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nLab > Latest Changes: XTT

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  1.  

  1. starting stub on XTT

    Anonymous

    v1, current

  2. adding another paragraph about different properties the type theory has

    Anonymous

    v1, current

  3. section 8.1.2 of the paper explicitly states that decidable type checking wasn’t proven yet for XTT

    Anonymous

    diff, v2, current

  4. adding second reference

    Anonymous

    diff, v2, current

    • CommentRowNumber5.
    • CommentAuthorjonsterling
    • CommentTimeSep 1st 2022

    Changed “strong normalization” to “normalization” as the former is a category error — nobody has proposed any rewriting system for XTT, so strong normalization is neither here nor there. If a rewriting system is proposed, then SN or its failure would be a theorem about that rewriting system, not about XTT.

    diff, v5, current

    • CommentRowNumber6.
    • CommentAuthorGuest
    • CommentTimeSep 1st 2022

    dumb question, but is it “X type theory” or just “X tee tee”?

    • CommentRowNumber7.
    • CommentAuthorMike Shulman
    • CommentTimeSep 2nd 2022

    Added a hyperlink to normal form (which is the appropriate pointer from the disambiguation page normalization), where this distinction should be (but is not currently) discussed.

    diff, v6, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeSep 2nd 2022

    I have fixed the arXiv link, from

      https://arxiv.org/abs:1904.08562

    to

      https://arxiv.org/abs/1904.08562

    here and in the author’s entries.

    Now that I have done this, I see that somebody else was catching the same problem already elsewhere. So maybe there is yet more instances left to be fixed.

    diff, v7, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeSep 2nd 2022

    re #6

    dumb question: is it “X type theory” or just “X tee tee”?

    Just to say that i don’t find this a dumb question and that at least our nLab entry would deserve to be explicit about what “XTT” is meant to mean. In particular since the evident guess seems to be wrong: It’s not meant to be read as short for “extensional type theory”. Still, “extensional” seems to be the only plausible term that the “X” could be alluding to.

    • CommentRowNumber10.
    • CommentAuthorjonsterling
    • CommentTimeSep 4th 2022

    Hi all, I did indeed name XTT as a pun on “eXtensional Type Theory” — but it is meant to be read aloud only as XTT. It doesn’t actually stand for anything.

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeSep 4th 2022

    Best to add such explanation to the beginning of the entry!

  12. extensional -> set level

    Anonymous

    diff, v10, current

    • CommentRowNumber13.
    • CommentAuthorjonsterling
    • CommentTimeMar 2nd 2023

    Clarify the name XTT

    diff, v13, current

1 to 13 of 13

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