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.
Reasonable Space for the Lambda-Calculus, Logarithmically / Beniamino Accattoli; Ugo Dal Lago; Gabriele Vanoni. - ELETTRONICO. - (2022), pp. 47.1-47.13. (Intervento presentato al convegno LICS '22: 37th Annual ACM/IEEE Symposium on Logic in Computer Science. tenutosi a Haifa, Israel. nel August 2 - 5, 2022.) [10.1145/3531130.3533362].
Reasonable Space for the Lambda-Calculus, Logarithmically
Ugo Dal Lago
;Gabriele Vanoni
2022
Abstract
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.| File | Dimensione | Formato | |
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