@INPROCEEDINGS{SchmidtTishkovsky02d, AUTHOR = {Schmidt, R. A. and Tishkovsky, D.}, YEAR = {2002}, TITLE = {Logics with Commuting Action and Informational Modalities}, EDITOR = {Balbiani, P. and Suzuki, N.-Y. and Wolter, F.}, BOOKTITLE = {Advances in Modal Logic, Workshop Proceedings AiML'2002}, PAGES = {91--108}, URL = {http://www.cs.man.ac.uk/~schmidt/publications/SchmidtTishkovsky02d.html}, ABSTRACT = {We prove completeness and decidability for a family of combinations of propositional dynamic logic and unimodal doxastic logics with commuting modalities and which satisfy a Church-Rosser axiom. We investigate the influence of the substitution rule on the properties of these logics and propose a new semantics for the test operator to avoid unwanted side effects of the interaction of the classic test operator with the extra axioms. } }