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Induction-based Verification of Timed Systems / vorgelegt von Tobias Isenberg, M.Sc. Paderborn, 2016
Content
List of Figures
List of Tables
Introduction
Problem Definition
Contribution
Thesis Outline
Background
Timed Automata
Decidability and Abstractions
Related work
SAT- & SMT-Solving
SAT-Solving
SMT-Solving
Induction based Reasoning
IC3
Algorithm and Explanation
Optimizations
IC3 with SMT
IC3 for TA
Timed Automata Verification via IC3 with Zones
SMT-Encoding
Variables
Encoding of the Initial States
Encoding of Clock Constraints
Encoding of Integer Constraints
Encoding of Invariants
Encoding of Clock and Integer Updates
Encoding of Edges
Encoding of Transition Relation
Encoding of Safety Property
Usage of the Encodings in the Queries
State Extraction
Zone Abstraction
Zone Computation
Integer Constraint Computation
Algorithm
Termination
Evaluation
Benchmark Models
Implementation
Heuristics for ordering Literals
Experiments
Inductive Strengthening Experiments
Summary
Incremental Inductive Verification of Parameterized Timed Systems
Restrictions
Symmetry
Specification via Templates
Decidability
Basic Approach
Optimizations
Feedback Loop
Generalization
Combination
Evaluation
Experiments
Comparison with fixed Models
Related Work
Summary
Verification of Extended Parameterized Timed Systems
Extension of the Modeling Approach
Symmetry
Experiments
Summary
Inductive Verification of Reconfigured Models
Adaptation of the Formula
Approach in Summary
Experiments
Experiments with Addition
Experiments with Deletion
Experiments with Large Models
Experiments with Constants
Counterexample Experiment
Related Work
Summary
Conclusion
Discussion
Design Decisions
Application Scope and Restrictions
Strengths and Weaknesses
Future Work
IC3 with Zones - Technique
Parameterized Timed Systems - Technique
General Reconfigurations - Technique
Summary
Experimental Results
Runtime and Memory Consumption of Experiments
Proofs
Templates guarantee Symmetry
Proof of Termination Theorem
Bibliography
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