An algorithm for generating quantifier scopings
Computational Linguistics
Type-logical semantics
Monotonicity and Collective Quantification
Journal of Logic, Language and Information
A lexical theory of quantification in ambiguous query interpretation
A lexical theory of quantification in ambiguous query interpretation
A Remark on Collective Quantification
Journal of Logic, Language and Information
Disambiguating quantifier scope in DTS
IWCS-8 '09 Proceedings of the Eighth International Conference on Computational Semantics
Interpretation and inference with maximal referential terms
Journal of Computer and System Sciences
Modified numerals as post-suppositions
Proceedings of the 17th Amsterdam colloquium conference on Logic, language and meaning
Flexible disambiguation in DTS
CICLing'10 Proceedings of the 11th international conference on Computational Linguistics and Intelligent Text Processing
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This article proposes a new logical framework for NL quantification. The framework is based on Generalized Quantifiers, Skolem-like functional dependencies, and Maximality of the involved sets of entities. Among the readings available for NL sentences, those where two or more sets of entities are independent of one another are particularly challenging. In the literature, examples of those readings are known as Collective and Cumulative readings. This article briefly analyzes previous approaches to Cumulativity and Collectivity, and indicates (Schwarzschild in Pluralities. Kluwer, Dordrecht, 1996) as the best proposal so far to deal with these readings. Then, it incorporates its insights in the logical framework defined in Robaldo (J Philos Log 39(1):23---58, 2009a), leading to a scalable logical account for NL quantification.