Temporal Logic has been developed during the last 25 years to a basic and powerful formal setting for the specification and verification of state based systems. This book, based on manifold university lectures given by the authors, gives a comprehensive description of this field. It presents concisely and uniformly the up to date material of the theory and applications of linear and branching time Temporal Logic, Temporal Logic of Actions, automata theoretical connections, model checking and others.All theoretical details as well as the numerous application examples are elaborated carefully and with all formal rigor, so intended to serve as a basic source and reference for active lectures and researchers.