Decompositions of graphs of functions and efficient iterations of lookup tables

Computer Science – Computational Complexity

Scientific paper

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Scientific paper

10.1016/j.dam.2006.06.006

We show that every function f implemented as a lookup table can be
implemented such that the computational complexity of evaluating f^m(x) is
small, independently of m and x. The implementation only increases the storage
space by a small_constant_ factor.

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