2011 Fiscal Year Final Research Report
Establishing Computer Assisted Proof Methods for Computational Intractability
| Project/Area Number |
21500005
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Fundamental theory of informatics
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| Research Institution | Gunma University |
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Principal Investigator |
AMANO Kazuyuki 群馬大学, 大学院・工学研究科, 准教授 (30282031)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 計算困難性 / 計算機援用証明 / 下界 / 論理回路 / 論理関数 |
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| Research Abstract |
The aim of this research is to establish the methods for analyzing the computational complexity in various computational models. Especially, this research pursues the use of computers as a central tool for the analysis. As a result, we obtain many significant results, of which we list some.(i) We determine the exact complexity for detecting clique structure of a graph by constant depth Boolean circuits,(ii) We develop a new method for analyzing the description length of Boolean functions in polynomial threshold representation based on computer analysis, and (iii) We determine the exact value of the maximum sensitivity of CNF formulas with bounded clause length.
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