Temporal Verification of Reactive Systems: Safety

0: Preliminary Concepts.- 0.1 Fair Transition System.- 0.2 A Programming Language (SPL): Syntax.- 0.3 A Programming Language (SPL): Semantics.- 0.4 Modules.- 0.5 Temporal Logic.- 0.6 Specification of Properties.- 0.7 Overview of the Verification Framework.- Problems.- Bibliographic Remarks.- 1: Invariance: Proof Methods.- 1.1 Preliminary Notions.- 1.2 Invariance Rule.- 1.3 Finding Inductive Assertions: The Bottom-Up Approach.- 1.4 Finding Inductive Assertions: The Top-Down Approach.- 1.5 Refining Invariants.- Problems.- Bibliographic Remarks.- 2: Invariance: Applications.- 2.1 Parameterized Programs.- 2.2 Single-Resource Allocation.- 2.3 Multiple-Resource Allocation.- 2.4 Constructing Linear Invariants.- 2.5 Completeness.- 2.6 Finite-State Algorithmic Verification.- Problems.- Bibliographic Remarks.- 3: Precedence.- 3.1 Waiting-for Rule.- 3.2 Nested Waiting-for Rule.- 3.3 Verification Diagrams.- 3.4 Overtaking Analysis for a Resource Allocator.- * 3.5 Completeness.- * 3.6 Finite-State Algorithmic Verification.- Problems.- Bibliographic Remarks.- 4: General Safety.- 4.1 Invariance Rule for Past Formulas.- 4.2 Applications of the Past Invariance Rule.- 4.3 Compositional Verification.- 4.4 Causality Rule.- 4.5 Backward Analysis.- 4.6 Order-Preservation Properties.- 4.7 History Variables.- 4.8 Back-to Rule.- * 4.9 Completeness.- * 4.10 Finite-State Algorithmic Verification.- Problems.- Bibliographic Remarks.- 5: Algorithmic Verification of General Formulas.- 5.1 Satisfiability of a Temporal Formula.- 5.2 Satisfiability over a Finite-State Program.- 5.3 Validity over a Finite-State Program: Examples.- 5.4 Incremental Tableau Construction.- 5.5 Particle Tableaux.- Problems.- Bibliographic Remarks.- References.- Index to Symbols.- General Index.