This is a systematic and comprehensive introduction both to compositional proof methods for the state-based verification of concurrent programs, such as the assumption-commitment and rely-guarantee paradigms, and to noncompositional methods, whose presentation culminates in an exposition of the communication-closed-layers (CCL) paradigm for verifying network protocols. Compositional concurrency verification methods reduce the verification of a concurrent program to the independent verification of its parts. If those parts are tightly coupled, one additionally needs verification methods based on the causal order between events. These are presented using CCL. The semantic approach followed here allows a systematic presentation of all these concepts in a unified framework which highlights essential concepts. This 2001 book is self-contained, guiding the reader from advanced undergraduate level. Every method is illustrated by examples, and a picture gallery of some of the subject's key figures complements the text.

• The semantic approach highlights essential concepts without syntactic overhead, and simplifies soundness and completeness proofs • A detailed introduction to compositional proof methods each of which is proved to be sound and (semantically) complete • Every method is illustrated by many examples, and a picture gallery of key figures complements the text

### Contents

Preface; Part I. Introduction and Overview: 1. Introduction; Part II. The Inductive Assertion Method: 2. Floyd's inductive assertion method for transition diagrams; 3. The inductive assertion method for shared-variable concurrency; 4. The inductive assertion method for synchronous message passing; 5. Expressibility and relative completeness; Part III. Compositional Proof Methods: 6. Introduction to compositional reasoning; 7. Compositional proof methods: synchronous message passing; 8. Compositional proof methods: shared-variable concurrency; Part IV. Hoare Logic: 9. A proof system for sequential programs using Hoare triples; 10. A Hoare logic for shared-variable concurrency; 11. A Hoare logic for synchronous message passing; Part V. Layered Design: 12. Transformational design and Hoare logic; Bibliography; Glossary of symbols; Index.

### Review

Review of the hardback: 'The present textbook is a highly welcome addition to the existing literature on program verification, particularly valuable for the well-arranged, methodically unified framework for a wealth of material.' Zentralblatt für Mathematik und ihre Grenzgebiete Mathematics Abstracts