Are applicative languages inefficient?

Abstract
Side-effects are forbidden in applicative languages like Prolog [3], FP [2], pure Lisp [9], and SISAL [8]. Algorithms can often be reformulated applicatively with no loss of efficiency. It is not known whether this is always the case. Here are seven problems which have been resistant to efficient reformulation. The reader is invited to produce an efficient applicative program or lower-bound argument for any of these.

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