this process, there should be the moment that
the current assignment $a^*$ is close to $z$ and to use
\textbf{PPSZ} with this assignment $a^*$ has a better success
probability than to continue \textbf{SCH}.
In this paper we prove that this conjecture is true under some
assumption on the uniformity of probability.
Keyword (in Japanese) (See Japanese page) 
(in English) CNF Satisfiability / Probabilistic Algorithm / Complexity / / / / /  
Reference Info. IEICE Tech. Rep., vol. 105, no. 680, COMP2005-63, pp. 1-6, March 2006.
Paper # COMP2005-63 
Date of Issue 2006-03-16 (COMP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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Conference Information
Committee COMP  
Conference Date 2006-03-22 - 2006-03-23 
Place (in Japanese) (See Japanese page) 
Place (in English) The University of Electro-Communications 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2006-03-COMP 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Increasing the Success Probability of PPSZ-type Satisfiability Testing 
Sub Title (in English)  
Keyword(1) CNF Satisfiability  
Keyword(2) Probabilistic Algorithm  
Keyword(3) Complexity  
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1st Author's Name Kazuo Iwama  
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
Date Time 2006-03-23 09:00:00 
Presentation Time 35 
Registration for COMP 
Paper # IEICE-COMP2005-63 
Volume (vol) IEICE-105 
Number (no) no.680 
Page pp.1-6 
#Pages IEICE-6 
Date of Issue IEICE-COMP-2006-03-16 


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