A note on stability and NIP in one variable

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2103.15799 v1 pith:WD2BGWGD submitted 2021-03-29 math.LO

Pierre Simon This is my paper · ORCID

classification math.LO

keywords respeveryformulanoteonlyorderparametersproperty

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

A theory is NIP (resp. stable) if and only if every formula with parameters in two single variables is NIP (resp. does not have the order property).

Forward citations

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Forbidden Induced Subgraphs for Bounded Shrub-Depth and the Expressive Power of MSO
cs.LO 2025-01 conditional novelty 8.0 of 10

A hereditary graph class has bounded shrub-depth if and only if it forbids flipped half-graphs and flipped unions of long paths, which happens exactly when MSO is no more expressive than FO.