Almost All Complex Quantifiers are Simple
In C. Ebert, G. Jäger, M. Kracht & J. Michaelis (eds.), Mathematics of Language 10/11, Lecture Notes in Computer Science 6149. Springer (2010)
| Abstract | We prove that PTIME generalized quantifiers are closed under Boolean operations, iteration, cumulation and resumption. | |||||||||
| Keywords | generalized quantifiers computational complexity polyadic quantifiers Boolean combinations iteration cumulation resumption | |||||||||
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Jakub Szymanik (2010). Computational Complexity of Polyadic Lifts of Generalized Quantifiers in Natural Language. Linguistics and Philosophy 33 (3):215-250.
Lauri Hella, Jouko Väänänen & Dag Westerståhl (1997). Definability of Polyadic Lifts of Generalized Quantifiers. Journal of Logic, Language and Information 6 (3):305-335.
Johan van Benthem & Dag Westerståhl (1995). Directions in Generalized Quantifier Theory. Studia Logica 55 (3):389-419.
Juha Kontinen & Jakub Szymanik (2011). Characterizing Definability of Second-Order Generalized Quantifiers. In L. Beklemishev & R. de Queiroz (eds.), Proceedings of the 18th Workshop on Logic, Language, Information and Computation, Lecture Notes in Artificial Intelligence 6642. Springer.
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Heribert Vollmer (1999). A Generalized Quantifier Concept in Computational Complexity Theory. In Generalized Quantifiers and Computation (Aix-En-Provence, 1997). Springer.
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Marcin Zajenkowski, Rafał Styła & Jakub Szymanik (2011). A Computational Approach to Quantifiers as an Explanation for Some Language Impairments in Schizophrenia. Journal of Communication Disorder 44:2011.
Jakub Szymanik & Marcin Zajenkowski (2010). Quantifiers and Working Memory. In Maria Aloni & Katrin Schulz (eds.), Amsterdam Colloquium 2009, LNAI 6042. Springer.
Jakub Szymanik (2009). Quantifiers in TIME and SPACE. Computational Complexity of Generalized Quantifiers in Natural Language. Dissertation, University of Amsterdam
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