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@article{1483742, author = {Dalsgaard, Andreas E. and Enevoldsen, Søren and Fogh, Peter and Jensen, Lasse S. and Jensen, Peter G. and Jepsen, Tobias S. and Kaufmann, Isabella and Larsen, Kim G. and Nielsen, Søren M. and Olesen, Mads Chr. and Pastva, Samuel and Srba, Jiří}, article_number = {4}, doi = {http://dx.doi.org/10.3233/FI-2018-1707}, keywords = {extended dependency graph; fixed-point algorithm; petri nets}, language = {eng}, issn = {0169-2968}, journal = {Fundamenta Informaticae}, title = {A Distributed Fixed-Point Algorithm for Extended Dependency Graphs}, url = {https://content.iospress.com/articles/fundamenta-informaticae/fi1707}, volume = {161}, year = {2018} }
TY - JOUR ID - 1483742 AU - Dalsgaard, Andreas E. - Enevoldsen, Søren - Fogh, Peter - Jensen, Lasse S. - Jensen, Peter G. - Jepsen, Tobias S. - Kaufmann, Isabella - Larsen, Kim G. - Nielsen, Søren M. - Olesen, Mads Chr. - Pastva, Samuel - Srba, Jiří PY - 2018 TI - A Distributed Fixed-Point Algorithm for Extended Dependency Graphs JF - Fundamenta Informaticae VL - 161 IS - 4 SP - 351-381 EP - 351-381 SN - 01692968 KW - extended dependency graph KW - fixed-point algorithm KW - petri nets UR - https://content.iospress.com/articles/fundamenta-informaticae/fi1707 L2 - https://content.iospress.com/articles/fundamenta-informaticae/fi1707 N2 - Equivalence and model checking problems can be encoded into computing fixed points on dependency graphs. Dependency graphs represent causal dependencies among the nodes of the graph by means of hyper-edges. We suggest to extend the model of dependency graphs with so-called negation edges in order to increase their applicability. The graphs (as well as the verifi- cation problems) suffer from the state space explosion problem. To combat this issue, we design an on-the-fly algorithm for efficiently computing fixed points on extended dependency graphs. Our algorithm supplements previous approaches with the possibility to back-propagate, in certain scenarios, the domain value 0, in addition to the standard back-propagation of the value 1. Finally, we design a distributed version of the algorithm, implement it in our open-source tool TAPAAL, and demonstrate the efficiency of our general approach on the benchmark of Petri net models and CTL queries from the annual Model Checking Contest. ER -
DALSGAARD, Andreas E., Søren ENEVOLDSEN, Peter FOGH, Lasse S. JENSEN, Peter G. JENSEN, Tobias S. JEPSEN, Isabella KAUFMANN, Kim G. LARSEN, Søren M. NIELSEN, Mads Chr. OLESEN, Samuel PASTVA a Jiří SRBA. A Distributed Fixed-Point Algorithm for Extended Dependency Graphs. \textit{Fundamenta Informaticae}. 2018, roč.~161, č.~4, s.~351-381. ISSN~0169-2968. Dostupné z: https://dx.doi.org/10.3233/FI-2018-1707.
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