履歴
2023年11月7日：投稿
2025年9月13日：オンライン
タイトル
Solovay reducibility via Lipschitz functions and signed-digit representation
Masahiro Kumabe, Kenshi Miyabe, and Toshio Suzuki
種類
研究論文
出版情報
Kumabe M, Miyabe K, Suzuki T.
Solovay reducibility via Lipschitz functions and signed-digit representation.
Computability. 2025;14(1):38-62.
doi:10.3233/COM-230486
https://journals.sagepub.com/doi/10.3233/COM-230486
要旨
We explore Solovay reducibility in the context of computably approximable reals, extending its natural characterization for left-c.e. reals via computable Lipschitz functions. Our paper offers two distinct characterizations: the first employs Lipschitz functions, while the second utilizes Turing reductions with bounded use with respect to signed-digit representation. Additionally, we examine multiple related reducibilities and establish separations among them. These results contribute to a refined perspective of the relationship between Solovay reducibility and computable Lipschitz functions.