English

On the complexity of normalization for the planar $\lambda$-calculus

Logic in Computer Science 2024-04-09 v1

Abstract

We sketch a tentative proof of P-completeness for the β\beta-convertibility problem on untyped planar (a.k.a. ordered or non-commutative) λ\lambda-terms.

Keywords

Cite

@article{arxiv.2404.05276,
  title  = {On the complexity of normalization for the planar $\lambda$-calculus},
  author = {Anupam Das and Damiano Mazza and Lê Thành Dũng Nguyên and Noam Zeilberger},
  journal= {arXiv preprint arXiv:2404.05276},
  year   = {2024}
}

Comments

Abstract for the Trends in Linear Logic and Applications 2023 workshop, meant to be expanded into a proper paper in the future

R2 v1 2026-06-28T15:47:09.884Z