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Symbolic state-space exploration and numerical analysis of state-sharing composed models

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Publication:1434418
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DOI10.1016/j.laa.2004.01.006zbMath1048.65007OpenAlexW1965492307MaRDI QIDQ1434418

William H. Sanders, Salem Derisavi, Peter Kemper

Publication date: 4 August 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.01.006


zbMATH Keywords

numerical examplescontinuous time Markov chainsmatrix diagramsmulti-valued decision diagramssymbolic state-space exploration


Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Numerical analysis or methods applied to Markov chains (65C40)


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Lumping and reversed processes in cooperating automata ⋮ Stochastic Petri net models of \(\text{Ca}^{2+}\) signaling complexes and their analysis



Cites Work

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  • On-line computation of transitive closures of graphs
  • Symbolic model checking: \(10^{20}\) states and beyond
  • Aggregation of stochastic automata networks with replicas
  • Efficient computation and representation of large reachability sets for composed automata
  • Graph-Based Algorithms for Boolean Function Manipulation
  • Complexity of Memory-Efficient Kronecker Operations with Applications to the Solution of Markov Models
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