Algebraic automata theory

W.M.L. Holcombe

This is a self-contained, modern treatment of the algebraic theory of machines. Dr Holcombe examines various applications of the idea of a machine in biology, biochemistry and computer science and gives also a rigorous treatment of the way in which these machines can be decomposed and simulated by simpler ones. This treatment is based on fundamental ideas from modern algebra. Motivation for many of the newer results is provided by way of applications so this account should be accessible and valuable for those studying applied algebra or theoretical computer science at advanced undergraduate or beginning postgraduate level, as well as for those undertaking research in those areas.

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  • Introduction
  • 1. Semigroups and their relatives
  • 2. Machines and semigroups
  • 3. Decompositions
  • 4. The holonomy decomposition
  • 5. Recognizers
  • 6. Sequential machines and functions
  • Appendix
  • References
  • Index of notation
  • Index.

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書名 Algebraic automata theory
著作者等 Holcombe, W. M. L.
Bollobas B.
Fulton W.
Katok A.
Kirwan F.
Sarnak P.
Simon B.
Totaro B.
Holcombe M.
シリーズ名 Cambridge studies in advanced mathematics
出版元 Cambridge University Press
刊行年月 2004, c1982
ページ数 xi, 228 p.
大きさ 23 cm
ISBN 9780521604925
NCID BA72632488
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言語 英語
出版国 イギリス