Temporal Logic and State Systems

Temporal logic has developed over the last 30 years into a powerful formal setting for the specification and verification of state-based systems. Based on university lectures given by the authors, this book is a comprehensive, concise, uniform, up-to-date presentation of the theory and applications of linear and branching time temporal logic; TLA (Temporal Logic of Actions); automata theoretical connections; model checking; and related theories.

All theoretical details and numerous application examples are elaborated carefully and with full formal rigor, and the book will serve as a basic source and reference for lecturers, graduate students and researchers.

• Branching-time temporal logic, CTL, CTL*
• Concurr
• Concurrent programming
• Correct software development
• Formal methods of system development
• Linear-time temporal logic, LTL and its variants
• Refinement, composition, and hiding
• Specification, correctness properties
• Temporal Logic of Actions, TLA
• Temporal logic
• Verification, proof rules
• automata
• logic
• model checking
• verification

From the reviews:

"In the book under review, significant new materials and approaches are included, in particular, branching time logics, expressiveness issues of temporal logic, aspects related to Lamport’s Temporal Logic of Actions (TLA), and model checking methods. … The book is well written and almost self-contained. It can be useful as an introduction and reference for scientists and practicing software engineers who want to familiarize themselves with the field. The book can be used for courses at the advanced undergraduate and the graduate levels.” (Regimantas Pliuškevicius, Mathematical Reviews, Issue 2009 m)

“The book consists of 11 chapters, followed by a list of temporal logic laws and axiomatic systems, a bibliography with 161 references, and a subject index. Each chapter ends with brief bibliographic notes. … This is a rich in content book, with many important topics and examples treated in much technical depth. … a rich, useful, and valuable text, that can be recommended as a research reference, graduate course textbook, or a source for self-study on temporal logic in computer science.”­­­ (Valentin Goranko, Studia Logica, Vol. 94, 2010)

• Institut für Informatik Ludwig-Maximilians-Universität München, 80538 München, Germany

  Fred Kröger

• INRIA Lorraine & LORIA, 54602 Villers-lés-Nancy, France

  Stephan Merz

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