State Space Analysis Using Symmetries on Decision Diagrams

Two well-accepted techniques to tackle combinatorial explosion in model-checking are exploitation of symmetries and the use of reduced decision diagrams. Some work showed that these two techniques can be stacked in specific cases. This paper presents a novel and more general approach to combine thes...

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Bibliographic Details
Published in2012 12th International Conference on Application of Concurrency to System Design pp. 164 - 172
Main Authors Colange, M., Kordon, F., Thierry-Mieg, Y., Baarir, S.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2012
Subjects
Boolean functions
Complexity theory
Data structures
Decision Diagrams
Heuristic algorithms
Orbits
Space vehicles
State Space Analysis
Symmetries
Tin
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Summary:Two well-accepted techniques to tackle combinatorial explosion in model-checking are exploitation of symmetries and the use of reduced decision diagrams. Some work showed that these two techniques can be stacked in specific cases. This paper presents a novel and more general approach to combine these two techniques. Expected benefits of this combination are:· in symmetry-based reduction, the main source of complexity resides in the canonization computation that must be performed for each new encountered state, the use of shared decision diagrams allows one to canonize sets of states at once.· in decision diagram based techniques, dependencies between variables induce explosion in representation size, the manipulation of canonical states allows to partly overcome this limitation. We show that this combination is experimentally effective in many typical cases.
ISBN:9781467316873
1467316873
ISSN:1550-4808
2374-8567
DOI:10.1109/ACSD.2012.28