DOMAIN-THEORETIC FOUNDATIONS OF FUNCTIONAL PROGRAMMING
Language: English
Published by World Scientific Publishing Company, 2006
- Hardcover
- New

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- Title
- DOMAIN-THEORETIC FOUNDATIONS OF FUNCTIONAL PROGRAMMING
- Author
- Streicher Thomas
- Publisher
- World Scientific Publishing Company
- Publication year
- 2006
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 9812701427
- ISBN 13
- 9789812701428
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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