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Automata and the word problem

  • Problems Related To The Theory Of Automata
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Formal Properties of Finite Automata and Applications (LITP 1988)

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References

  1. S.I. Adjan, Defining relations and algorithmic problems for groups and semigroups, Tr. Mat. Inst. Steklov 85, 1966(Russian): Am. Math. Soc. (transl.) 152, 1967.

    Google Scholar 

  2. J. Barwise, Handbook of Mathematical Logic, North Holland 1977.

    Google Scholar 

  3. M. Benois, Parties rationnelles du groupe libre, C.R. Acad. Sci. Paris, Sér. A, 269 (1969), 1188–1190.

    Google Scholar 

  4. J. Berstel, Transductions and Context-free Languages, Teubner Studienbücher 1979.

    Google Scholar 

  5. G. Lallement, Semigroups and Combinatorial Applications, Wiley, 1979.

    Google Scholar 

  6. W. Magnus, Das Identitäts — Problem für Gruppen mit einer definierenden Relation, Math. Ann. 106, (1932), 295–307.

    Article  MathSciNet  Google Scholar 

  7. S.W. Margolis and J.C. Meakin, Inverse monoids, trees and context-free languages, Submitted for publication.

    Google Scholar 

  8. S.W. Margolis, J.C. Meakin and J.B. Stephen, Some decision problems for inverse monoid presentations, in "Semigroups and their applications", Goberstein, Higgins (Ed), D. Reidel, 1987, 99–110.

    Google Scholar 

  9. A.A. Markov, On the impossibility of certain algorithms in the theory of associative systems, Dokl. Akad. Nauk 55(1947), 587–590; II, 58(1947), 353–356 (Russian)

    Google Scholar 

  10. W.D. Munn, Free inverse semigroups, Proc. London Math. Soc. 30(1974), 385–404.

    Google Scholar 

  11. M. Petrich, Inverse Semigroups, Wiley, 1984.

    Google Scholar 

  12. E.L. Post, Recursive unsolvability of a problem of Thue, J. Symb. Logic 12(1947), 1–11.

    Google Scholar 

  13. M.O. Rabin, Decidability of second order theories and automata on infinite trees, Trans. Amer. Math. Soc. 141(1969), 1–35.

    Google Scholar 

  14. M.O. Rabin, Automata on infinite objects and Church's problem, C.B.M.S. Regional Conf. Series in Math., No. 14(1971), Amer. Math. Soc.

    Google Scholar 

  15. J.B. Stephen, Applications of automata theory to presentations of monoids and inverse monoids, Ph.D. Thesis, Univ. of Nebraska, 1987.

    Google Scholar 

  16. J.B. Stephen, Presentations of inverse monoids, Submitted for publication.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Nebraska, 68588, Lincoln, Nebraska, U.S.A.

    John Meakin

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  1. John Meakin
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J. E. Pin

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© 1989 Springer-Verlag Berlin Heidelberg

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Meakin, J. (1989). Automata and the word problem. In: Pin, J.E. (eds) Formal Properties of Finite Automata and Applications. LITP 1988. Lecture Notes in Computer Science, vol 386. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0013114

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  • DOI: https://doi.org/10.1007/BFb0013114

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51631-6

  • Online ISBN: 978-3-540-46721-2

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