English

The $K_\infty$ Homotopy $\lambda$-Model

Logic in Computer Science 2026-04-07 v3

Abstract

We extend the complete ordered set Dana Scott's DD_\infty to a complete weakly ordered Kan complex KK_\infty, with properties that guarantee the non-equivalence of the interpretation of some higher conversions of βη\beta\eta-conversions of λ\lambda-terms.

Cite

@article{arxiv.2505.07103,
  title  = {The $K_\infty$ Homotopy $\lambda$-Model},
  author = {Daniel O. Martínez-Rivillas and Ruy J. G. B. de Queiroz},
  journal= {arXiv preprint arXiv:2505.07103},
  year   = {2026}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2104.01195