@inproceedings{MA:CHARME01, author = {M{\"o}ller, M. Oliver and Alur, Rajeev}, title = {{H}euristics for {H}ierarchical {P}artitioning with {A}pplication to {M}odel {C}hecking}, booktitle = {{C}orrect {H}ardware {D}esign and {V}erification {M}ethods, 11th IFIP WG 10.5 Advanced Research Working Conference, CHARME 2001, Livingston, Scotland, UK}, publisher = {Springer-Verlag Inc.}, editor = {Tiziana Margaria and Tom Melham}, series = {Lecture Notes in Computer Science}, volume = {2144}, address = {New York, NY, USA}, month = sep, year = {2001}, pages = {71--85}, abstract = {Given a collection of connected components, it is often desired to cluster together parts of strong correspondence, yielding a hierarchical structure. We address the automation of this process and apply heuristics to battle the combinatorial and computational complexity. We define a cost function that captures the quality of a structure relative to the connections and favors shallow structures with a low degree of branching. Finding a structure with minimal cost is NP-complete. We present a greedy polynomial-time algorithm that approximates good solutions incrementally by local evaluation of a heuristic function. We argue for a heuristic function based on four criteria: the number of enclosed connections, the number of components, the number of touched connections and the depth of the structure. We report on an application in the context of formal verification, where our algorithm serves as a preprocessor for a temporal scaling technique, called ``Next'' heuristic [aw99]. The latter is applicable in reachability analysis and is included in a recent version of the Mocha model checking tool. We demonstrate performance and benefits of our method and use an asynchronous parity computer and an opinion poll protocol as case studies.}, }