| タイトル |
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The strength of SCT soundness
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| 作成者 |
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| 権利情報 |
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(c) The Author, 2018. Published by Oxford University Press. This is a pre-copy-editing, author-produced PDF of an article accepted for publication in JOURNAL OF LOGIC AND COMPUTATION following peer review. The definitive publisher-authenticated version JOURNAL OF LOGIC AND COMPUTATION (2018) 28(6): 1217-1242 is available online at: http://dx.doi.org/10.1093/logcom/exy003
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| 主題 |
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Other
Ramsey's theorem for pairs
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Other
Size-change termination
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Other
Reverse Mathematics
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Other
Soundness
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Other
Well-ordering principles
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| 内容注記 |
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Other
In this paper we continue the study, from Frittaion, Steila and Yokoyama (2017), on size-change termination in the context of Reverse Mathematics. We analyse the soundness of the SCT method. In particular, we prove that the statement ‘any programme which satisfies the combinatorial condition provided by the SCT criterion is terminating’ is equivalent to WO(ω_3) over RCA_0.
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Other
identifier:https://dspace.jaist.ac.jp/dspace/handle/10119/16083
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| 出版者 |
Oxford University Press
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| 日付 |
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| 言語 |
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| 資源タイプ |
journal article |
| 出版タイプ |
AM |
| 資源識別子 |
URI
http://hdl.handle.net/10119/16083
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| 関連 |
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isIdenticalTo
DOI
https://doi.org/10.1093/logcom/exy003
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| 収録誌情報 |
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Journal of Logic and Computation
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巻28
号6
開始ページ1217
終了ページ1242
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| ファイル |
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| コンテンツ更新日時 |
2021-04-14 |