Work

Positive Focusing is Directly Useful

Year: 2024
Type: article
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. Comment: Paper for the proceedings of MFPS 2024
Language: English
Open Access status: hybrid
OpenAlex ID: W4405287537
FWCI: 0.296
Cites: 40
Cited by: 2
Related to: 10