Lambda Calculus with Types

ISBN-13: 9780521766142 / Angielski / Twarda / 2013 / 856 str.

Henk Barendregt

Opis

This handbook with exercises reveals the mathematical beauty of formalisms hitherto mostly used for software and hardware design and verification.

Recenzje

'The authors have produced a well-written, organised and comprehensive account of three important type systems. These systems' properties have been rich sources of interest to logicians for many years; their problems are not all solved, and in future work this book will almost certainly become a standard reference about them. It will also allow the more mathematically inclined computer scientist to obtain a deeper understanding of the principles behind some of the higher order languages in current use.' Bulletin of the London Mathematical Society

Spis treści

List of contributors; Preface; Introduction; Part I. Simple Types: 1. The simply typed lambda calculus; 2. Properties; 3. Tools; 4. Definability, unification and matching; 5. Extensions; 6. Applications; Part II. Recursive Types: 7. The systems; 8. Properties of recursive types; 9. Properties of terms with types; 10. Models; 11. Applications; Part III. Intersection Types: 12. An exemplary system; 13. Type assignment systems; 14. Basic properties; 15. Type and lambda structures; 16. Filter models; 17. Advanced properties and applications; Bibliography; Symbol index; Names index; Definitions index.