@INPROCEEDINGS{Schmidt06, AUTHOR = {Schmidt, R. A.}, YEAR = {2006}, TITLE = {Developing Modal Tableaux and Resolution Methods via First-Order Resolution}, EDITOR = {Governatori, G. and Hodkinson, I. and Venema, Y.}, BOOKTITLE = {Advances in Modal Logic, Volume 6}, PUBLISHER = {College Publications}, ADDRESS = {London}, PAGES = {1--26}, NOTE = {Invited paper}, ISBN = {1-904987-20-6}, URL = {http://www.aiml.net/volumes/volume6/Schmidt.ps}, ABSTRACT = { This paper explores the development of calculi using different proof methods for propositional dynamic modal logics. Dynamic modal logics are PDL-like extended modal logics which are closely related to description logics. We show how tableau systems, modal resolution systems and Rasiowa-Sikorski systems, which are dual tableau systems, can be developed and studied by using standard principles and methods of first-order theorem proving. We translate modal logic reasoning problems to first-order clausal form and then use a suitable refinement of resolution to construct and mimic derivations using the desired proof method. The inference rules of the calculus can then be read off from the clausal form used. } }