Rudiments of Calculus
eBook - ePub

Rudiments of Calculus

  1. 298 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Rudiments of Calculus

About this book

This book presents what in our opinion constitutes the basis of the theory of the mu-calculus, considered as an algebraic system rather than a logic. We have wished to present the subject in a unified way, and in a form as general as possible. Therefore, our emphasis is on the generality of the fixed-point notation, and on the connections between mu-calculus, games, and automata, which we also explain in an algebraic way. This book should be accessible for graduate or advanced undergraduate students both in mathematics and computer science. We have designed this book especially for researchers and students interested in logic in computer science, comuter aided verification, and general aspects of automata theory. We have aimed at gathering in a single place the fundamental results of the theory, that are currently very scattered in the literature, and often hardly accessible for interested readers. The presentation is self-contained, except for the proof of the Mc-Naughton's Determinization Theorem (see, e.g., [97]. However, we suppose that the reader is already familiar with some basic automata theory and universal algebra. The references, credits, and suggestions for further reading are given at the end of each chapter.

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Information

Publisher
North Holland
Year
2001
Topic
Mathematics
eBook ISBN
9780080516455
Subtopic
Computer Science General
Index
Mathematics

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Studies in Logic and the Foundations of Mathematics
  5. Copyright page
  6. Dedication
  7. Preface
  8. Chapter 1: Complete lattices and fixed-point theorems
  9. Chapter 2: The μ-calculi: Syntax and semantics
  10. Chapter 3: The Boolean μ-calculus
  11. Chapter 4: Parity games
  12. Chapter 5: The μ-calculus on words
  13. Chapter 6: The μ-calculus over powerset algebras
  14. Chapter 7: The μ-calculus vs. automata
  15. Chapter 8: Hierarchy problems
  16. Chapter 9: Distributivity and normal form results
  17. Chapter 10: Decision problems
  18. Chapter 11: Algorithms
  19. Bibliography
  20. Index

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Yes, you can access Rudiments of Calculus by A. Arnold,D. Niwinski in PDF and/or ePUB format, as well as other popular books in Mathematics & Computer Science General. We have over 1.5 million books available in our catalogue for you to explore.