William W. Boone

903 total citations
21 papers, 418 citations indexed

About

William W. Boone is a scholar working on Computational Theory and Mathematics, Artificial Intelligence and Geometry and Topology. According to data from OpenAlex, William W. Boone has authored 21 papers receiving a total of 418 indexed citations (citations by other indexed papers that have themselves been cited), including 10 papers in Computational Theory and Mathematics, 6 papers in Artificial Intelligence and 4 papers in Geometry and Topology. Recurrent topics in William W. Boone's work include semigroups and automata theory (8 papers), Computability, Logic, AI Algorithms (5 papers) and Logic, programming, and type systems (4 papers). William W. Boone is often cited by papers focused on semigroups and automata theory (8 papers), Computability, Logic, AI Algorithms (5 papers) and Logic, programming, and type systems (4 papers). William W. Boone collaborates with scholars based in United States, United Kingdom and Norway. William W. Boone's co-authors include Graham Higman, Gilbert Baumslag, Β Neumann, Wilhelm Magnus, Сергей Иванович Адян and Donald J. Collins and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Mathematics of Computation and Annals of Mathematics.

In The Last Decade

William W. Boone

20 papers receiving 310 citations

Peers

William W. Boone

CTM

DMC

Michael Morley United States

J. C. E. Dekker United States

C. J. Ash Australia

Geert Prins United States

M. I. Kargapolov Ukraine

Daniel E. Cohen United Kingdom

Roland Fraïssé

Douglas Hensley United States

Olof Hanner Sweden

B. Plotkin Israel

Michael Morley United States

William W. Boone

296 ×1.0

CTM

329 ×1.7

77 ×0.6

120 ×1.8

153 ×2.6

DMC

Citations per year, relative to William W. Boone William W. Boone (= 1×) peers Michael Morley

Countries citing papers authored by William W. Boone

Since Specialization

Citations

This map shows the geographic impact of William W. Boone'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 William W. Boone with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites William W. Boone more than expected).

Fields of papers citing papers by William W. Boone

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by William W. Boone. 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 William W. Boone. The network helps show where William W. Boone may publish in the future.

Co-authorship network of co-authors of William W. Boone

This figure shows the co-authorship network connecting the top 25 collaborators of William W. Boone. A scholar is included among the top collaborators of William W. Boone 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 William W. Boone. William W. Boone is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Адян, Сергей Иванович, William W. Boone, & Graham Higman. (1980). Word problems II : the Oxford book. Elsevier eBooks. 5 indexed citations

Boone, William W. & Donald J. Collins. (1974). Embeddings into groups with only a few defining relations. Journal of the Australian Mathematical Society. 18(1). 1–7. 2 indexed citations

Magnus, Wilhelm, et al.. (1974). Word Problems. Decision Problems and the Burnside Problem in Group Theory. Mathematics of Computation. 28(127). 866–866. 14 indexed citations

Boone, William W. & Graham Higman. (1974). An algebraic characterization of groups with soluble word problem. Journal of the Australian Mathematical Society. 18(1). 41–53. 36 indexed citations

Boone, William W.. (1971). Word Problems and Recursively Enumerable Degrees of Unsolvability. Annals of Mathematics. 94(3). 389–389. 15 indexed citations

Boone, William W., et al.. (1966). On a Problem of J.H.C. Whitehead and a Problem of Alonzo Church.. MATHEMATICA SCANDINAVICA. 19. 185–185. 20 indexed citations

Boone, William W.. (1966). Word Problems and Recursively Enumerable Degrees of Unsolvability. A First Paper on Thue Systems. Annals of Mathematics. 83(3). 520–520. 27 indexed citations

Boone, William W.. (1965). FINITELY PRESENTED GROUP WHOSE WORD PROBLEM HAS THE SAME DEGREE AS THAT OF AN ARBITRARILY GIVEN THUE SYSTEM (AN APPLICATION OF METHODS OF BRITTON). Proceedings of the National Academy of Sciences. 53(2). 265–269. 7 indexed citations

Boone, William W.. (1962). Partial results regarding word problems and recursively enumerable degrees of unsolvability. Bulletin of the American Mathematical Society. 68(6). 616–623. 9 indexed citations

10.

