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On the non-sequential nature of the interval-domain model of real-number computation

Authors: Martín Hötzel Escardó; Martin Hofmann 0001; Thomas Streicher;

On the non-sequential nature of the interval-domain model of real-number computation

Abstract

We show that real-number computations in the interval-domain environment are ‘inherently parallel’ in a precise mathematical sense. We do this by reducing computations of the weak parallel-or operation on the Sierpinski domain to computations of the addition operation on the interval domain.

Keywords

parallelism, interval-domain environment, Higher-type and set recursion theory, Continuous lattices and posets, applications, real-number computations, Semantics in the theory of computing, functional programming, Models of computation (Turing machines, etc.), Functional programming and lambda calculus, ddc: ddc:

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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Average
Top 10%
Top 10%
Green
bronze