English

A linear proof language for second-order intuitionistic linear logic

Logic in Computer Science 2024-06-19 v2 Logic

Abstract

We present a polymorphic linear lambda-calculus as a proof language for second-order intuitionistic linear logic. The calculus includes addition and scalar multiplication, enabling the proof of a linearity result at the syntactic level.

Keywords

Cite

@article{arxiv.2310.08517,
  title  = {A linear proof language for second-order intuitionistic linear logic},
  author = {Alejandro Díaz-Caro and Gilles Dowek and Malena Ivnisky and Octavio Malherbe},
  journal= {arXiv preprint arXiv:2310.08517},
  year   = {2024}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2201.11221

R2 v1 2026-06-28T12:48:59.513Z