Bounded Variable Logic and Counting

This monograph in finite model theory offers a comprehensive treatment of a variety of results in the model theory and descriptive complexity theory of infinitary logics with a bounded number of variables and logics with counting constructs. The exposition is largely self-contained, with introductor [...]
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This monograph in finite model theory offers a comprehensive treatment of a variety of results in the model theory and descriptive complexity theory of infinitary logics with a bounded number of variables and logics with counting constructs. The exposition is largely self-contained, with introductory sections on the relevant logics, model theoretic concepts, and the programme of descriptive complexity.