Quantifiers: Logics, Models and Computation: Volume One: Surveys

This text aims to give a systematic presentation of the main research results on the subject of quantifiers since the modern concept was formulated in the late 50s and early 60s. The majority of the papers are in the nature of a handbook. All of them are self-contained, at various levels of difficulty. The introduction surveys the main ideas and problems encountered in the logical investigation of quantifiers. The prologue, written by Per Lindstrom, presents the early history of the concept of generalized quantifiers. The volume then continues with a series of papers surveying various research areas, particularly those that are of current interest. Together they provide introductions to the subject from the points of view of mathematics, linguistics and theoretical computer science. The present volume has been prepared in parallel with "Quantifiers: Logics, Models and Computation, Volume Two - Contributions", which contains a collection of research papers on the subject in new areas. The two volumes are complementary.