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    • CommentRowNumber1.
    • CommentAuthorJames Francese
    • CommentTimeNov 2nd 2019

    I have created a page for Turing categories linked to the already-existing page on restriction categories, with some sections for near-future expansion. First I will add some references, since there is by now a small industry devoted to this framework for categorical recursion theory, and it forms the basis of a lot of other ongoing work, for example in differential categories and higher realizability models.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorJames Francese
    • CommentTimeNov 2nd 2019
    • (edited Nov 4th 2019)

    v1, current

    • CommentRowNumber3.
    • CommentAuthorJames Francese
    • CommentTimeNov 2nd 2019
    • (edited Nov 4th 2019)

    v1, current

    • CommentRowNumber4.
    • CommentAuthorJames Francese
    • CommentTimeNov 2nd 2019
    • (edited Nov 4th 2019)

    v1, current

    • CommentRowNumber5.
    • CommentAuthorJames Francese
    • CommentTimeNov 2nd 2019
    • (edited Nov 4th 2019)

    v1, current

    • CommentRowNumber6.
    • CommentAuthorJames Francese
    • CommentTimeNov 2nd 2019

    Sorry for the repeated posts of the original edit comment, as I fixed rendering errors in edit mode it must have triggered an nForum post each time. My apologies, if anyone wants to remove them that’s obviously fine.

    • CommentRowNumber7.
    • CommentAuthorCorbin
    • CommentTimeNov 2nd 2021

    Add a link to timed set and a reference for the main definition. Also indicate that “PCA” is an abbreviation for “partial combinatory algebra”.

    diff, v4, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeNov 3rd 2021

    The definition in the entry invokes but never defines the notion of “cartesian restriction category”. For the time being I made it a redirect to restriction category.

    Also the use of “total map” remains somewhat ambiguous.

    Where the entry said “satisfies the diagram” I made it read “makes the following diagram commute”.

    Finally, I fixed the capitalization in the entry title

    diff, v5, current

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