Papers › Effects for Efficiency: Asymptotic Speedup with First-Class Control

Effects for Efficiency: Asymptotic Speedup with First-Class Control

1 Jul 2020arXiv:2007.00605links table onlyarchive 2025-07-28

Daniel Hillerström, Sam Lindley, John Longley

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We study the fundamental efficiency of delimited control. Specifically, we show that effect handlers enable an asymptotic improvement in runtime complexity for a certain class of functions. We consider the generic count problem using a pure PCF-like base language λ_b and its extension with effect handlers λₕ. We show that λₕ admits an asymptotically more efficient implementation of generic count than any λ_b implementation. We also show that this efficiency gap remains when λ_b is extended with mutable state. To our knowledge this result is the first of its kind for control operators.

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