\input zb-basic \input zb-ioport \iteman{io-port 05535616} \itemau{Thierry-Mieg, Yann; Poitrenaud, Denis; Hamez, Alexandre; Kordon, Fabrice} \itemti{Hierarchical set decision diagrams and regular models.} \itemso{Kowalewski, Stefan (ed.) et al., Tools and algorithms for the construction and analysis of systems. 15th international conference, TACAS 2009, held as part of the joint European conferences on theory and practice of software, ETAPS 2009, York, UK, March 22--29, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-00767-5/pbk). Lecture Notes in Computer Science 5505, 1-15 (2009).} \itemab Summary: This paper presents algorithms and data structures that exploit a compositional and hierarchical specification to enable more efficient symbolic model-checking. We encode the state space and transition relation using hierarchical Set Decision Diagrams (SDD). In SDD, arcs of the structure are labeled with sets, themselves stored as SDD. To exploit the hierarchy of SDD, a structured model representation is needed. We thus introduce a formalism integrating a simple notion of type and instance. Complex composite behaviors are obtained using a synchronization mechanism borrowed from process calculi. Using this relatively general framework, we investigate how to capture similarities in regular and concurrent models. Experimental results are presented, showing that this approach can outperform in time and memory previous work in this area. \itemrv{~} \itemcc{} \itemut{} \itemli{doi:10.1007/978-3-642-00768-2\_1} \end