2002 | OriginalPaper | Buchkapitel
Lambda Calculi and Linear Speedups
verfasst von : David Sands, Jörgen Gustavsson, Andrew Moran
Erschienen in: The Essence of Computation
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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The equational theories at the core of most functional programming are variations on the standard lambda calculus. The best known of these is the call-by-value lambda calculus whose core is the value-beta computation rule (λχ.M) V → M[V/χ] where V is restricted to be a value rather than an arbitrary term. This paper investigates the transformational power of this core theory of functional programming. The main result is that the equational theory of the call-by-value lambda calculus cannot speed up (or slow down) programs by more than a constant factor. The corresponding result also holds for call-by-need but we show that it does not hold for call-byname: there are programs for which a single beta reduction can change the program’s asymptotic complexity.