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Computer Science > Logic in Computer Science

arXiv:2309.12515 (cs)
[Submitted on 21 Sep 2023 (v1), last revised 1 Oct 2023 (this version, v2)]

Title:A Diamond Machine For Strong Evaluation

Authors:Beniamino Accattoli, Pablo Barenbaum
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Abstract:Abstract machines for strong evaluation of the $\lambda$-calculus enter into arguments and have a set of transitions for backtracking out of an evaluated argument. We study a new abstract machine which avoids backtracking by splitting the run of the machine in smaller jobs, one for argument, and that jumps directly to the next job once one is finished.
Usually, machines are also deterministic and implement deterministic strategies. Here we weaken this aspect and consider a light form of non-determinism, namely the diamond property, for both the machine and the strategy. For the machine, this introduces a modular management of jobs, parametric in a scheduling policy. We then show how to obtain various strategies, among which leftmost-outermost evaluation.
Subjects: Logic in Computer Science (cs.LO); Programming Languages (cs.PL)
Cite as: arXiv:2309.12515 [cs.LO]
  (or arXiv:2309.12515v2 [cs.LO] for this version)
  https://doi.org/10.48550/arXiv.2309.12515

Submission history

From: Beniamino Accattoli [view email]
[v1] Thu, 21 Sep 2023 22:43:10 UTC (67 KB)
[v2] Sun, 1 Oct 2023 10:01:35 UTC (68 KB)
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