Computer Science > Logic in Computer Science
[Submitted on 14 Nov 2024 (v1), last revised 7 Dec 2024 (this version, v2)]
Title:Positive Focusing is Directly Useful
View PDF HTML (experimental)Abstract:Recently, Miller and Wu introduced the positive $\lambda$-calculus, a call-by-value $\lambda$-calculus with sharing obtained by assigning proof terms to the positively polarized focused proofs for minimal intuitionistic logic. The positive $\lambda$-calculus stands out among $\lambda$-calculi with sharing for a compactness property related to the sharing of variables. We show that -- thanks to compactness -- the positive calculus neatly captures the core of useful sharing, a technique for the study of reasonable time cost models.
Submission history
From: Michael Mislove [view email][v1] Thu, 14 Nov 2024 14:51:43 UTC (81 KB)
[v2] Sat, 7 Dec 2024 20:41:31 UTC (82 KB)
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