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Models of Sharing Graphs

A Categorical Semantics of let and letrec

  • Book
  • © 1999

Overview

Authors:
  1. Masahito Hasegawa

    1. Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan

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Part of the book series: Distinguished Dissertations (DISTDISS)

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-XII
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  2. Introduction

    • Masahito Hasegawa
    Pages 1-17

  3. Sharing Graphs and Equational Presentation

    • Masahito Hasegawa
    Pages 19-38

  4. Models of Acyclic Sharing Theory

    • Masahito Hasegawa
    Pages 39-56

  5. Higher-Order Extension

    • Masahito Hasegawa
    Pages 57-63

  6. Relating Models

    • Masahito Hasegawa
    Pages 65-70

  7. Models of Cyclic Sharing Theory

    • Masahito Hasegawa
    Pages 71-81

  8. Recursion from Cyclic Sharing

    • Masahito Hasegawa
    Pages 83-101

  9. Action Calculi

    • Masahito Hasegawa
    Pages 103-113

  10. Conclusion

    • Masahito Hasegawa
    Pages 115-116

  11. Back Matter

    Pages 117-134
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Keywords

About this book

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 developed using this framework.

Authors and Affiliations

  • Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan

    Masahito Hasegawa

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