paper

Rigid models of Presburger arithmetic

arXiv:1803.05797 · doi:10.1002/malq.201800019

Abstract

We present a description of rigid models of Presburger arithmetic (i.e., Z-groups). In particular, we show that Presburger arithmetic has rigid models of all infinite cardinalities up to the continuum, but no larger.

10 pages; accepted to Mathematical Logic Quarterly