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nLab > Latest Changes: Kleene's fixed point theorem

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 13th 2022
    • (edited Nov 13th 2022)

    a stub entry, for the moment just to make a link work at regular language

    v1, current

    • CommentRowNumber2.
    • CommentAuthormaxsnew
    • CommentTimeNov 13th 2022

    Some basic info, note the link to Adamek

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeNov 13th 2022

    Thanks! Have hyperlinked more of the technical terms.

    diff, v3, current

    • CommentRowNumber4.
    • CommentAuthorRodMcGuire
    • CommentTimeNov 13th 2022

    Named after Stephen Kleene.

    after a little searching around I’ve been unable to find who came up with this theorem (did it emerge as common knowledge?) and who named it or when.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeNov 14th 2022
    • (edited Nov 14th 2022)

    According to G. Kavvos in “Kleene’s Two Kinds of Recursion” [arXiv:1602.06220]:

    The least fixed point construction is the basis of Kleene’s First Recursion Theorem (FRT) [Kleene1952]

1 to 5 of 5

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