中文

皮亚诺算术的可数算术饱和模型的自同构群

逻辑 2014-02-25 v3

摘要

如果M,N是皮亚诺算术的可数算术饱和模型,且Aut(M)同构于Aut(N),那么Th(M)和Th(N)的图灵跳跃是递归等价的。

关键词

引用

@article{arxiv.1311.0772,
  title  = {Automorphism Groups of Countable Arithmetically Saturated Models of Peano Arithmetic},
  author = {James H. Schmerl},
  journal= {arXiv preprint arXiv:1311.0772},
  year   = {2014}
}

备注

This version is a complete revision of the previous version. The main result of this version greatly improves the main result of the earlier version