Domain-theoretic Foundations Of Functional Programming
Author | : Thomas Streicher |
Publisher | : World Scientific Publishing Company |
Total Pages | : 132 |
Release | : 2006-12-04 |
ISBN-10 | : 9789813106864 |
ISBN-13 | : 9813106867 |
Rating | : 4/5 (64 Downloads) |
Download or read book Domain-theoretic Foundations Of Functional Programming written by Thomas Streicher and published by World Scientific Publishing Company. This book was released on 2006-12-04 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a basis for a PhD course on domain-theoretic semantics of functional programming languages and their meta-mathematical properties. It introduces basic domain theory and the technique of logical relations as developed by Scott and Plotkin. The solution of recursive domain equations is explained in detail.A complete discussion of the famous full abstraction problem for PCF (a functional Kernel language due to Scott and Plotkin) is given including a construction of the fully abstract Milner model using Kripke logical relations.A final chapter introduces computability in Scott domains and shows that this model is fully abstract and universal for appropriate extensions of PCF by parallel language constructs.