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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJul 12th 2021

    a stub, for the moment just so as to make links work at differential category

    v1, current

    • CommentRowNumber2.
    • CommentAuthorJ-B Vienney
    • CommentTimeJul 26th 2022

    I start thinking to this page. Just a few words and section titles that I’m going to complete.

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorJ-B Vienney
    • CommentTimeJul 26th 2022

    What are the formulas used in DiLL.

    diff, v3, current

    • CommentRowNumber4.
    • CommentAuthorJ-B Vienney
    • CommentTimeJul 26th 2022

    More explanations

    diff, v3, current

    • CommentRowNumber5.
    • CommentAuthorJ-B Vienney
    • CommentTimeJul 26th 2022

    I’ve started categorical semantics.

    diff, v4, current

    • CommentRowNumber6.
    • CommentAuthorJ-B Vienney
    • CommentTimeAug 8th 2022
    • (edited Aug 8th 2022)

    Page under construction. I’ve just added how to differentiate a proof but I haven’t written what comes before.

    diff, v5, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeAug 8th 2022

    Currently the entry says:

    The intuitive understanding of linear logic is difficult to extend to differential linear logic.

    Is that so? Isn’t the intended semantics in differential categories the intuition – in fact the motivation – behind differential linear logic?

    (Maybe it feels like this is a “semantical” and not a “logical” intuition – but to trilogicians, there is no such distinction. ;-)

    • CommentRowNumber8.
    • CommentAuthorJ-B Vienney
    • CommentTimeAug 8th 2022
    • (edited Aug 8th 2022)

    Yes, you’re right! This is fine for a trilogician. But it’s difficult to make concrete reasoning in differential linear logic, like the “Menu de Lafont” which explains linear logic in terms of the process of eating in a restaurant! You really need to become a trilogician when you go from linear logic to differential linear logic.

    I’m going to add your remark.

    • CommentRowNumber9.
    • CommentAuthorJ-B Vienney
    • CommentTimeAug 8th 2022

    Worked on the page.

    Including some improvment of the idea section.

    diff, v6, current

    • CommentRowNumber10.
    • CommentAuthorJ-B Vienney
    • CommentTimeAug 8th 2022

    Written all the inference rules…

    diff, v6, current

    • CommentRowNumber11.
    • CommentAuthorJ-B Vienney
    • CommentTimeAug 8th 2022

    Added an explanation of the meaning of the cut-elimination and the relation with commuting diagrams in categorical semantics.

    diff, v6, current

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