We show a type-based method for useless variable elimination, i.e., transformation that eliminates variables whose values contribute nothing to the final outcome of a computation, and prove its correctness. The algorithm is a surprisingly simple extension of the usual type reconstruction algorithm. Our method seems more attractive than Wand and Siveroni's 0CFA-based method in many respects. First, it is efficient: it runs in time almost linear in the size of an input expression for a simply-typed -calculus, while the 0CFA-based method may require a cubic time. Second, our transformation can be shown to be optimal among those that preserve well-typedness, both for the simply-typed language and for an ML-style polymorphically-typed language. On the other hand, the 0CFA-based method is not optimal for the polymophically-typed language. ANY OTHER IDENTIFYING INFORMATION OF THIS REPORT Summary has been submitted for publication. Up-to-date version of this report will be available through ...

Useless-variable elimination is a transformation that eliminates variables whose values contribute nothing to the final outcome of a computation. We present a type-based method for useless-variable elimination and prove its correctness. The algorithm is a surprisingly simple extension of the usual type-reconstruction algorithm. Our method has several attractive features. First, it is simple, so that the proof of the correctness is clear and the method can be easily extended to deal with a polymorphic language. Second, it is efficient: for a simply-typed -calculus, it runs in time almost linear in the size of an input expression. Moreover, our transformation is optimal in a certain sense among those that preserve well-typedness, both for the simply-typed language and for an ML-style polymorphically-typed language.