On reduction and normalization in the computational core

Claudia Faggian; Giulio Guerrieri; Ugo de'Liguoro; Riccardo Treglia

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arXiv · 2104.10267

On reduction and normalization in the computational core

Claudia Faggian·Giulio Guerrieri·Ugo de'Liguoro·Riccardo Treglia

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Abstract

We study the reduction in a lambda-calculus derived from Moggi's computational one, that we call the computational core. The reduction relation consists of rules obtained by orienting three monadic laws. Such laws, in particular associativity and identity, introduce intricacies in the operational analysis. We investigate the central notions of returning a value versus having a normal form, and address the question of normalizing strategies. Our analysis relies on factorization results.

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Claudia Faggian, Giulio Guerrieri, Ugo de'Liguoro, Riccardo Treglia. 2021-04-20. On reduction and normalization in the computational core. https://arxiv.org/abs/2104.10267

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