Covers many formalisms like u-calculus, w-automata, and temporal logics and has special emphasis on the relationship between these formalism.
This book is a solid foundation of the most important formalisms used for specification and verification of reactive systems. In particular, the text presents all important results on m-calculus, w-automata, and temporal logics, shows the relationships between these formalisms and describes state-of-the-art verification procedures for them. It also discusses advantages and disadvantages of these formalisms, and shows up their strengths and weaknesses. Most results are given with detailed proofs, so that the presentation is almost self-contained. Includes all definitions without relying on other materialProves all theorems in detailPresents detailed algorithms in pseudo-code for verification as well as translations to other formalisms
1 Introduction.- 2 A Unified Specification Language.- 3 Fixpoint Calculi.- 4 Finite Automata.- 5 Temporal Logics.- 6 Predicate Logic.- 7 Conclusions.- A Binary Decision Diagrams.- A.1 Basic Definitions.- A.2 Basic Algorithms on BDDs.- A.3 Minimization of BDDs Using Care Sets.- A.4 Computing Successors and Predecessors.- A.5 Variable Reordering.- A.6 Final Remarks.- B.1 A Partial Local Model Checking Procedure.- B.2 A Complete Local Model Checking Procedure.- C Reduction of Structures.- C.1 Galois Connections and Simulations.- C.1.1 Basic Properties of Galois Connections.- C.1.2 Galois Simulation.- C.2 Abstract Structures and Preservation Results.- C.3 Optimal and Faithful Abstractions.- C.4 Data Abstraction.- C.4.1 Abstract Interpretation of Structures.- C.4.2 Abstract Specifications.- C.5 Symmetry and Model Checking.- C.5.1 Symmetries of Structures.- C.5.2 Symmetries in the Specification.- References.