The stable forking conjecture, part II: Understanding the AI counterexample
Speaker(s): Scott Mutchnik (University of Illinois Chicago)
Time: 10:00-11:00 September 30, 2026
Venue: Online
Abstract:
The stable forking conjecture, posed by Hart, Kim and Pillay in 1996, says that forking in simple theories is determined by stable formulas. Recently, we have found a counterexample using ChatGPT 5.6, which finally resolves this conjecture. We discuss this counterexample: the theory of an infinite-dimensional module over the fraction division ring of the quantum algebra of the random graph, in the language with scalar multiplication by generators (similarly to the construction of Kasal (2010)).
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