Abstract
One of the major aims of finite model theory consists in characterizing the queries in a given complexity class by means of a logic in which they can be described. In this way one obtains a new measure of complexity: the complexity of formal descriptions. Moreover, the characterizations allow to translate problems on complexity classes into purely modeltheoretic problems, thus opening them to modeltheoretic methods. In general, this relationship between complexity classes and logics turns out to be useful for both, complexity theory and logic.
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