Formal semantics of programming languages

Author: Glynn Winskel
Publisher:
Publish Date: 2004-01-01
Features: This book is a classic work in formal semantics and has been selected as a textbook by many universities both domestically and internationally. It covers topics such as the foundations of set theory, denotational semantics, operational semantics, axiomatic semantics, induction principles, inductive definitions, completeness, domain theory, recursive equations, recursive techniques, higher-order type languages, information systems, recursive types, uncertainty and parallelism, incompleteness, and undecidability. Additionally, the book consistently emphasizes the connection between denotational semantics and operational semantics and provides a proof of their consistency. It includes a wealth of exercises. Based on the author's lecture notes at the University of Cambridge and Aarhus University, this book serves as a textbook for undergraduate and graduate students in computer science and mathematics courses on formal semantics, and is also suitable for reference by software developers. This book, based on the author's lecture notes at the University of Cambridge and Aarhus University, is a rare classic in formal semantics. It provides the necessary mathematical knowledge for readers new to the semantics and logic of programming languages, introducing the mathematical theories, methods, and concepts that underpin the formal semantics of programming languages. These can be used to create, formalize, and prove rules, thereby describing and deriving the various components and properties of different programming languages. The book is rich in content, covering topics such as set theory, denotational semantics, operational semantics, axiomatic semantics, induction principles, completeness, domain theory, information systems, uncertainty and parallelism, incompleteness, and undecidability. At the same time, each chapter includes a wealth of exercises of varying difficulty. This book is suitable as a textbook for senior undergraduate and graduate students in computer science programs on formal semantics, as well as a reference for software developers. Glynn Winskel was a professor in the Department of Computer Science at Aarhus University in Denmark and the director of the Basic Research in Computer Science (BRICS) Center. He is currently a professor at the Computer Laboratory, University of Cambridge. This book, based on the author's lecture notes at the University of Cambridge and Aarhus University, is a rare classic in formal semantics. It provides the necessary mathematical knowledge for readers new to the semantics and logic of programming languages, introducing the mathematical theories, methods, and concepts that underpin the formal semantics of programming languages. These can be used to create, formalize, and prove rules, thereby describing and deriving the various components and properties of different programming languages. The book is rich in content, covering topics such as set theory, denotational semantics, operational semantics, axiomatic semantics, induction principles, completeness, domain theory, information systems, uncertainty and parallelism, incompleteness, and undecidability. At the same time, each chapter includes a wealth of exercises of varying difficulty. This book is suitable as a textbook for senior undergraduate and graduate students in computer science programs on formal semantics, as well as a reference for software developers.