News
12 Mar, 2024: The slide was uploaded
Title
Strong Solovay reducibility
Type
Talk on CCR2024
Download
ccr
宮部賢志(ミヤベケンシ)
News
12 Dec, 2023: The slide was uploaded
Title
Strong Solovay reducibility
Type
Talk on Proof theory workshop@RIMS
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rims
News
7 Nov 2023, submitted to a journal
Title
Solovay reducibility via Lipschitz functions and signed-digit representation
Masahiro Kumabe, Kenshi Miyabe, and Toshio Suzuki
Type
Submitted to a journal
Publication
TBA
Abstract
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.
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preprint
News
6 Nov, 2023: The slide was uploaded
Title
Computable prediction
Type
Talk on Mini-Workshop on Computability in Tokyo in English
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mini-workshop
News
27 Sep, 2023: The slide was uploaded
Title
Computability of reals
Type
Lectures on Summer School on mathematical foundations in Japanese
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You can download the slide files on the website.