A Deep Inference System for Differential Linear Logic

Matteo Acclavio; Giulio Guerrieri

doi:10.4204/eptcs.353.2

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arXiv · 2112.14963

A Deep Inference System for Differential Linear Logic

Matteo Acclavio·Giulio Guerrieri

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Abstract

Differential linear logic (DiLL) provides a fine analysis of resource consumption in cut-elimination. We investigate the subsystem of DiLL without promotion in a deep inference formalism, where cuts are at an atomic level. In our system every provable formula admits a derivation in normal form, via a normalization procedure that commutes with the translation from sequent calculus to deep inference.

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Matteo Acclavio, Giulio Guerrieri. 2021-12-30. A Deep Inference System for Differential Linear Logic. https://doi.org/10.4204/eptcs.353.2

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