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A new fixed point theorem in domain theory

  • 26-02-2018
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Abstract

We generalize the standard fixed point theorem in domain theory: a dcpo has the fixed point property iff the image of its least deflation has the fixed point property, provided that the least deflation exists. We then turn to the existence of least deflations, showing that they exist in a number of important cases, including the case of compact domains.

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Title
A new fixed point theorem in domain theory
Authors
Keye Martin
Johnny Feng
Publication date
26-02-2018
Publisher
Springer Netherlands
Published in
Natural Computing / Issue 4/2019
Print ISSN: 1567-7818
Electronic ISSN: 1572-9796
DOI
https://doi.org/10.1007/s11047-018-9672-3
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