Relativized Adjacency

Abstract

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Robust Identification in the Limit from Incomplete Positive Data

“…Next consider grammars G which are sets of sets of k-factors and and say w |= G only if the k-factors in w are an element of G. Such a definition for the ◁, <, and < T relations yields the testable classes: locally k-testable (lt) [20], piecewise k-testable (pt) [24], or tier-based locally k, T -testable (tlt) [18], respectively. These classes are string extension learnable where f maps w to its k-factors, and ⊕ is set insertion [10].…”

“…These classes are well-studied subregular classes which often have multiple characterizations, including language-theoretic, automatatheoretic, logical, and algebraic. The classes used to exemplify this work include the Strictly Local languages [20], the Strictly Piecewise languages [23], and the Tier-Based Strictly Local languages [13,18].…”