Toshiyasu Arai

473 total citations
42 papers, 181 citations indexed

About

Toshiyasu Arai is a scholar working on Computational Theory and Mathematics, Artificial Intelligence and Geometry and Topology. According to data from OpenAlex, Toshiyasu Arai has authored 42 papers receiving a total of 181 indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Computational Theory and Mathematics, 20 papers in Artificial Intelligence and 11 papers in Geometry and Topology. Recurrent topics in Toshiyasu Arai's work include Computability, Logic, AI Algorithms (20 papers), Logic, Reasoning, and Knowledge (14 papers) and Logic, programming, and type systems (14 papers). Toshiyasu Arai is often cited by papers focused on Computability, Logic, AI Algorithms (20 papers), Logic, Reasoning, and Knowledge (14 papers) and Logic, programming, and type systems (14 papers). Toshiyasu Arai collaborates with scholars based in Japan, United Kingdom and United States. Toshiyasu Arai's co-authors include Andreas Weiermann, Stanley S. Wainer, David Fernández–Duque, Noriko Arai, Mitsuhiro Okada, Makoto Kikuchi and Grigori Mint︠s︡ and has published in prestigious journals such as Theoretical Computer Science, Proceedings of the American Mathematical Society and Journal of Symbolic Logic.

In The Last Decade

Toshiyasu Arai

35 papers receiving 153 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Toshiyasu Arai Japan	10	136	79	51	23	21	42	181
J. W. Addison United States	7	150 1.1×	75 0.9×	88 1.7×	39 1.7×	20 1.0×	9	227
Wolfram Pohlers Germany	8	224 1.6×	177 2.2×	61 1.2×	35 1.5×	44 2.1×	17	292
S. K. Thomason Canada	13	220 1.6×	240 3.0×	27 0.5×	9 0.4×	27 1.3×	24	338
Stanley S. Wainer United Kingdom	9	207 1.5×	132 1.7×	57 1.1×	29 1.3×	3 0.1×	21	242
Itay Neeman United States	11	189 1.4×	93 1.2×	193 3.8×	109 4.7×	7 0.3×	37	293
Piergiorgio Odifreddi Italy	5	172 1.3×	92 1.2×	44 0.9×	26 1.1×	5 0.2×	15	210
Kenneth McAloon United States	8	152 1.1×	52 0.7×	89 1.7×	40 1.7×	9 0.4×	13	179
Akiko Kino Ghana	5	163 1.2×	131 1.7×	25 0.5×	30 1.3×	19 0.9×	8	229
Peter Cholak United States	12	336 2.5×	91 1.2×	147 2.9×	28 1.2×	4 0.2×	45	367
Alberto Marcone Italy	9	184 1.4×	53 0.7×	111 2.2×	51 2.2×	7 0.3×	32	218

Countries citing papers authored by Toshiyasu Arai

Since Specialization

Citations

This map shows the geographic impact of Toshiyasu Arai's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Toshiyasu Arai with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Toshiyasu Arai more than expected).

Fields of papers citing papers by Toshiyasu Arai

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Toshiyasu Arai. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Toshiyasu Arai. The network helps show where Toshiyasu Arai may publish in the future.

Co-authorship network of co-authors of Toshiyasu Arai

This figure shows the co-authorship network connecting the top 25 collaborators of Toshiyasu Arai. A scholar is included among the top collaborators of Toshiyasu Arai based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Toshiyasu Arai. Toshiyasu Arai is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Arai, Toshiyasu, Stanley S. Wainer, & Andreas Weiermann. (2021). GOODSTEIN SEQUENCES BASED ON A PARAMETRIZED ACKERMANN–PÉTER FUNCTION. Bulletin of Symbolic Logic. 27(2). 168–186.

Arai, Toshiyasu. (2020). Ordinal Analysis with an Introduction to Proof Theory. 4 indexed citations

Arai, Toshiyasu. (2020). A SIMPLIFIED ORDINAL ANALYSIS OF FIRST-ORDER REFLECTION. Journal of Symbolic Logic. 85(3). 1163–1185.

Arai, Toshiyasu, David Fernández–Duque, Stanley S. Wainer, & Andreas Weiermann. (2019). Predicatively unprovable termination of the Ackermannian Goodstein process. Proceedings of the American Mathematical Society. 148(8). 3567–3582. 2 indexed citations

Arai, Toshiyasu. (2015). Intuitionistic fixed point theories over set theories. Archive for Mathematical Logic. 54(5-6). 531–553.

Arai, Toshiyasu. (2014). LIFTING PROOF THEORY TO THE COUNTABLE ORDINALS: ZERMELO-FRAENKEL SET THEORY. Journal of Symbolic Logic. 79(2). 325–354. 2 indexed citations

Arai, Toshiyasu. (2011). Quick cut-elimination for strictly positive cuts. Annals of Pure and Applied Logic. 162(10). 807–815. 1 indexed citations

Arai, Toshiyasu. (2010). Exact bounds on epsilon processes. Archive for Mathematical Logic. 50(3-4). 445–458. 1 indexed citations

Arai, Toshiyasu. (2010). Wellfoundedness proofs by means of non-monotonic inductive definitions II: First order operators. Annals of Pure and Applied Logic. 162(2). 107–143. 4 indexed citations

10.

Arai, Toshiyasu. (2005). Ideas in the epsilon substitution method for Π10-FIX. Annals of Pure and Applied Logic. 136(1-2). 3–21. 3 indexed citations

11.

Arai, Toshiyasu. (2004). Proof theory for theories of ordinals II: Π3-reflection. Annals of Pure and Applied Logic. 129(1-3). 39–92. 10 indexed citations

12.

Arai, Toshiyasu. (2003). Epsilon substitution method for ID1(Π10∨Σ10). Annals of Pure and Applied Logic. 121(2-3). 163–208. 10 indexed citations

13.

Arai, Toshiyasu. (2003). Proof theory for theories of ordinals—I: recursively Mahlo ordinals. Annals of Pure and Applied Logic. 122(1-3). 1–85. 11 indexed citations

14.

Arai, Toshiyasu. (2000). A bounded arithmetic AID for Frege systems. Annals of Pure and Applied Logic. 103(1-3). 155–199. 10 indexed citations

15.

Arai, Toshiyasu. (2000). Ordinal diagrams for recursively Mahlo universes. Archive for Mathematical Logic. 39(5). 353–391. 9 indexed citations

16.

Arai, Toshiyasu. (2000). Wolfram Pohlers. Subsystems of set theory and second-order number theory. Handbook of proof theory, edited by Samuel R. Buss, Studies in logic and the foundations of mathematics, vol. 137, Elsevier, Amsterdam etc. 1998, pp. 209–335.. Bulletin of Symbolic Logic. 6(4). 467–469. 1 indexed citations

17.

Arai, Toshiyasu & Grigori Mint︠s︡. (2000). Extended normal form theorems for logical proofs from axioms. Theoretical Computer Science. 232(1-2). 121–132.

18.

Arai, Toshiyasu. (1998). Some results on cut-elimination, provable well-orderings, induction and reflection. Annals of Pure and Applied Logic. 95(1-3). 93–184. 12 indexed citations

19.

Arai, Toshiyasu. (1991). A slow growing analogue to buchholz' proof. Annals of Pure and Applied Logic. 54(2). 101–120. 13 indexed citations

20.

Arai, Toshiyasu. (1984). An accessibility proof of ordinal diagrams in intuitionistic theories for iterated inductive definitions. Tsukuba Journal of Mathematics. 8(2). 7 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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