A completely unique account of enumeration
C.R. van der Rest (TU Delft - Programming Languages)
Wouter Swierstra (Universiteit Utrecht)
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Abstract
How can we enumerate the inhabitants of an algebraic datatype? This paper explores a datatype generic solution that works for all regular types and indexed families. The enumerators presented here are provably both complete and unique - they will eventually produce every value exactly once - and fair - they avoid bias when composing enumerators. Finally, these enumerators memoise previously enumerated values whenever possible, thereby avoiding repeatedly recomputing recursive results.
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