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arXiv · 2411.09489

Positive Focusing is Directly Useful

Beniamino Accattoli·Jui-Hsuan Wu
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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.

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Beniamino Accattoli, Jui-Hsuan Wu. 2024-11-14. Positive Focusing is Directly Useful. https://doi.org/10.46298/entics.14758

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