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arXiv · 2504.19814

High-Level Message Sequence Charts: Satisfiability and Realizability Revisited

Benedikt Bollig·Marie Fortin·Paul Gastin
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Abstract

Message sequence charts (MSCs) visually represent interactions in distributed systems that communicate through FIFO channels. High-level MSCs (HMSCs) extend MSCs with choice, concatenation, and iteration, allowing for the specification of complex behaviors. This paper revisits two classical problems for HMSCs: satisfiability and realizability. Satisfiability (also known as reachability or nonemptiness) asks whether there exists a path in the HMSC that gives rise to a valid behavior. Realizability concerns translating HMSCs into communicating finite-state machines to ensure correct system implementations. While most positive results assume bounded channels, we introduce a class of HMSCs that allows for unbounded channels while maintaining effective implementations. On the other hand, we show that the corresponding satisfiability problem is still undecidable.

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Benedikt Bollig, Marie Fortin, Paul Gastin. 2025-04-28. High-Level Message Sequence Charts: Satisfiability and Realizability Revisited. https://arxiv.org/abs/2504.19814

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