Domain-theoretic Foundations of Functional Programming



Domain-theoretic Foundations of Functional Programming
World Scientific Publishing Company | 2006-12-04 | ISBN: 9812701427 | 120 pages | File type: PDF | 1 mb
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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