Year: 2024
Type: article
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.
Institutions: Institut national de recherche en sciences et technologies du numérique, École Polytechnique, Laboratoire d'Informatique de l'École Polytechnique, PARTOUT: Automatisation et ReprésenTation: fOndation du calcUl et de la déducTion, OLAS: Fondements opérationnels, logiques et algébriques des systèmes logiciels, University of Bologna, Centre National de la Recherche Scientifique, Université Paris Cité, Institut de Recherche en Informatique Fondamentale
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4404581437