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Mathematical Bases of Constraint-based Approaches to PhonologyThis is an ongoing project in collaboration with Giulio Caviglia
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In this project we consider the underlying mathematic similaries between two prominent constraint-based approaches to phonological modeling (Optimality Theory and Harmonic Grammars) and the advantages that weighted-constraint approaches may have over the strict-domination models, in particular in the area of modeling phonological frequency in variation and typology.Dmitrieva, O., Caviglia, G. (2012) Convex regions and phonological frequency: Extending the weighted constraints approach. Joint Stanford Phonetics and Phonology Workshop and UC Santa Cruz Phonetics/Phonology Lunch, Stanford, California. [slides]
Caviglia, G., Dmitrieva, O. (2012) Monomial orders: From computational algebra to linguistic typology. Dipartimento di Matematica Seminario, Universita di Genoa, Genova, Italy.
Caviglia, G., Dmitrieva, O. (2012) Monomial orders: from computational algebra to linguistic typology. Mathematisches Institut Colloquium, Universitat Basel, Basel, Switzerland.