On Approximate Classification of Theories

2025/09/07 by Alexander L Burka, Burka, Alexander
Economics, Econometrics and Finance · Social Sciences · #FOS: Mathematics #Law, Economics, and Judicial Systems #Legal principles and applications #Logic (math.LO)

paper · pdf · doi:10.48550/arxiv.2509.06238

openalex publication_date 2025/09/07 · openalex created_date 2025/10/11 · openalex updated_date 2026/08/01

Abstract

We propose a framework for model-theoretic stability and simplicity in an approximate first-order setting and generalize some classical results.

Citations

• Approximate equivalence relations
• Perfect stable regularity lemma and slice-wise stable hypergraphs
• Stability, corners, and other 2-dimensional shapes
• Countable Ramsey
• A note on the Erdős-Hajnal property for stable graphs
• A Guide to NIP theories
• Stable group theory and approximate subgroups

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