The book presents the main results of descriptive complexity theory, that is, the connections between axiomatizability of classes of finite structures and their... » 

The book presents the main results of descriptive complexity theory, that is, the connections between axiomatizability of classes of finite structures and their complexity, with respect to time and space bounds. The logics that are important in this context include fixed-point logics and also certain infinitary languages; their model theory is studied in detail.This second edition is thoroughly revised and enlarged. «