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ORCIDTakayuki Kihara
Person information
- affiliation: Nagoya University, Japan
- affiliation: Tohoku University, Japan
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Journal Articles
- 2023
[j19]Takayuki Kihara
, Kenta Sasaki:
A syntactic approach to Borel functions: some extensions of Louveau's theorem. Arch. Math. Log. 62(7-8): 1041-1082 (2023)- [j18]Nikolay Bazhenov, Takayuki Kihara, Svetlana Selivanova:
Preface. Comput. 12(4): 299 (2023) - [j17]Nikolay Bazhenov, Takayuki Kihara, Svetlana Selivanova, Dieter Spreen:
On the main scientific achievements of Victor Selivanov. Comput. 12(4): 301-314 (2023) - 2021
- [j16]Vassilios Gregoriades, Takayuki Kihara, Keng Meng Ng:
Turing degrees in Polish spaces and decomposability of Borel functions. J. Math. Log. 21(1): 2050021:1-2050021:41 (2021) - [j15]Paul-Elliot Anglès d'Auriac, Takayuki Kihara:
A Comparison of various analytic Choice Principles. J. Symb. Log. 86(4): 1452-1485 (2021) - 2020
- [j14]Longyun Ding, Takayuki Kihara, Brian Semmes, Jiafei Zhao:
Decomposing Functions of Baire class $2$ on Polish Spaces. J. Symb. Log. 85(3): 960-971 (2020) - [j13]Takayuki Kihara, Alberto Marcone, Arno Pauly:
Searching for an analogue of Atr0 in the Weihrauch Lattice. J. Symb. Log. 85(3): 1006-1043 (2020) - 2019
- [j12]Josef Berger, Hajime Ishihara, Takayuki Kihara, Takako Nemoto:
The binary expansion and the intermediate value theorem in constructive reverse mathematics. Arch. Math. Log. 58(1-2): 203-217 (2019) - [j11]Takayuki Kihara:
On a Metric Generalization of the TT-Degrees and Effective Dimension Theory. J. Symb. Log. 84(2): 726-749 (2019) - 2016
- [j10]Takayuki Kihara:
Borel-piecewise continuous reducibility for uniformization problems. Log. Methods Comput. Sci. 12(4) (2016) - 2015
- [j9]Takayuki Kihara, Kenshi Miyabe:
Unified characterizations of lowness properties via Kolmogorov complexity. Arch. Math. Log. 54(3-4): 329-358 (2015) - [j8]Takayuki Kihara:
Comparing the Medvedev and Turing degrees of Π0 1 classes. Math. Struct. Comput. Sci. 25(8): 1649-1668 (2015) - 2014
- [j7]Kojiro Higuchi, Takayuki Kihara:
Inside the Muchnik degrees I: Discontinuity, learnability and constructivism. Ann. Pure Appl. Log. 165(5): 1058-1114 (2014) - [j6]Kojiro Higuchi, Takayuki Kihara:
Inside the Muchnik degrees II: The degree structures induced by the arithmetical hierarchy of countably continuous functions. Ann. Pure Appl. Log. 165(6): 1201-1241 (2014) - [j5]Kojiro Higuchi, Takayuki Kihara:
On effectively closed sets of effective strong measure zero. Ann. Pure Appl. Log. 165(9): 1445-1469 (2014) - [j4]Takayuki Kihara, Kenshi Miyabe:
Uniform Kurtz randomness. J. Log. Comput. 24(4): 863-882 (2014) - [j3]Makoto Fujiwara, Kojiro Higuchi, Takayuki Kihara:
On the strength of marriage theorems and uniformity. Math. Log. Q. 60(3): 136-153 (2014) - 2012
- [j2]Takayuki Kihara:
Incomputability of Simply Connected Planar Continua. Comput. 1(2): 131-152 (2012) - 2010
- [j1]Joshua A. Cole, Takayuki Kihara:
The FOR ALL THERE EXISTS-theory of the effectively closed Medvedev degrees is decidable. Arch. Math. Log. 49(1): 1-16 (2010)
Conference and Workshop Papers
- 2023
