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Original Essays | September 4, 2014

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Algebraic Automata Theory

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Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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.

Synopsis:

A self-contained, modern treatment of the algebraic theory of machines based on fundamental ideas from modern algebra.

Table of Contents

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.

Product Details

ISBN:
9780521604925
Editor:
Bollobas, Bela
Publisher:
Cambridge University Press
Editor:
Bollobas, Bela
Author:
Katok, A.
Author:
Holcombe, W. M. L.
Author:
Bollobas, B.
Author:
Holcombe, M.
Author:
Fulton, W.
Author:
Sarnak, P.
Author:
Kirwan, F.
Location:
Cambridge
Subject:
Algebra - General
Subject:
Combinatorics
Subject:
Logic
Subject:
Mathematics - Algebra
Edition Description:
Trade paper
Series:
Cambridge Studies in Advanced Mathematics
Series Volume:
1
Publication Date:
20040431
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Pages:
244
Dimensions:
9.00x6.54x.61 in. .82 lbs.

Related Subjects

Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Combinatorics
Science and Mathematics » Mathematics » Foundations and Logic
Science and Mathematics » Mathematics » Logic and Philosophy

Algebraic Automata Theory New Trade Paper
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Product details 244 pages Cambridge University Press - English 9780521604925 Reviews:
"Synopsis" by , 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.
"Synopsis" by , A self-contained, modern treatment of the algebraic theory of machines based on fundamental ideas from modern algebra.
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