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Book (June 1999)
Models of Sharing Graphs: A Categorical Semantics of let and
letrec
Masahito Hasegawa, Kyoto University, Japan
xii+134 pages, 234 x 156mm hardcover; ISBN 1-85233-145-3,
Distinguished Dissertation Series,
Springer-Verlag (1999)
UK£40.00 / DM119 / US$89.95 (Recommended Retail Price)
(May 2000) Springer-Verlag informs the author that
this book is out of print and will not be reprinted.
This is a revised version of my
PhD thesis (Univ. Edinburgh, 1997).
The dissertations are selected on behalf of the CPHC by a panel of
eight academics. Each dissertation chosen makes a noteworthy
contribution to the subject and reaches a high standard of exposition,
placing all results clearly in the context of computer science as a
whole. In this way computer scientists with significantly different
interests are able to grasp the essentials - or even find a means of
entry - to an unfamiliar research topic.
Models of Sharing Graphs presents a sound mathematical basis
for reasoning about models of computation involving shared resources,
including graph rewriting systems, denotational semantics and
concurrency theory.
An algebraic approach, based on the language of category theory, is
taken throughout this work, which enables the author to describe
several aspects of the notion of sharing in a systematic way. In
particular, a novel account of recursive computation created from
cyclic sharing is developped using this framework.
Masahito Hasegawa <hassei@kurims.kyoto-u.ac.jp>
Research Institute for Mathematical Sciences, Kyoto University
Kyoto 606-8502 Japan
Tel: +81-75-753-7243 / Fax: +81-75-753-7272