Efficient Computation of Implicational Universals in Constraint-Based Phonology Through the Hyperplane Separation Theorem
This paper focuses on the most basic \textit{implicational universals} in phonological theory, called \textit{T-orders} after Anttila and Andrus (2006). It develops necessary and sufficient constraint characterizations of T-orders within \textit{Harmonic Grammar} and \textit{Optimality Theory}. These conditions rest on the rich convex geometry underlying these frameworks. They are phonologically intuitive and have significant algorithmic implications.
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