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Proof Nets for PiL (Full Version)

计算机科学中的逻辑 2026-05-15 v1

摘要

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 {\pi}-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.

关键词

引用

@article{arxiv.2605.14476,
  title  = {Proof Nets for PiL (Full Version)},
  author = {Matteo Acclavio and Giulia Manara},
  journal= {arXiv preprint arXiv:2605.14476},
  year   = {2026}
}