Local Proofs for Linear-Time Properties of Concurrent Programs 1st edition by Ariel Cohen, Kedar Namjoshi ISBN 3540705437 9783540705437

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Product details:

ISBN 10:       3540705437
ISBN 13: 978-3540705437
Author:    Ariel Cohen, Kedar S. Namjoshi     

This paper develops a local reasoning method to check linear-time temporal properties of concurrent programs. In practice, it is often infeasible to model check over the product state space of a concurrent program. The method developed in this paper replaces such global reasoning with checks of (abstracted) individual processes. An automatic refinement step gradually exposes local state if necessary, ensuring that the method is complete. Experiments show that local reasoning can hold a significant advantage over global reasoning.

Local Proofs for Linear-Time Properties of Concurrent Programs 1st Table of contents:

Chapter 1: Introduction
1.1 Overview of Concurrent Programs
1.2 Linear-Time Properties in Concurrent Systems
1.3 The Role of Proofs in Concurrent Program Verification
1.4 Motivation for Local Proofs
1.5 Objectives of the Paper
1.6 Structure of the Paper

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Chapter 2: Background and Related Work
2.1 Concurrency and Its Challenges in Program Verification
2.2 Linear-Time Temporal Logic (LTL) and Its Use in Program Properties
2.3 Local vs Global Proofs: A Comparative Study
2.4 Previous Work on Concurrent Program Verification
2.5 Related Techniques and Approaches in Local Proof Systems

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Chapter 3: Linear-Time Properties of Concurrent Programs
3.1 Definition of Linear-Time Properties
3.2 Examples of Linear-Time Properties in Concurrency
3.3 Temporal Logic and the Formalization of Linear-Time Properties
3.4 Verification of Temporal Properties in Concurrent Systems
3.5 Challenges in Verifying Linear-Time Properties for Concurrent Programs

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Chapter 4: Local Proofs for Linear-Time Properties
4.1 What Are Local Proofs?
4.2 Advantages of Local Proofs in Concurrent Systems
4.3 Characterizing Local Properties in Concurrency
4.4 Formal Definition of Local Proofs for Linear-Time Properties
4.5 Use of Local Proofs in Reducing Verification Complexity

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Chapter 5: Proof Techniques and Methodology
5.1 Constructing Local Proofs for Concurrent Programs
5.2 Verification Methods Based on Local Proofs
5.3 Modular Proofs and Their Role in Linear-Time Property Verification
5.4 Inductive Techniques for Local Proofs
5.5 Tools and Frameworks Supporting Local Proofs

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Chapter 6: Case Studies and Applications
6.1 Case Study 1: Verifying Mutual Exclusion in Concurrent Programs
6.2 Case Study 2: Deadlock Freedom Verification Using Local Proofs
6.3 Application in Real-Time Systems and Safety Properties
6.4 Scaling Local Proofs to Large-Scale Concurrent Systems
6.5 Lessons Learned from Practical Applications

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Chapter 7: Algorithmic and Computational Aspects
7.1 Computational Complexity of Local Proofs for Linear-Time Properties
7.2 Efficiency of Local Proof Methods Compared to Global Proofs
7.3 Automated Techniques for Generating Local Proofs
7.4 Tools and Algorithms for Linear-Time Property Verification
7.5 Scalability Challenges in Local Proof Systems

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Chapter 8: Challenges and Limitations
8.1 Handling Complex Concurrent Behaviors with Local Proofs
8.2 Limitations of Local Proofs in Expressing Certain Properties
8.3 Dealing with Non-Determinism and Interleaving in Concurrent Programs
8.4 Accuracy and Completeness of Local Proofs
8.5 Integration with Other Verification Approaches

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Chapter 9: Open Problems and Future Directions
9.1 Unsolved Problems in Local Proofs for Concurrent Programs
9.2 Enhancing Automation in Local Proof Construction
9.3 Future Research Directions in Temporal Property Verification
9.4 Exploring Compositional Methods for Large-Scale Concurrent Systems
9.5 Emerging Trends in Verification of Concurrent Programs

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Chapter 10: Conclusion
10.1 Summary of Key Findings
10.2 Impact of Local Proofs on Verification of Concurrent Programs
10.3 Final Thoughts on Verification of Linear-Time Properties
10.4 Future Prospects in Verification and Concurrency Theory

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