| Presentation | 2012-01-26 On Usable Rules under Argument Filterings in Higher-Order Rewrite Systems Kazuhiro OOI, Keiichirou KUSAKARI, Masahiko SAKAI, Toshiki SAKABE, Naoki NISHIDA, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The static dependency pair method is known as a powerful method for proving termination of higher-order rewrite systems (HRSs). The method proves the termination by showing the non-loopingness of all the static recursion components respectively that are obtained by some static recursion analysis. The notion of usable rules has been proposed to reduce the number of rewrite rules considered in showing the non-loogingness. However, we sometimes fail to reduce rewrite rules by reason of some dependency analysis through higher-order variables. In first-order term rewriting, the notion of usable rules under argument filterings has also been proposed, which can reduce more rewrite rules in general. In this paper, we extend the notion to HRSs. By filtering subterms rooted by a higher-order variable, we can avoid analyzing dependencies through higher-order variables. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | higher-order rewrite system / termination / static dependency pair method / argument filtering / usable rule |
| Paper # | MSS2011-64,SS2011-49 |
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| Conference Information | |
| Committee | MSS |
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| Conference Date | 2012/1/19(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Mathematical Systems Science and its applications(MSS) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On Usable Rules under Argument Filterings in Higher-Order Rewrite Systems |
| Sub Title (in English) | |
| Keyword(1) | higher-order rewrite system |
| Keyword(2) | termination |
| Keyword(3) | static dependency pair method |
| Keyword(4) | argument filtering |
| Keyword(5) | usable rule |
| 1st Author's Name | Kazuhiro OOI |
| 1st Author's Affiliation | Nagoya University, Graduate School of Information Science() |
| 2nd Author's Name | Keiichirou KUSAKARI |
| 2nd Author's Affiliation | Nagoya University, Graduate School of Information Science |
| 3rd Author's Name | Masahiko SAKAI |
| 3rd Author's Affiliation | Nagoya University, Graduate School of Information Science |
| 4th Author's Name | Toshiki SAKABE |
| 4th Author's Affiliation | Nagoya University, Graduate School of Information Science |
| 5th Author's Name | Naoki NISHIDA |
| 5th Author's Affiliation | Nagoya University, Graduate School of Information Science |
| Date | 2012-01-26 |
| Paper # | MSS2011-64,SS2011-49 |
| Volume (vol) | vol.111 |
| Number (no) | 405 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |