The Foundations of Program Verification (Wiley Teubner Series in Computer Science)

The Foundations of Program Verification Second Edition Jacques Loeckx and Kurt Sieber Fachbereich informatik Universitä t des Saariandes, Saarbrü cken, Germany In collaboration with Ryan D. Stansifer Department of Computer Science Cornell University, USA This revised edition provides a precise mathematical background to several program verification techniques. It concentrates on those verification methods that have now become classic, such as the inductive assertions method of Floyd, the axiomatic method of Hoare, and Scott' s fixpoint induction. The aim of the book is to present these different verification methods in a simple setting and to explain their mathematical background in particular the problems of correctness and completeness of the different methods are discussed in some detail and many helpful examples are included. Contents Authors' Preface

Part A: Preliminaries
1. Mathematical Preliminaries
2. Predicate Logic
Part B: Semantics of Programming Languages
• Three Simple Programming Languages
• Fixpoints in Complete Partial Orders
• Denotational SemanticsPart C: Program Verification Methods
• Correctness of Programs
• The Classical Methods of Floyd
• The Axiomatic Method of Hoare
• Verification Methods Based on Denotational Semantics
• LCF A Logic for Computable FunctionsPart D: Prospects
• An Overview of Further Developments