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Lub is an experiment in computing least upper information bounds on (partially defined) functional values.

It provides a
function that is consistent with the
operator but has a more liberal precondition. Where
requires its arguments to equal when neither is bottom,
is able to synthesize a value from the partial information contained in both of its arguments.

Besides this wiki page, here are more ways to find out about lub:

Please leave comments at the Talk page.

I got inspired for this package after stimulating discussions with Thomas Davie, Russell O'Connor others in the #haskell gang.