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Communication Dans Un Congrès Année : 2023

Strong Call-by-Value and Multi Types

Résumé

This paper provides foundations for strong (that is, possibly under abstraction) call-by-value evaluation for the λ-calculus. Recently, Accattoli et al. proposed a form of call-by-value strong evaluation for the λ-calculus, the external strategy, and proved it reasonable for time. Here, we study the external strategy using a semantical tool, namely Ehrhard's call-by-value multi types, a variant of intersection types. We show that the external strategy terminates exactly when a term is typable with so-called shrinking multi types, mimicking similar results for strong call-by-name. Additionally, the external strategy is normalizing in the untyped setting, that is, it reaches the normal form whenever it exists. We also consider the call-by-extended-value approach to strong evaluation shown reasonable for time by Biernacka et al. The two approaches turn out to not be equivalent: terms may be externally divergent but terminating for call-by-extended-value.
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Dates et versions

hal-04395549 , version 1 (15-01-2024)

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  • HAL Id : hal-04395549 , version 1

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Beniamino Accattoli, Giulio Guerrieri, Maico Leberle. Strong Call-by-Value and Multi Types. ICTAC 2023 - 20th International Colloquium on Theoretical Aspects of Computing, Dec 2023, Lima, Peru. ⟨hal-04395549⟩
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