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Mathematics > Logic

arXiv:1803.05797 (math)
[Submitted on 15 Mar 2018 (v1), last revised 8 Nov 2018 (this version, v2)]

Title:Rigid models of Presburger arithmetic

Authors:Emil Jeřábek
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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.
Comments: 10 pages; accepted to Mathematical Logic Quarterly
Subjects: Logic (math.LO); Logic in Computer Science (cs.LO)
MSC classes: 06F20 (Primary) 03H15, 03F30 (Secondary)
Cite as: arXiv:1803.05797 [math.LO]
  (or arXiv:1803.05797v2 [math.LO] for this version)
  https://doi.org/10.48550/arXiv.1803.05797
Journal reference: Mathematical Logic Quarterly 65 (2019), no. 1, pp. 108--115
Related DOI: https://doi.org/10.1002/malq.201800019

Submission history

From: Emil Jeřábek [view email]
[v1] Thu, 15 Mar 2018 15:16:25 UTC (18 KB)
[v2] Thu, 8 Nov 2018 17:44:09 UTC (19 KB)
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