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Canonical Fixed Points

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Part of the book series: Texts and Monographs in Computer Science ((MCS))

Abstract

The previous chapter considered a number of situations in which an object of semantic interest arises as the least fixed point of a continuous map ψ:(D, ≤)→(D, ≤) of some domain (D, ≤). So far, the domain structure is but a technical device to distinguish the least fixpoint from the other fixed points.

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Notes and References for Chapter 7

  • “The pattern-of-calls expansion is the canonical fixed point for recursive definitions,” journal of the Association for Computing Machinery,29, 1982, pp. 557–602.

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© 1986 Springer-Verlag New York Inc.

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Manes, E.G., Arbib, M.A. (1986). Canonical Fixed Points. In: Algebraic Approaches to Program Semantics. Texts and Monographs in Computer Science. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4962-7_7

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  • DOI: https://doi.org/10.1007/978-1-4612-4962-7_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-9377-4

  • Online ISBN: 978-1-4612-4962-7

  • eBook Packages: Springer Book Archive

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