English

The Complexity of the Core Model

Logic 2016-09-06 v1

Abstract

We use the Sigma^1_3 absoluteness theorem to show that the complexity of the statement "(omega,E)isisomorphictoaninitialsegmentofthecoremodel"isPi41,andthatthecomplexityofthestatement"(omega,E) is isomorphic to an initial segment of the core model" is Pi^1_4, and that the complexity of the statement "(omega,E) is isomorphic to a member of the core model" is Delta^1_5.

Cite

@article{arxiv.math/9210202,
  title  = {The Complexity of the Core Model},
  author = {William J. Mitchell},
  journal= {arXiv preprint arXiv:math/9210202},
  year   = {2016}
}