On Application of Multi-Rooted Binary Decision Diagrams to Probabilistic Model Checking. / Bugaychenko, D.Y.
Proceedings of the 13th International Conference on Verification, Model Checking, and Abstract Interpretation (VMCAI). Springer Nature, 2012. p. 104-118.Research output: Chapter in Book/Report/Conference proceeding › Article in an anthology
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TY - CHAP
T1 - On Application of Multi-Rooted Binary Decision Diagrams to Probabilistic Model Checking
AU - Bugaychenko, D.Y.
PY - 2012
Y1 - 2012
N2 - In this paper we consider the applicability of multi-rooted binary decision diagrams for the probabilistic model checking. The symbolic probabilistic model checking involves manipulation of functions and matrices with the values in $[0,1]$, and multi-terminal binary decision diagrams, sparse matrices, and combinations thereof are used to represent these objects. We propose algorithms for representing these objects by means of multi-rooted binary decision diagrams when a function with the values in $[0,1]$ is approximated by a set of Boolean functions. Each Boolean function is represented by a binary decision diagram and being combined together these diagrams form a mutli-rooted binary decision diagram. Presented experimental results show that this approach allows for the model checking for large problems with a smaller memory footprint, compared to the use of the multi-terminal binary decision diagrams.
AB - In this paper we consider the applicability of multi-rooted binary decision diagrams for the probabilistic model checking. The symbolic probabilistic model checking involves manipulation of functions and matrices with the values in $[0,1]$, and multi-terminal binary decision diagrams, sparse matrices, and combinations thereof are used to represent these objects. We propose algorithms for representing these objects by means of multi-rooted binary decision diagrams when a function with the values in $[0,1]$ is approximated by a set of Boolean functions. Each Boolean function is represented by a binary decision diagram and being combined together these diagrams form a mutli-rooted binary decision diagram. Presented experimental results show that this approach allows for the model checking for large problems with a smaller memory footprint, compared to the use of the multi-terminal binary decision diagrams.
KW - probabilistic model checking
KW - binary decision diagrams
M3 - Article in an anthology
SN - 978-3-642-27939-3
SP - 104
EP - 118
BT - Proceedings of the 13th International Conference on Verification, Model Checking, and Abstract Interpretation (VMCAI)
PB - Springer Nature
ER -
ID: 4452816