English

The undecidability of joint embedding for 3-dimensional permutation classes

Logic 2023-06-22 v4 Combinatorics

Abstract

As a step towards resolving a question of Ru\v{s}kuc on the decidability of joint embedding for hereditary classes of permutations, which may be viewed as structures in a language of 2 linear orders, we show the corresponding problem is undecidable for hereditary classes of structures in a language of 3 linear orders.

Cite

@article{arxiv.2002.11494,
  title  = {The undecidability of joint embedding for 3-dimensional permutation classes},
  author = {Samuel Braunfeld},
  journal= {arXiv preprint arXiv:2002.11494},
  year   = {2023}
}

Comments

20 pages. DMTCS version. arXiv admin note: substantial text overlap with arXiv:1903.11932

R2 v1 2026-06-23T13:54:33.978Z