Comments on: Zapping Adjunctions http://comonad.com/reader/2008/zapping-strong-adjunctions/ types, (co)monads, substructural logic Sat, 29 Dec 2012 15:18:06 -0800 http://wordpress.org/?v=2.8.4 hourly 1 By: Edward Kmett http://comonad.com/reader/2008/zapping-strong-adjunctions/comment-page-1/#comment-1719 Edward Kmett Thu, 19 Jun 2008 06:10:37 +0000 http://comonad.com/reader/2008/zapping-strong-adjunctions/#comment-1719 Good catch. I added Control.Comonad.Exponent in response to a comment over on Dan Piponi's blog and forgot that I had those in progress at the time. Fixed and uploading to hackage as I write this. I may drop Dyad though, since it doesn't add much value. As near as I can tell there are no interesting dyads in Haskell that aren't just monads or comonads, and they force a profusion of typeclasses to define that lack other uses. This may also explain why there has been no followup to Fokkinga's paper on them in the last 14 years. The distributive law is required to be a natural isomorphism, which seems to be too strong to be practical. Good catch.

I added Control.Comonad.Exponent in response to a comment over on Dan Piponi’s blog and forgot that I had those in progress at the time.

Fixed and uploading to hackage as I write this.

I may drop Dyad though, since it doesn’t add much value. As near as I can tell there are no interesting dyads in Haskell that aren’t just monads or comonads, and they force a profusion of typeclasses to define that lack other uses. This may also explain why there has been no followup to Fokkinga’s paper on them in the last 14 years. The distributive law is required to be a natural isomorphism, which seems to be too strong to be practical.

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By: sr http://comonad.com/reader/2008/zapping-strong-adjunctions/comment-page-1/#comment-1718 sr Thu, 19 Jun 2008 04:42:53 +0000 http://comonad.com/reader/2008/zapping-strong-adjunctions/#comment-1718 Off-topic, but it looks like Allegory.hs and Dyad.hs have not been added to darcs in category-extras? Off-topic, but it looks like Allegory.hs and Dyad.hs have not been added to darcs in category-extras?

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