Domain-Theoretic Foundations of Functional Programming
eBook - PDF

Domain-Theoretic Foundations of Functional Programming

  1. 132 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Domain-Theoretic Foundations of Functional Programming

About this book

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.

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Information

Publisher
WSPC
Year
2006
eBook ISBN
9789813106864
Topic
Computer Science
Subtopic
Computer Science General
Index
Computer Science

Table of contents

  1. Contents
  2. Preface
  3. 1. Introduction
  4. 2. PCF and its Operational Semantics
  5. 3. The Scott Model of PCF
  6. 4. Computational Adequacy
  7. 5. Milner's Context Lemma
  8. 6. The Full Abstraction Problem
  9. 7. Logical Relations
  10. 8. Some Structural Properties of the Dσ
  11. 9. Solutions of Recursive Domain Equations
  12. 10. Characterisation of Fully Abstract Models
  13. 11. Sequential Domains as a Model of PCF
  14. 12. The Model of PCF in S is Fully Abstract
  15. 13. Computability in Domains
  16. Bibliography
  17. Index

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Yes, you can access Domain-Theoretic Foundations of Functional Programming by Thomas Streicher in PDF and/or ePUB format, as well as other popular books in Computer Science & Computer Science General. We have over one million books available in our catalogue for you to explore.