ENGLISH

Domain-theoretic Foundations of Functional Programming

By Thomas Streicher

Book information

Publisher
World Scientific Publishing Company
Year
2006
ISBN
9789812701428, 9812701427, 9789812772596, 9812772596
Open Library ID
OL9198030M
Language
english
Format
PDF
Filesize
2 MB (1737752 bytes)
Pages
120\132
Scanned
yes
Time added
2012-03-17 06:00:00

Description

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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