Regular Algebra and Finite Machines [NOOK Book]

Overview


World-famous mathematician John H. Conway based this classic text on a 1966 course he taught at Cambridge University. Geared toward graduate students of mathematics, it will also prove a valuable guide to researchers and professional mathematicians.
His topics cover Moore's theory of experiments, Kleene's theory of regular events and expressions, Kleene algebras, the differential calculus of events, factors and the factor matrix, and the theory of operators. Additional subjects...
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Regular Algebra and Finite Machines

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Overview


World-famous mathematician John H. Conway based this classic text on a 1966 course he taught at Cambridge University. Geared toward graduate students of mathematics, it will also prove a valuable guide to researchers and professional mathematicians.
His topics cover Moore's theory of experiments, Kleene's theory of regular events and expressions, Kleene algebras, the differential calculus of events, factors and the factor matrix, and the theory of operators. Additional subjects include event classes and operator classes, some regulator algebras, context-free languages, communicative regular algebra, axiomatic questions, the strength of classical axioms, and logical problems. Complete solutions to problems appear at the end.
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Product Details

  • ISBN-13: 9780486310589
  • Publisher: Dover Publications
  • Publication date: 9/16/2012
  • Series: Dover Books on Mathematics
  • Sold by: Barnes & Noble
  • Format: eBook
  • Pages: 160
  • File size: 6 MB

Table of Contents


Preface
Preliminaries to the Moore Theory
1. Moore's Theory of Experiments
2. Bombs and Detonators
3. Kleene's Theory of RegularEvents and Expressions
4. Kleene Algebra: the One-Variable Theorem
5. The Differential Calculus of Events
6. Factors and the Factor Matrix
7. The Theory of Operators: Biregulators
8. Event Classes and Operator Classes
9. Some Regulator Algebra
10. Context-Free Languages
11. Commutative Regular Algebra
12. Some Axiomatic Questions
13. The Strength of the Classical Axioms
14. Some Computational Techniques
15. Some Logical Problems
Solutions to Problems
Index
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