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Atrium > Preprints & Publications: new books on coinduction

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    • CommentRowNumber1.
    • CommentAuthorMike Shulman
    • CommentTimeJan 18th 2012

    These look interesting for anyone interested in coinduction:

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJan 19th 2012
    • (edited Jan 19th 2012)

    now also at Coinduction - References.

    That entry would deserve to have something in its Examples-section.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJan 19th 2012

    I have also added

    • Bart Jacobs, Jan Rutten, A tutorial on (Co)Algebras and (Co)Induction (pdf)
    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 19th 2012

    Why does it say at coinduction?

    It generalises to corecursion.

    I thought corecursion concerns the existence of a morphism to the terminal coalgebra, and coinduction concerns the non-existenced of a proper quotient of the terminal coalgebra. We really need a proper discussion of bisimulation.

    Anyway, I pointed to an example of coinduction.

    • CommentRowNumber5.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 19th 2012

    There’s a handy discussion at Piponi’s blog as to why induction and coinduction seem so different. I guess it’s because if they take place in a concrete category. one is using no proper subalgebra of the initial algebra, so no proper subset of a certain kind, while the other is using no proper quotient of the terminal algebra, so no equivalence relation of a certain kind.

1 to 5 of 5

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