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Computer Science > Formal Languages and Automata Theory

Title: Presenting Interval Pomsets with Interfaces

Abstract: Interval-order partially ordered multisets with interfaces (ipomsets) have shown to be a versatile model for executions of concurrent systems in which both precedence and concurrency need to be taken into account. In this paper, we develop a presentation of ipomsets as generated by a graph of certain discrete ipomsets (starters and terminators) under the relation which composes subsequent starters and subsequent terminators. Using this presentation, we show that also subsumptions are generated by elementary relations. We develop a similar correspondence on the automata side, relating higher-dimensional automata, which generate ipomsets, and ST-automata, which generate step sequences, and their respective languages.
Comments: Submitted to RAMICS 2024, 16 pages + reference
Subjects: Formal Languages and Automata Theory (cs.FL)
Cite as: arXiv:2403.16626 [cs.FL]
  (or arXiv:2403.16626v1 [cs.FL] for this version)

Submission history

From: Hugo Bazille [view email]
[v1] Mon, 25 Mar 2024 11:15:02 GMT (35kb)

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