English

High-Level Message Sequence Charts: Satisfiability and Realizability Revisited

Logic in Computer Science 2025-04-29 v1 Formal Languages and Automata Theory

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.

Keywords

Cite

@article{arxiv.2504.19814,
  title  = {High-Level Message Sequence Charts: Satisfiability and Realizability Revisited},
  author = {Benedikt Bollig and Marie Fortin and Paul Gastin},
  journal= {arXiv preprint arXiv:2504.19814},
  year   = {2025}
}
R2 v1 2026-06-28T23:13:48.362Z