Regular algebra and finite machines 0412106205, 9780412106200
World-famous mathematician John H. Conway based this classic text on a 1966 course he taught at Cambridge University. Ge
182 31 1MB
English Pages 153 [155] Year 1971
Table of contents :
Cover
Title Page
Table of Contents
Preface
Preliminaries to the Moore Theory
1. Moores theory of experiments
2. Bombs and detonators
3. Kleenes theory of regular events and expressions
4. Kleene algebras: 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 algebras
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
Cover
Title Page
Table of Contents
Preface
Preliminaries to the Moore Theory
1. Moores theory of experiments
2. Bombs and detonators
3. Kleenes theory of regular events and expressions
4. Kleene algebras: 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 algebras
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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