Hierarchical Set Decision Diagrams and Automatic Saturation - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2008

Hierarchical Set Decision Diagrams and Automatic Saturation

Alexandre Hamez
  • Fonction : Auteur
  • PersonId : 980314
Yann Thierry-Mieg
Fabrice Kordon

Résumé

Shared decision diagram representations of a state-space have been shown to provide efficient solutions for model-checking of large systems. However, decision diagram manipulation is tricky, as the construction procedure is liable to produce intractable intermediate structures (a.k.a peak effect). The definition of the so-called saturation method has empirically been shown to mostly avoid this peak effect, and allows verification of much larger systems. However, applying this algorithm currently requires deep knowledge of the decision diagram data-structures, of the model or formalism manipulated, and a level of interaction that is not offered by the API of public DD packages. Hierarchical Set Decision Diagrams (SDD) are decision diagrams in which arcs of the structure are labeled with sets, themselves stored as SDD. This data structure offers an elegant and very efficient way of encoding structured specifications using decision diagram technology. It also offers, through the concept of inductive homomorphisms, unprecedented freedom to the user when defining the transition relation. Finally, with very limited user input, the SDD library is able to optimize evaluation of a transition relation to produce a saturation effect at runtime. We further show that using recursive folding, SDD are able to offer solutions in logarithmic complexity with respect to other DD. We conclude with some performances on well known examples.

Dates et versions

hal-01303835 , version 1 (18-04-2016)

Identifiants

Citer

Alexandre Hamez, Yann Thierry-Mieg, Fabrice Kordon. Hierarchical Set Decision Diagrams and Automatic Saturation. 29th International Conference on Petri Nets and Other Models of Concurrency (ICATPN 2008), Jun 2008, Xian, China. pp.211-230, ⟨10.1007/978-3-540-68746-7_16⟩. ⟨hal-01303835⟩
77 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More