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math.LO2025
An approximate zero-one law via the Dialectica interpretation
Thomas Powell, Alex Wan
Zero-one laws state that probabilistic events of a certain type must occur with probability either or , and nothing in between. We formulate a syntactic zero-one law, which…
math.OC2025
An abstract effective convergence theorem for stochastic processes, with applications to stochastic approximation
Morenikeji Neri, Nicholas Pischke, Thomas Powell
We provide a general theorem on the asymptotic behavior of stochastic processes that conform to a relaxed supermartingale condition. The distinguishing feature of our result is tha…