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Research / Aug 31, 2026

Stable forking conjecture in simple theories

In every simple theory, can forking always be witnessed by a stable formula?

Model / AI: ChatGPT 5.6 Sol

self-reported
Aug 31, 2026

Counterexample from a quantum graph algebra

Model / AI: ChatGPT 5.6 Sol

self-reported

Freitag and Mutchnik report that guided conversations with ChatGPT led to a simple theory built from an infinite-dimensional vector space over the fraction division ring of a quantum graph algebra, giving a counterexample to the 1996 conjecture. The authors developed and checked the mathematics.

Source read 2026-09-08. Read the abstract and the authors' division-of-labour account in arXiv v1. No formal or independent verification was found.