Dynamic logic /

Dynamic logic /

Saved in:

Bibliographic Details
Author / Creator:	Harel, David, 1950-
Imprint:	Cambridge, Mass. : MIT Press, 2000.
Description:	1 online resource (xv, 459 pages) : illustrations.
Language:	English
Series:	Foundations of computing. Foundations of computing.
Subject:	Computer logic. Formal methods (Computer science) Computer logic. Formal methods (Computer science) Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11138829

Hidden Bibliographic Details
Other authors / contributors:	Kozen, Dexter, 1951- Tiuryn, Jerzy.
ISBN:	9780262274951 0262274957 1423728335 9781423728337 0262082896 (alk. hc) 9780262527668 0262527669
Notes:	Includes bibliographical references and index. English. Print version record.
Summary:	Among the many approaches to formal reasoning about programs, Dynamic Logic enjoys the singular advantage of being strongly related to classical logic. Its variants constitute natural generalizations and extensions of classical formalisms. For example, Propositional Dynamic Logic (PDL) can be described as a blend of three complementary classical ingredients: propositional calculus, modal logic, and the algebra of regular events. In First-Order Dynamic Logic (DL), the propositional calculus is replaced by classical first-order predicate calculus. Dynamic Logic is a system of remarkable unity that is theoretically rich as well as of practical value. It can be used for formalizing correctness specifications and proving rigorously that those specifications are met by a particular program. Other uses include determining the equivalence of programs, comparing the expressive power of various programming constructs, and synthesizing programs from specifications.This book provides the first comprehensive introduction to Dynamic Logic. It is divided into three parts. The first part reviews the appropriate fundamental concepts of logic and computability theory and can stand alone as an introduction to these topics. The second part discusses PDL and its variants, and the third part discusses DL and its variants. Examples are provided throughout, and exercises and a short historical section are included at the end of each chapter.
Other form:	Print version: Harel, David, 1950- Dynamic logic. Cambridge, Mass. : MIT Press, 2000 0262082896

Table of Contents:

I. Fundamental Concepts
1. Mathematical Preliminaries
2. Computability and Complexity
3. Logic
4. Reasoning About Programs
II. Propositional Dynamic Logic
5. Propositional Dynamic Logic
6. Filtration and Decidability
7. Deductive Completeness
8. Complexity of PDL
9. Nonregular PDL
10. Other Variants of PDL
III. First-Order Dynamic Logic
11. First-Order Dynamic Logic
12. Relationships with Static Logics
13. Complexity
14. Axiomatization
15. Expressive Power
16. Variants of DL
17. Other Approaches.