- [c7]Takayuki Kihara, Arno Pauly:
De Groot Duality for Represented Spaces. CiE 2023: 89-101 - 2022
- [c6]Matthew de Brecht, Takayuki Kihara, Victor L. Selivanov:
Enumerating Classes of Effective Quasi-Polish Spaces. CiE 2022: 88-102 - 2020
- [c5]Mathieu Hoyrup, Takayuki Kihara, Victor L. Selivanov:
Degrees of Non-computability of Homeomorphism Types of Polish Spaces. CiE 2020: 189-192 - 2019
- [c4]Takayuki Kihara, Arno Pauly:
Finite Choice, Convex Choice and Sorting. TAMC 2019: 378-393 - 2016
- [c3]Takayuki Kihara, Arno Pauly:
Dividing by Zero - How Bad Is It, Really?. MFCS 2016: 58:1-58:14 - 2012
- [c2]Kojiro Higuchi, Takayuki Kihara:
Effective Strong Nullness and Effectively Closed Sets. CiE 2012: 303-312 - [c1]Takayuki Kihara:
A Hierarchy of Immunity and Density for Sets of Reals. CiE 2012: 384-394
Informal and Other Publications
- 2024
- [i17]Takayuki Kihara:
Many-one reducibility with realizability. CoRR abs/2403.16027 (2024) - 2023
- [i16]Matthew de Brecht, Takayuki Kihara, Victor L. Selivanov:
Ideal presentations and numberings of some classes of effective quasi-Polish spaces. CoRR abs/2301.08469 (2023) - [i15]Mitsumasa Ikeda, Yoriyuki Yamagata, Takayuki Kihara:
On the Metric Temporal Logic for Continuous Stochastic Processes. CoRR abs/2308.00984 (2023) - 2022
- [i14]Takayuki Kihara:
Rethinking the notion of oracle: A link between synthetic descriptive set theory and effective topos theory. CoRR abs/2202.00188 (2022) - 2021
- [i13]Takayuki Kihara:
Lawvere-Tierney topologies for computability theorists. CoRR abs/2106.03061 (2021) - 2020
- [i12]Takayuki Kihara:
Degrees of incomputability, realizability and constructive reverse mathematics. CoRR abs/2002.10712 (2020) - 2019
- [i11]Takayuki Kihara, Keng Meng Ng, Arno Pauly:
Enumeration degrees and non-metrizable topology. CoRR abs/1904.04107 (2019) - [i10]Takayuki Kihara, Arno Pauly:
Convex choice, finite choice and sorting. CoRR abs/1905.03190 (2019) - [i9]Paul-Elliot Anglès d'Auriac, Takayuki Kihara:
A comparison of various analytic choice principles. CoRR abs/1907.02769 (2019) - [i8]Takayuki Kihara, Victor L. Selivanov:
Wadge-like degrees of Borel bqo-valued functions. CoRR abs/1909.10835 (2019) - 2018
- [i7]Takayuki Kihara:
On a metric generalization of the tt-degrees and effective dimension theory. CoRR abs/1803.03753 (2018) - [i6]Takayuki Kihara, Alberto Marcone, Arno Pauly:
Searching for an analogue of ATR in the Weihrauch lattice. CoRR abs/1812.01549 (2018) - 2016
- [i5]Takayuki Kihara, Arno Pauly:
Dividing by zero - how bad is it, really? CoRR abs/1606.04126 (2016) - 2014
- [i4]Takayuki Kihara, Arno Pauly:
Point degree spectra of represented spaces. CoRR abs/1405.6866 (2014) - 2013
- [i3]Kojiro Higuchi, Takayuki Kihara:
Inside the Muchnik Degrees II: The Degree Structures induced by the Arithmetical Hierarchy of Countably Continuous Functions. CoRR abs/1309.1937 (2013) - 2012
- [i2]Kojiro Higuchi, Takayuki Kihara:
Inside the Muchnik Degrees: Discontinuity, Learnability, and Constructivism. CoRR abs/1210.0697 (2012) - 2011
- [i1]Takayuki Kihara:
Incomputability of Simply Connected Planar Continua. CoRR abs/1110.6140 (2011)
Coauthor Index
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