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Communication Dans Un Congrès Année : 2022

Reasonable Space for the λ-Calculus, Logarithmically

Résumé

Can the λ-calculus be considered a reasonable computational model? Can we use it for measuring the time 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 λ-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 λ-calculus.

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hal-03912449 , version 1 (24-12-2022)

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Beniamino Accattoli, Ugo Dal Lago, Gabriele Vanoni. Reasonable Space for the λ-Calculus, Logarithmically. LICS 2022 - 37th Annual ACM/IEEE Symposium on Logic in Computer Science, Aug 2022, Haifa, Israel. pp.1-13, ⟨10.1145/3531130.3533362⟩. ⟨hal-03912449⟩
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