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Computer Science > Logic in Computer Science
Title: Reasonable Space for the $λ$-Calculus, Logarithmically
(Submitted on 1 Mar 2022 (v1), last revised 8 May 2024 (this version, v4))
Abstract: Can the $\lambda$-calculus be considered a reasonable computational model? Can we use it for measuring the time $\textit{and}$ space consumption of algorithms? While the literature contains positive answers about time, much less is known about space. This paper presents a new reasonable space cost model for the $\lambda$-calculus, based on a variant over the Krivine abstract machine. For the first time, this cost model is able to accommodate logarithmic space. Moreover, we study the time behavior of our machine and show how to transport our results to the call-by-value $\lambda$-calculus.
Submission history
From: Gabriele Vanoni [view email][v1] Tue, 1 Mar 2022 11:20:49 GMT (125kb)
[v2] Mon, 18 Jul 2022 17:38:13 GMT (124kb)
[v3] Tue, 31 Jan 2023 17:33:19 GMT (96kb)
[v4] Wed, 8 May 2024 14:08:38 GMT (109kb)
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