Proof Nets for PiL (Full Version)

Fuente: arXiv
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Autores principales: Acclavio, Matteo, Manara, Giulia
Formato: Preprint
Publicado: 2026
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author Acclavio, Matteo
Manara, Giulia
author_facet Acclavio, Matteo
Manara, Giulia
contents We introduce proof nets for PiL, an extension of first-order multiplicative additive linear logic with new operators allowing a shallow encoding of processes in the π-calculus as formulas. We provide correctness criterion, sequentialization procedure, and a proof translation algorithm. We show that proof nets provide a canonical representation of sequent calculus derivations modulo rule permutations.
format Preprint
id arxiv_https___arxiv_org_abs_2605_14476
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Proof Nets for PiL (Full Version)
Acclavio, Matteo
Manara, Giulia
Logic in Computer Science
We introduce proof nets for PiL, an extension of first-order multiplicative additive linear logic with new operators allowing a shallow encoding of processes in the π-calculus as formulas. We provide correctness criterion, sequentialization procedure, and a proof translation algorithm. We show that proof nets provide a canonical representation of sequent calculus derivations modulo rule permutations.
title Proof Nets for PiL (Full Version)
topic Logic in Computer Science
url https://arxiv.org/abs/2605.14476