Baumslag, Gilbert, William W. Boone, & Β Neumann. (1959). Some Unsolvable Problems about Elements and Subgroups of Groups.. MATHEMATICA SCANDINAVICA. 7. 191–191. 26 indexed citations

11.

Boone, William W.. (1959). The Word Problem. Annals of Mathematics. 70(2). 207–207. 115 indexed citations

12.

Boone, William W.. (1958). THE WORD PROBLEM. Proceedings of the National Academy of Sciences. 44(10). 1061–1065. 22 indexed citations

13.

Boone, William W.. (1958). An Analysis of Turing's "The Word Problem in Semi-Groups with Cancellation". Annals of Mathematics. 67(1). 195–195. 4 indexed citations

14.

Boone, William W.. (1957). Certain Simple, Unsolvable Problems of Group Theory. VI. Indagationes Mathematicae (Proceedings). 60. 227–232. 9 indexed citations

15.

Boone, William W.. (1957). Certain Simple, Unsolvable Problems of Group Theory. V 29,3029Parts I, II, III and IV have appeared in Series A, 57, Nos. 3 and 5; 58, Nos. 2 and 5 of these Proceedings, as well as Indag. Math., 16, Nos. 3 and 5 (1954); 17, Nos. 2 and 5 (1955).In Part I, page 234, the ninth and tenth lines following the displayed material, for both occurrences of A read D and for both occurrences of B read E: In part II, page 497, for all occurrences of M in Diagrams A and D read C. In Part IV, page 574, the third displayed line, for zαiLread z―αiL. 19).30The proof of the unsolvability of the word problem contained in this and subsequent paper is not contained in the dissertation Several simple unsolvable problems of group theory related to the word problem. (See footnote 1 of Part I.) Our proof was finally completed during the period 1954-56 while in residence at the Institute for Advanced Study. We were supported in 1954-55 directly by the Institute and in 1955-56 by National Science Foundation contract G-1974. Certain improvements were evolved ans preparations for publication were completed while the author held a Fulbright grant to the University of Oslo.Our thanks are due to Professor Kurt Gödel for his kind encouragement in these matter; certain related problems for study he has suggested we hope to deal with later. When an earlier version of Lemmas 30 and 31 was explained at a colloquium at the University of Michigan, August 3, 1956, Professor Roger Lyndon suggested an improvement which is incorporated in our present version. We are indeed indebted to Dr. John Addison and Dr. Michael Rabin for checking many of the new details during July of 1956.). Indagationes Mathematicae (Proceedings). 60. 22–27. 7 indexed citations

16.

Boone, William W.. (1955). Certain simple unsolvable problems of group theory. III. Indagationes Mathematicae (Proceedings). 58. 252–256. 37 indexed citations

17.

Boone, William W.. (1955). Certain simple, unsolvable problems of group theory. IV. Indagationes Mathematicae (Proceedings). 58. 571–577. 7 indexed citations

18.

Boone, William W.. (1954). Certain Simple, Unsolvable Problems of Group Theory. I1)1)Unless otherwise indicated, the results and proofs of this and subsequent related papers are as given (in somewhat more detail) in Several simple unsolvable problems of group theory related to the word problem, a doctoral dissertation accepted by Princeton University in April, 1952. The proof of the unsolvability of the quasi-MAGNUS problem was presented to a meeting of The Association for Symbolic Logic, April 28, 1951. (Abstract, Journal of Symbolic Logic, 16, 237.)Our thanks are due to Professors Alonzo Church and Roger Lyndon for their constructive suggestions regarding this dissertation; to Professor Wilhelm Magnus, for stimulating discussions regarding possible extensions.. Indagationes Mathematicae (Proceedings). 57. 231–237. 14 indexed citations

19.

Boone, William W.. (1954). Certain Simple, Unsolvable Problems of Group Theory. II 11)11)Part I appears in Series A, 57, No. 3 of these Proceedings and Indag. Math., 16, No. 3, 1954.. Indagationes Mathematicae (Proceedings). 57. 492–497. 7 indexed citations

20.

Boone, William W.. (1952). A. M. Turing. The word problem in semi-groups with cancellation. Annals of mathematics, ser. 2 vol. 52 (1950), pp. 491–505.. Journal of Symbolic Logic. 17(1). 74–76. 1 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.

Explore authors with similar magnitude of impact