LNAI 2741 Proving Pointer Programs in Higher Order Logic 1st Edition by Farhad Mehta, Tobias Nipkow – Ebook PDF Instant Download/Delivery. 3540405593 ,9783540405597
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ISBN 10: 3540405593
ISBN 13: 9783540405597
Author: Farhad Mehta, Tobias Nipkow
This paper develops sound modelling and reasoning methods for imperative programs with pointers: heaps are modelled as mappings from addresses to values, and pointer structures are mapped to higher-level data types for verification. The programming language is embedded in higher-order logic, its Hoare logic is derived. The whole development is purely definitional and thus sound. The viability of this approach is demonstrated with a non-trivial case study. We show the correctness of the Schorr-Waite graph marking algorithm and present part of the readable proof in Isabelle/HOL.
LNAI 2741 Proving Pointer Programs in Higher Order Logic 1st Edition Table of contents:
Chapter 1: Introduction to Pointer Programs
- What Are Pointer Programs?
- Basic Concepts: Pointers, References, and Memory Management
- Challenges in Proving Pointer Programs
- Applications of Pointer Programs in Systems and Software Development
Chapter 2: Fundamentals of Higher-Order Logic (HOL)
- What is Higher-Order Logic?
- The Basics of Logical Foundations
- Higher-Order Functions and Types
- The Role of HOL in Formal Verification and Proof Systems
Chapter 3: The Need for Formal Verification in Pointer Programs
- Why Proving Pointer Programs is Critical
- Common Errors in Pointer Programs (Memory Leaks, Dangling Pointers, etc.)
- The Role of Formal Verification in Ensuring Program Correctness
- Overview of Pointer Program Verification Techniques
Chapter 4: Tools and Frameworks for Proving Pointer Programs
- Introduction to Formal Proof Systems
- Using Higher-Order Logic in Verification
- Overview of Tools for Proving Pointer Programs: Isabelle, Coq, etc.
- Proof Assistants and Automated Proof Checking
Chapter 5: Proving Properties of Pointer Programs in HOL
- Proving Memory Safety in Pointer Programs
- Addressing Null Dereferencing and Memory Leaks
- Reasoning About Pointer Arithmetic
- Formalizing Pointer Program Properties in Higher-Order Logic
Chapter 6: Data Structures and Pointer Programs
- Modeling Data Structures in Higher-Order Logic
- Lists, Trees, Graphs, and Arrays in HOL
- Proofs Involving Recursive Data Structures
- Proving Correctness of Algorithms on Pointer-Based Data Structures
Chapter 7: The Theory Behind Pointer Program Verification
- Logical Foundations for Pointer Program Verification
- Reasoning about Pointer Manipulation and Memory Regions
- Using Inductive Invariants to Prove Pointer Program Properties
- The Role of Separation Logic in Pointer Program Verification
Chapter 8: Verification Techniques for Specific Pointer Programs
- Case Study 1: Proving List Manipulation Programs
- Case Study 2: Verifying Tree-Based Data Structures in HOL
- Case Study 3: Proving Graph Algorithms with Pointers
- Analyzing and Proving Complex Pointer Programs
Chapter 9: Automation and Efficiency in Proving Pointer Programs
- Challenges in Automating Pointer Program Verification
- Techniques for Automating Higher-Order Logic Proofs
- Optimizing the Proof Search in Pointer Programs
- Practical Considerations for Large-Scale Programs
Chapter 10: Advanced Topics in Higher-Order Logic for Pointer Programs
- Higher-Order Logic and its Extensions for Pointer Program Verification
- Handling Partial Functions and Memory Heaps
- Integration with Model Checking and Other Formal Methods
- Higher-Order Logic in Distributed Systems and Concurrent Programs
Chapter 11: Future Directions and Open Problems
- Emerging Trends in Pointer Program Verification
- Challenges in Verifying Large and Complex Pointer Programs
- Combining Higher-Order Logic with Machine Learning and AI
- Future Research Directions in Formal Methods for Pointer Programs
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