Thread Quantification for Concurrent Shape Analysis 1st edition by Berdine, Lev-Ami, Manevich, Ramalingam, Sagiv ISBN 3540705437 9783540705437

Thread Quantification for Concurrent Shape Analysis 1st edition by J. Berdine, T. Lev-Ami, R. Manevich, G. Ramalingam, M. Sagiv – Ebook PDF Instant Download/Delivery. 3540705437, 978-3540705437
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Product details:

ISBN 10:       3540705437
ISBN 13: 978-3540705437
Author:         J. Berdine, T. Lev-Ami, R. Manevich, G. Ramalingam, M. Sagiv

In this paper we address the problem of shape analysis for concurrent programs. We present new algorithms, based on abstract interpretation, for automatically verifying properties of programs with an unbounded number of threads manipulating an unbounded shared heap.

Our algorithms are based on a new abstract domain whose elements represent thread-quantified invariants: i.e., invariants satisfied by all threads. We exploit existing abstractions to represent the invariants. Thus, our technique lifts existing abstractions by wrapping universal quantification around elements of the base abstract domain. Such abstractions are effective because they are thread modular: e.g., they can capture correlations between the local variables of the same thread as well as correlations between the local variables of a thread and global variables, but forget correlations between the states of distinct threads. (The exact nature of the abstraction, of course, depends on the base abstraction lifted in this style.)

We present techniques for computing sound transformers for the new abstraction by using transformers of the base abstract domain. We illustrate our technique in this paper by instantiating it to the Boolean Heap abstraction, producing a Quantified Boolean Heap abstraction. We have implemented an instantiation of our technique with Canonical Abstraction as the base abstraction and used it to successfully verify linearizability of data-structures in the presence of an unbounded number of threads.

Thread Quantification for Concurrent Shape Analysis 1st  Table of contents:

Chapter 1: Introduction
1.1 Overview of Concurrent Shape Analysis
1.2 Motivation for Thread Quantification
1.3 Challenges in Analyzing Concurrent Programs
1.4 Objectives and Contributions of the Paper
1.5 Structure of the Paper

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Chapter 2: Background and Related Work
2.1 Shape Analysis in Program Verification
2.2 Concurrency and Its Impact on Shape Analysis
2.3 Thread Quantification: Concepts and Importance
2.4 Related Approaches in Concurrent Shape Analysis
2.5 Key Techniques and Tools in Concurrency Analysis

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Chapter 3: Fundamentals of Thread Quantification
3.1 Defining Thread Quantification
3.2 Thread Models in Concurrent Systems
3.3 Quantifying Threads in Shape Analysis
3.4 Semantic Framework for Thread Quantification
3.5 Advantages of Thread Quantification in Program Analysis

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Chapter 4: Theoretical Foundations
4.1 Formal Definitions of Shape and Thread Quantification
4.2 Thread Interference and Isolation
4.3 Concurrency and Memory Models
4.4 Effect of Thread Quantification on Shape Properties
4.5 Soundness and Completeness of Thread Quantification

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Chapter 5: Algorithm for Thread Quantification
5.1 Overview of the Quantification Algorithm
5.2 Step-by-Step Algorithm Description
5.3 Handling Multiple Threads and Shared Memory
5.4 Efficient Data Structures for Thread Quantification
5.5 Complexity Analysis of the Algorithm

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Chapter 6: Integration with Shape Analysis
6.1 Combining Thread Quantification with Shape Analysis
6.2 Modifying Shape Analysis for Concurrent Programs
6.3 Scalable Techniques for Concurrent Shape Analysis
6.4 Handling Pointer Aliasing and Memory Graphs
6.5 Case Studies: Examples of Integrated Analysis

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Chapter 7: Practical Applications
7.1 Applications in Software Verification and Debugging
7.2 Concurrent Program Verification with Thread Quantification
7.3 Memory Safety and Deadlock Detection
7.4 Real-World Use Cases and Case Studies
7.5 Integration with Existing Verification Tools

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Chapter 8: Performance and Optimization
8.1 Benchmarking Thread Quantification Algorithms
8.2 Optimizing Memory Usage and Time Complexity
8.3 Scalability in Large Concurrent Programs
8.4 Comparing Performance with Other Analysis Techniques
8.5 Trade-offs Between Precision and Efficiency

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Chapter 9: Challenges and Open Problems
9.1 Handling Complex Concurrency Patterns
9.2 Thread Quantification in Distributed Systems
9.3 Dealing with Race Conditions and Non-Determinism
9.4 Extending Quantification to More Complex Data Structures
9.5 Future Directions in Concurrent Shape Analysis

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Chapter 10: Conclusion
10.1 Summary of Thread Quantification for Shape Analysis
10.2 Impact of Thread Quantification on Concurrent Program Verification
10.3 Key Contributions and Takeaways
10.4 Outlook for Future Research in Concurrent Shape Analysis

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