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Models of Sharing Graphs

A Categorical Semantics of Let and Letrec

Masahito Hasegawa (Autor)

Buch | Hardcover

134 Seiten

1999
Springer London Ltd (Verlag)
978-1-85233-145-0 (ISBN)

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A sound mathematical basis for reasoning about models of computation involving shared resources. An algebraic approach enables the author to describe several aspects of the notion of sharing in a systematic way, most notably an account of recursive computation created from cyclic sharing.

This work 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, an account of recursive computation created from cyclic sharing is developed using this framework.

Introduction.- Sharing Graphs and Equational Presentation.- Models of Acyclic Sharing Theroy.- Higher Order Extension.- Relating Models.- Models of Cyclic Sharing Theory.- Recursion from Cyclic Sharing.- Action Calculi.- Conclusion.- Proofs.- Bibliography.- Index.

Reihe/Serie	Distinguished Dissertations
Zusatzinfo	bibliography, index
Verlagsort	England
Sprache	englisch
Einbandart	gebunden
Themenwelt	Mathematik / Informatik ► Informatik ► Programmiersprachen / -werkzeuge
	Informatik ► Theorie / Studium ► Algorithmen
	Informatik ► Theorie / Studium ► Compilerbau
	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Graphentheorie
ISBN-10	1-85233-145-3 / 1852331453
ISBN-13	978-1-85233-145-0 / 9781852331450
Zustand	Neuware