| Presentation | 2010-07-02 On the Relationship between Recognizing Languages and Computing Functions Shingo HASEGAWA, Shuji ISOBE, Hiroki SHIZUYA, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We explore the relationship between the class NP and the function class NPMV_g, the set of witness functions for languages in NP. The relationship between NP and NPMVg is studied in the context of the self-computability of sets. In this paper, we consider slightly relaxed valiant of the self-computability and show the following two results for functions in NPMV_g with coNP domains: 1) for any function f in FewPF_g, f reduces an NP∩coNP language; and 2) any function f in NPMV_g reduces an NP∩coNP language only when NP = coNP. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | multivalued function / NP / NPMV_g / self-computability |
| Paper # | ISEC2010-37,SITE2010-33,ICSS2010-43 |
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| Conference Information | |
| Committee | ICSS |
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| Conference Date | 2010/6/24(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Information and Communication System Security (ICSS) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On the Relationship between Recognizing Languages and Computing Functions |
| Sub Title (in English) | |
| Keyword(1) | multivalued function |
| Keyword(2) | NP |
| Keyword(3) | NPMV_g |
| Keyword(4) | self-computability |
| 1st Author's Name | Shingo HASEGAWA |
| 1st Author's Affiliation | Graduate School of Information Sciences, Tohoku University() |
| 2nd Author's Name | Shuji ISOBE |
| 2nd Author's Affiliation | Graduate School of Information Sciences, Tohoku University |
| 3rd Author's Name | Hiroki SHIZUYA |
| 3rd Author's Affiliation | Graduate School of Information Sciences, Tohoku University |
| Date | 2010-07-02 |
| Paper # | ISEC2010-37,SITE2010-33,ICSS2010-43 |
| Volume (vol) | vol.110 |
| Number (no) | 115 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |