@INCOLLECTION{SchmidtHustadt06a, AUTHOR = {Schmidt, R. A. and Hustadt, U.}, YEAR = {2006}, TITLE = {First-Order Resolution Methods for Modal Logics}, EDITOR = {Podelski, A. and Voronkov, A. and Wilhelm, R.}, BOOKTITLE = {Volume in memoriam of {H}arald {G}anzinger}, SERIES = {Lecture Notes in Computer Science}, VOLUME = {??}, PUBLISHER = {Springer}, NOTE = {Invited overview paper, to appear}, ABSTRACT = { In this paper we give an overview of results for modal logic which can be shown using techniques and methods from first-order logic and resolution. Because of the breadth of the area and the many applications we focus on the use of first-order resolution methods for modal logics. In addition to traditional propositional modal logics we consider more expressive PDL-like dynamic modal logics which are closely related to description logics. Without going into too much detail, we survey different ways of translating modal logics into first-order logic, we explore different ways of using first-order resolution theorem provers, and we discuss a variety of results which have been obtained in the setting of first-order resolution. } }