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Algebraic properties of linguistic structure (Isabella Senturia, Yale / Caltech)
Algebraic properties of linguistic structure (Isabella Senturia, Yale / Caltech)
The recognition that theoretical models of natural language syntax have robust algebraic foundations is longstanding. Both the syntactic structures proposed (trees, semirings, etc.) and metrics developed to understand them (the Chomsky hierarchy, partial orders, and so forth) closely resemble structures and systems familiar to theoretical mathematicians (groups, rings, fields, ...). Despite the underlying mathematical tools, […]