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Conference Papers Year : 2021

Factorize Factorization

Abstract

We present a new technique for proving factorization theorems for compound rewriting systems in a modular way, which is inspired by the Hindley-Rosen technique for confluence. Specifically, our technique is well adapted to deal with extensions of the call-by-name and call-by-value λ-calculi. The technique is first developed abstractly. We isolate a sufficient condition (called linear swap) for lifting factorization from components to the compound system, and which is compatible with β-reduction. We then closely analyze some common factorization schemas for the λ-calculus. Concretely, we apply our technique to diverse extensions of the λ-calculus, among which de' Liguoro and Piperno's non-deterministic λ-calculus and-for call-by-value-Carraro and Guerrieri's shuffling calculus. For both calculi the literature contains factorization theorems. In both cases, we give a new proof which is neat, simpler than the original, and strikingly shorter.
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Dates and versions

hal-03044338 , version 1 (07-12-2020)

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Beniamino Accattoli, Claudia Faggian, Giulio Guerrieri. Factorize Factorization. CSL 2021 - 29th EACSL Annual Conference on Computer Science Logic, Jan 2021, Ljubljana, Slovenia. ⟨10.4230/LIPIcs.CSL.2021.22⟩. ⟨hal-03044338⟩
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