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    • CommentRowNumber1.
    • CommentAuthorMike Shulman
    • CommentTimeDec 6th 2018

    Add references relating to rewriting.

    diff, v2, current

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeDec 7th 2018

    When should we say ’type 2-theory’ rather than ’2-type theory’?

    • CommentRowNumber3.
    • CommentAuthorMike Shulman
    • CommentTimeDec 7th 2018

    My own inclination is to always say the former and never the latter. I really want to say “2-(type theory)” but that’s hard to pronounce correctly, while to my ear “2-type theory” sounds like “(2-type) theory” whereas “type 2-theory” is easier to understand as meaning “2-(type theory)”. But I didn’t want to rename the page unilaterally; any other opinions?

    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeDec 8th 2018

    Matches ’Klein 2-geometry’ where it all began for me, so I’m in.

    • CommentRowNumber5.
    • CommentAuthorSam Staton
    • CommentTimeDec 9th 2018

    One potential source of confusion for “type 2-theory” is “type-2 theory”, e.g. Type two theory of effectivity, Type II string theory!

    • CommentRowNumber6.
    • CommentAuthorMike Shulman
    • CommentTimeDec 9th 2018

    I don’t personally hear any danger of “type-2 theory”; when I say it the space is much longer than the hyphen.

    • CommentRowNumber7.
    • CommentAuthorvarkor
    • CommentTimeOct 20th 2021

    Add reference to Saville’s PhD thesis “Cartesian closed bicategories: type theory and coherence”.

    diff, v4, current

    • CommentRowNumber8.
    • CommentAuthorvarkor
    • CommentTimeOct 20th 2021

    Added reference to Garner’s “Two-dimensional models of type theory”.

    diff, v4, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeOct 21st 2021
    • (edited Oct 21st 2021)

    Thanks.

    I have added DOI-link and author link to Garner 09 and put the article into chronological order (hence: on top of the list).

    NB: adding author link just amounts to enclosing the name in double square brackets, the rest is handled by the software.

    In situations such as here I’d urge to hyperlink the author name, because otherwise it looks like people who came 7 years after the fact took care to hyperlink their own names while not bothering to do the same favor to the original author.

    diff, v5, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeOct 21st 2021

    Also tried to organize the list of references into “General” and “Application to adjoint/modal logic”. But please check and adjust if necessary.

    diff, v5, current

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