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As an aside on an aside, there is also the related classic:

Conor McBride, The Derivative of a Regular Type is its Type of One-Hole Contexts

http://strictlypositive.org/diff.pdf

related to Huet's Zipper and Hinze, Paterson Finger Trees, with a huge of follow-on literature:

https://personal.cis.strath.ac.uk/conor.mcbride/Holes.pdf

https://conal.net/blog/posts/differentiation-of-higher-order...

and numerous old posts by sigfpe (Dan Piponi), e.g.

http://blog.sigfpe.com/2008/06/blessed-mans-formula-for-hole...



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