Generalized Quantifiers and Computation : 9th European Summer School in Logic, Language, and Information, Esslli'97 : Aix-En-Provence, France, August

This book comprises revised full versions of lectures given during the 9th European Summer School in Logic, Languages, and Information, ESSLLI'97, held in Aix-en-Provence, France, in August 1997. The six lectures presented introduce the reader to the state of the art in the area of generalized quantifiers and computation. Besides an introductory survey by the volume editor various aspects of generalized quantifiers are studied in depth. Generalized Quantifiers, an Introduction.- Counting and Locality over Finite Structures A Survey.- A Perspective on Lindström Quantifiers and Oracles.- Generalized Quantifiers in Logic Programs.- A Generalized Quantifier Concept in Computational Complexity Theory.- Ramsey Theory Is Needed for Solving Definability Problems of Generalized Quantifiers.