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About this book

The use of mathematical methods in the development of software is essential when reliable systems are sought; in particular they are now strongly recommended by the official norms adopted in the production of critical software. Program Verification is the area of computer science that studies mathematical methods for checking that a program conforms to its specification. This text is a self-contained introduction to program verification using logic-based methods, presented in the broader context of formal methods for software engineering. The idea of specifying the behaviour of individual software components by attaching contracts to them is now a widely followed approach in program development, which has given rise notably to the development of a number of behavioural interface specification languages and program verification tools. A foundation for the static verification of programs based on contract-annotated routines is laid out in the book. These can be independently verified, which provides a modular approach to the verification of software. The text assumes only basic knowledge of standard mathematical concepts that should be familiar to any computer science student. It includes a self-contained introduction to propositional logic and first-order reasoning with theories, followed by a study of program verification that combines theoretical and practical aspects - from a program logic (a variant of Hoare logic for programs containing user-provided annotations) to the use of a realistic tool for the verification of C programs (annotated using the ACSL specification language), through the generation of verification conditions and the static verification of runtime errors.

Table of Contents

2011 | OriginalPaper | Chapter

Chapter 1. Introduction

José Bacelar Almeida, Maria João Frade, Jorge Sousa Pinto, Simão Melo de Sousa

2011 | OriginalPaper | Chapter

Chapter 2. An Overview of Formal Methods Tools and Techniques

José Bacelar Almeida, Maria João Frade, Jorge Sousa Pinto, Simão Melo de Sousa

2011 | OriginalPaper | Chapter

Chapter 3. Propositional Logic

José Bacelar Almeida, Maria João Frade, Jorge Sousa Pinto, Simão Melo de Sousa

2011 | OriginalPaper | Chapter

Chapter 4. First-Order Logic

José Bacelar Almeida, Maria João Frade, Jorge Sousa Pinto, Simão Melo de Sousa

2011 | OriginalPaper | Chapter

Chapter 5. Hoare Logic

José Bacelar Almeida, Maria João Frade, Jorge Sousa Pinto, Simão Melo de Sousa

2011 | OriginalPaper | Chapter

Chapter 6. Generating Verification Conditions

José Bacelar Almeida, Maria João Frade, Jorge Sousa Pinto, Simão Melo de Sousa

2011 | OriginalPaper | Chapter

Chapter 7. Safety Properties

José Bacelar Almeida, Maria João Frade, Jorge Sousa Pinto, Simão Melo de Sousa

2011 | OriginalPaper | Chapter

Chapter 8. Procedures and Contracts

José Bacelar Almeida, Maria João Frade, Jorge Sousa Pinto, Simão Melo de Sousa

2011 | OriginalPaper | Chapter

Chapter 9. Specifying C Programs

José Bacelar Almeida, Maria João Frade, Jorge Sousa Pinto, Simão Melo de Sousa

2011 | OriginalPaper | Chapter

Chapter 10. Verifying C Programs

José Bacelar Almeida, Maria João Frade, Jorge Sousa Pinto, Simão Melo de Sousa
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