Synopses & Reviews
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.
Synopsis
A world-famous mathematician explores Moore's theory of experiments, Kleene's theory of regular events and expressions, differential calculus of events, the factor matrix, theory of operators, much more. Solutions. 1971 edition.
Synopsis
A world-famous mathematician explores 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 context-free languages, communicative regular algebra, axiomatic questions, and logical problems. Solutions to problems. 1971 edition.
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