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nLab > Latest Changes: distributed computing

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    • CommentRowNumber1.
    • CommentAuthorzskoda
    • CommentTimeMar 10th 2019

    Page created, but author did not leave any comments.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeJun 14th 2019

    Added few more links.

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeFeb 17th 2023

    discovering that this entry exists, I gave it some structure and cross-linking. But it remains a stub.

    diff, v3, current

    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeFeb 17th 2023

    There’s also a stub at parallel computing. Here’s an account of the difference. I wonder if there’s anything nPOV-ish to say.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeFeb 17th 2023

    ah right, so let’s add these cross-links, too

    diff, v4, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeFeb 17th 2023
    • (edited Feb 17th 2023)

    I wonder if there’s anything nPOV-ish to say.

    With computation understood as path lifting (here) parallel computing should correspond to the case that the base type over which we lift is itself further fibered, so that a single path (= instruction path = program) is itself the (dependent-)pairing of several other paths in spaces of subsets of the parameters.

    • CommentRowNumber7.
    • CommentAuthorDavid_Corfield
    • CommentTimeFeb 17th 2023

    That’s interesting. We’ve spoken before about when (what we now call) a type telescope doesn’t use the full range of dependencies, for instance, back here. There’s Mike’s concept of “context shape” in #27 there.

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeFeb 17th 2023

    a type telescope doesn’t use the full range of dependencies

    Not sure if that’s the right way to put it.(?) Subject to there being a linear ordering on the context extensions, type telescopes reflect the most general possible dependencies.

    (The discussion you link to indeed starts with considering a type telescope and then considers specializing it to situations where some types up in the telescope do not explicitly depend on some of the previous stages.)

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