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  1. NIIテクニカル・レポート

NII Technical Report (NII-2007-010E):Types for Hereditary Permutators

https://doi.org/10.20736/0000001239
https://doi.org/10.20736/0000001239
c2ff78a5-8044-419c-b3a8-6911fb758287
名前 / ファイル ライセンス アクション
07-010E.pdf NII Technical Report (NII-2007-010E):Types for Hereditary Permutators (258.9 kB)
Item type レポート / Report(1)
公開日 2019-03-12
タイトル
言語 en
タイトル NII Technical Report (NII-2007-010E):Types for Hereditary Permutators
言語
言語 eng
キーワード
言語 ja
主題Scheme Other
主題 テクニカルレポート
キーワード
言語 en
主題Scheme Other
主題 Technical Report
資源タイプ
資源 http://purl.org/coar/resource_type/c_6501
タイプ departmental bulletin paper
ID登録
ID登録 10.20736/0000001239
ID登録タイプ JaLC
著者 龍田, 真

× 龍田, 真

ja 龍田, 真

en Tatsuta, Makoto

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抄録
内容記述タイプ Abstract
内容記述 This paper answers the open problem of finding a type system that characterizes hereditary permutators, which is the problem 20 in the TLCA list of open problems. First this paper shows that there does not exist such a type system by showing that the set of hereditary permutatos is not recursively enumerable. The set of positive primitive recursive functions is used to prove it. Secondly this paper gives a best-possible solution by providing a set of types such that a term has every type in the set if and only if the term is a hereditary permutator. Intersection types and the Omega type is used to handle infinite computation in lambda terms.
言語 en
書誌情報 ja : NIIテクニカル・レポート
en : NII Technical Report

p. 1-11, 発行日 2007-11-27
出版者
言語 ja
出版者 国立情報学研究所
ISSN
収録物識別子タイプ ISSN
収録物識別子 1346-5597
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