Abstract
Although the observation of grammaticality judgements is well acknowledged, their formal representation faces problems of different kinds: linguistic, psycholinguistic, logical, computational. In this paper we focus on addressing some of the logical and computational aspects, relegating the linguistic and psycholinguistic ones in the parameter space. We introduce a model-theoretic interpretation of Property Grammars, which lets us formulate numerical accounts of grammaticality judgements. Such a representation allows for both clear-cut binary judgements, and graded judgements. We discriminate between problems of Intersective Gradience (i.e., concerned with choosing the syntactic category of a model among a set of candidates) and problems of Subsective Gradience (i.e., concerned with estimating the degree of grammatical acceptability of a model). Intersective Gradience is addressed as an optimisation problem, while Subsective Gradience is addressed as an approximation problem.
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Duchier, D., Prost, JP., Dao, TBH. (2011). A Model-Theoretic Framework for Grammaticality Judgements. In: de Groote, P., Egg, M., Kallmeyer, L. (eds) Formal Grammar. FG 2009. Lecture Notes in Computer Science(), vol 5591. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20169-1_2
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DOI: https://doi.org/10.1007/978-3-642-20169-1_2
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