Second-order quantifiers and the complexity of theories
Notre Dame Journal of Formal Logic 26 (3):229-303 (1985)
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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.
Kevin T. Kelly & Clark Glymour (1990). Theory Discovery From Data with Mixed Quantifiers. Journal of Philosophical Logic 19 (1):1 - 33.
Georg Gottlob (1997). Relativized Logspace and Generalized Quantifiers Over Finite Ordered Structures. Journal of Symbolic Logic 62 (2):545-574.
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Juha Kontinen (2006). The Hierarchy Theorem for Second Order Generalized Quantifiers. Journal of Symbolic Logic 71 (1):188 - 202.
Ian Pratt-Hartmann (2005). Complexity of the Two-Variable Fragment with Counting Quantifiers. Journal of Logic, Language and Information 14 (3).
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Marcin Mostowski & Jakub Szymanik (2007). Computational Complexity of Some Ramsey Quantifiers in Finite Models. The Bulletin of Symbolic Logic 13:281--282.
Joanna Golinska-Pilarek & Konrad Zdanowski (2003). Spectra of Formulae with Henkin Quantifiers. In A. Rojszczak, J. Cachro & G. Kurczewski (eds.), Philosophical Dimensions of Logic and Science. Kluwer Academic Publishers.
Wiebe Van Der Hoek & Maarten De Rijke (1993). Generalized Quantifiers and Modal Logic. Journal of Logic, Language and Information 2 (1).
M. Mostowski (1995). Quantifiers Definable by Second Order Means. In M. Krynicki, M. Mostowski & L. Szczerba (eds.), Quantifiers: Logics, Models and Computation. Kluwer Academic Publishers.
Saharon Shelah & Mor Doron (2005). A Dichotomy in Classifying Quantifiers for Finite Models. Journal of Symbolic Logic 70 (4):1297 - 1324.
Lauri Hella (1996). Logical Hierarchies in PTIME. Information and Computation 129 (1):1--19.
Jakub Szymanik (2010). 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.
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