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Games and Full Abstraction for a Functional Metalanguage with Recursive Types (Paperback, Softcover reprint of the original 1st ed. 1998)
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Games and Full Abstraction for a Functional Metalanguage with Recursive Types (Paperback, Softcover reprint of the original 1st ed. 1998)
Series: Distinguished Dissertations
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This book is a minor revision of the thesis submitted in August
1996; no major changes have been made. However, I would like to
take this opportunity to mention that since the thesis was written,
discoveries have been made which would allow a substantial
simplification and strengthening of the results in Chapters 3 and
6. In particular, it is now possible to model sums correctly in the
category I as well as in GBP, which means that the definability
results of Chapter 6 can be stated and proved at the intensional
level, making them simpler and much closer in spirit to the
original proofs of Abramsky, Jagadeesan, Malacaria, Hyland, Ong and
Nickau [10,61,79]. This also leads quite straightforwardly to an
understanding of call-by-value languages. Details of these
improvements can be found in [14,73]. It is also worth mentioning
that progress has been made on some of the topics suggested for
future research in Chapter 7. In particular, fully abstract models
have been found for various kinds of languages with local variables
[8,13-16], and a fully complete games model of the polymorphic
language System F has been constructed by Hughes [59]. Guy McCusker
February 1998 Acknowledgements First of all, I must thank my
supervisor, Samson Abramsky. It was he who first introduced me to
game semantics and suggested avenues of research in the area; this
book would certainly not exist were it not for him.
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