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cs.LO2025

Useful Evaluation: Syntax and Semantics (Technical Report)

Pablo Barenbaum, Delia Kesner, Mariana Milicich

This work provides the first inductive definition of useful CBV evaluation. For that, we first restrict the substitution operation in the Value Substitution Calculus to be linear,…

cs.LO2024

A Faithful and Quantitative Notion of Distant Reduction for the Lambda-Calculus with Generalized Applications

José Espírito Santo, Delia Kesner, Loïc Peyrot

We introduce a call-by-name lambda-calculus with generalized applications which is equipped with distant reduction. This allows to unblock -redexes without resorting to…

cs.LO2024

Hybrid Intersection Types for PCF (Extended Version)

Pablo Barenbaum, Delia Kesner, Mariana Milicich

Intersection type systems have been independently applied to different evaluation strategies, such as call-by-name (CBN) and call-by-value (CBV). These type systems have been then…

cs.LO2024

The Benefits of Diligence

Victor Arrial, Giulio Guerrieri, Delia Kesner

This paper studies the strength of embedding Call-by-Name ({\tt dCBN}) and Call-by-Value ({\tt dCBV}) into a unifying framework called the Bang Calculus ({\tt dBANG}). These embedd…

cs.LO2024

A Strong Bisimulation for a Classical Term Calculus

Eduardo Bonelli, Delia Kesner, Andrés Viso

When translating a term calculus into a graphical formalism many inessential details are abstracted away. In the case of -calculus translated to proof-nets, these inessential d…

cs.LO2024

Meaningfulness and Genericity in a Subsuming Framework

Delia Kesner, Victor Arrial, Giulio Guerrieri

This paper studies the notion of meaningfulness for a unifying framework called dBang-calculus, which subsumes both call-by-name (dCbN) and call-by-value (dCbV). We first character…