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    • CommentRowNumber1.
    • CommentAuthorDavid_Corfield
    • CommentTimeJun 20th 2018

    At our workshop yesterday we heard Dominic Orchard speak about “Graded Modal Logic for Linear Dependent Type Theory”/ So I’ve started graded modality.

    Now any connection to Licata-Shulman-Riley?

    v1, current

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeJun 20th 2018

    It would seem so, seeing that LSR speaks about subexponentials in 3.10.

    How about the n\sharp_n of section 5.2.2 of dcct, or the n\Im_n mentioned e.g. here? Are these not modalities indexed by the natural numbers with monoid operation given by min? Similarly for truncation modalities.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJun 20th 2018

    added hyperlink to modality, added hyperlink for bounded linear logic, added plural redirect

    diff, v3, current

    • CommentRowNumber4.
    • CommentAuthorMike Shulman
    • CommentTimeJun 20th 2018

    I haven’t looked at any of the references, but almost without exception anything like this has a representation using a particular mode theory in LSR; here there would presumably be an infinite family of mode morphisms with 2-cells between them representing the rule structure.

    • CommentRowNumber5.
    • CommentAuthorDavid_Corfield
    • CommentTimeJun 26th 2018

    Added a couple of references.

    diff, v4, current

    • CommentRowNumber6.
    • CommentAuthorDavid_Corfield
    • CommentTimeDec 18th 2018

    Added some earlier philosophical references.

    diff, v6, current

  1. Added a new reference to Fuji et al.’s paper on graded monads.

    Harley Eades III

    diff, v7, current

  2. A few more references, and added links to PDFs.

    Harley Eades III

    diff, v7, current

    • CommentRowNumber9.
    • CommentAuthorDavid_Corfield
    • CommentTimeJun 25th 2021

    Added some references

    diff, v15, current

    • CommentRowNumber10.
    • CommentAuthorJ-B Vienney
    • CommentTime6 days ago
    • (edited 6 days ago)

    Added the reference

    • Flavien Breuvart, Michele Pagani, Modelling Coeffects in the Relational Semantics of Linear Logic, (pdf)

    diff, v16, current

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