Supercombinator

Supercombinator

A supercombinator is a mathematical expression which is fully-bound and self-contained. It may either be a constant or a combinator where all the subexpressions are supercombinators.

In mathematical terms, a lambda expression "S" is a supercombinator of arity "n" if it has no free variables and is of the form λx1.λx2...λxn."E" (with "n" ≥ 0, so that lambdas are not required) such that "E" itself is not a lambda abstraction and any lambda abstraction in "E" is again a supercombinator.

References

*S. L. Peyton Jones, "The Implementation of Functional Programming Languages". Prentice Hall, 1987.


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