A position paper restates known AI evaluation criteria as 'tautological' definitions of reasoning and understanding, with proposed diagnostic tests but no empirical evidence.
Existence of the $(\alpha,\beta)$-Ricci-Yamabe flow on closed manifolds
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abstract
On a smooth closed Riemannian manifold, we show short time existence of smooth solutions to the $(\alpha,\beta)$-Ricci-Yamabe flow, which is a natural generalization of the Ricci flow and the Yamabe flow. We also establish some long time existence theorems for the closed $(\alpha,\beta)$-Ricci-Yamabe flow by estimating its curvatures.
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Bhatt Conjectures: On Necessary-But-Not-Sufficient Benchmark Tautology for Human Like Reasoning
A position paper restates known AI evaluation criteria as 'tautological' definitions of reasoning and understanding, with proposed diagnostic tests but no empirical evidence.