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• W2974612935 abstract "Abstract We study liveness and model checking problems for broadcast networks, a system model of identical clients communicating via message passing. The first problem that we consider is Liveness Verification . It asks whether there is a computation such that one clients visits a final state infinitely often. The complexity of the problem has been open. It was shown to be $$texttt {P}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>P</mml:mi> </mml:math> -hard but in $$texttt {EXPSPACE}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>EXPSPACE</mml:mi> </mml:math> . We close the gap by a polynomial-time algorithm. The latter relies on a characterization of live computations in terms of paths in a suitable graph, combined with a fixed-point iteration to efficiently check the existence of such paths. The second problem is Fair Liveness Verification . It asks for a computation where all participating clients visit a final state infinitely often. We adjust the algorithm to also solve fair liveness in polynomial time. Both problems can be instrumented to answer model checking questions for broadcast networks against linear time temporal logic specifications. The first problem in this context is Fair Model Checking . It demands that for all computations of a broadcast network, all participating clients satisfy the specification. We solve the problem via the Vardi–Wolper construction and a reduction to Liveness Verification . The second problem is Sparse Model Checking . It asks whether each computation has a participating client that satisfies the specification. We reduce the problem to Fair Liveness Verification ." @default.
• W2974612935 created "2019-09-26" @default.
• W2974612935 creator A5045638191 @default.
• W2974612935 creator A5073115152 @default.
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• W2974612935 date "2021-08-10" @default.
• W2974612935 modified "2023-09-25" @default.
• W2974612935 title "Liveness in broadcast networks" @default.
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• W2974612935 doi "https://doi.org/10.1007/s00607-021-00986-y" @default.
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