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    • CommentRowNumber1.
    • CommentAuthorMike Shulman
    • CommentTimeJul 10th 2019

    I’m not sure that the definition on this page is correct. Despite how wrong it seems to a category theorist, I think the adjective “complete” in “cpo” usually refers only to a countable sort of completeness. According to wikipedia, a “cpo” can mean at least three different things dependent on context, but “never” a partial order that’s actually complete as a category (i.e. a complete lattice).

    diff, v3, current

    • CommentRowNumber2.
    • CommentAuthorAli Caglayan
    • CommentTimeJul 11th 2019

    I’ve never heard of cpos, but only ω\omega-cpos which are used to model recursion in simply typed lambda calculus.

    • CommentRowNumber3.
    • CommentAuthorSam Staton
    • CommentTimeJul 11th 2019

    I think people use “cpo” to mean either “ω\omega-cpo” or “dcpo”. I don’t think I’ve ever seen it used to mean complete lattice. The weird thing is that “cpo” doesn’t seem to appear in the given reference, the AHS book.

    • CommentRowNumber4.
    • CommentAuthorMike Shulman
    • CommentTimeJul 11th 2019

    Changed to say that cpos are either dcpos or ω\omega-cpos.

    diff, v4, current

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