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nLab > Latest Changes: product type

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  1.  
    • CommentRowNumber1.
    • CommentAuthorMike Shulman
    • CommentTimeMar 24th 2012

    I have added details to product type on both positive and negative definitions, with the corresponding beta and eta reduction rules.

    • CommentRowNumber2.
    • CommentAuthorMike Shulman
    • CommentTimeMar 24th 2012

    Also stubs at positive type and negative type.

    • CommentRowNumber3.
    • CommentAuthorMike Shulman
    • CommentTimeMar 24th 2012

    And a bit of similar detail at sum type.

    • CommentRowNumber4.
    • CommentAuthorTobyBartels
    • CommentTimeMar 25th 2012

    Nice! I’ve been thinking about denotational semantics lately, where the distinction between positive and negative types corresponds to eager vs lazy evaluation, so I put in some notes about that, but so far they link to nothing.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMar 26th 2012

    I was wondering about that a while back and checking now with Google… yes, the first hit for “negative type” is Type O Negative :-)

  6. Added definition of product type as a non-dependent dependent sum type.

    Anonymous

    diff, v12, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeDec 30th 2022

    replaced the old product natural deduction - table with a better typeset version (here)

    diff, v20, current

1 to 7 of 7

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