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arXiv · 2101.08364

Factorization in Call-by-Name and Call-by-Value Calculi via Linear Logic (long version)

Claudia Faggian·Giulio Guerrieri
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Abstract

In each variant of the lambda-calculus, factorization and normalization are two key-properties that show how results are computed. Instead of proving factorization/normalization for the call-by-name (CbN) and call-by-value (CbV) variants separately, we prove them only once, for the bang calculus (an extension of the lambda-calculus inspired by linear logic and subsuming CbN and CbV), and then we transfer the result via translations, obtaining factorization/normalization for CbN and CbV. The approach is robust: it still holds when extending the calculi with operators and extra rules to model some additional computational features.

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Claudia Faggian, Giulio Guerrieri. 2021-01-20. Factorization in Call-by-Name and Call-by-Value Calculi via Linear Logic (long version). https://arxiv.org/abs/2101.08364

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