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In mathematics, a semigroup is an algebraic structure consisting of
a set together with an associative binary operation. A semigroup
generalizes a monoid in that there might not exist an identity
element. It also (originally) generalized a group (a monoid with all
inverses) to a type where every element did not have to have an
inverse, thus the name semigroup.

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the ghc package database:   ghc-pkg recache