English

Building Models of Determinacy from Below

Logic 2025-01-23 v2

Abstract

We present an LL-like construction that produces the minimal model of ADR+\mathsf{AD}_\mathbb{R}+"Θ\Theta is regular". In fact, our construction can produce any model of AD++ADR+V=L(P(R))\mathsf{AD}^++\mathsf{AD}_\mathbb{R}+V=L(P(\mathbb{R})) in which there is no hod mouse with a measurable limit of Woodins.

Cite

@article{arxiv.2409.07156,
  title  = {Building Models of Determinacy from Below},
  author = {Obrad Kasum and Grigor Sargsyan},
  journal= {arXiv preprint arXiv:2409.07156},
  year   = {2025}
}
R2 v1 2026-06-28T18:40:56.966Z