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Shuffle languages, Petri nets, and context-sensitive grammars

The work

AuthorsJay Loren Gischer
Editors
Typearticle
Year1981
Citekeygischer1981shuffle

Where it appeared

Published inCommunications of the ACM
PublisherAssociation for Computing Machinery
Volume24
Issue9
Pages597--605

Identifiers

DOI10.1145/358746.358767
OpenAlexW1965308680

From OpenAlex, which stores abstracts as an index of words and their positions: what is shown is rebuilt from that, and reads fluently whether or not it is what the author wrote.

Abstract

Flow expressions have been proposed as an extension of the regular expressions designed to model concurrency. We examine a simplification of these flow expressions which we call shuffle expressions . We introduce two types of machines to aid in recognizing shuffle languages and show that one such machine may be equivalent to a Petri Net. In addition, closure and containment properties of the related language classes are investigated, and we show that one machine type recognizes at least a restricted class of shuffle languages. Finally, grammars for all shuffle languages are generated, and the shuffle languages are shown to be context-sensitive.

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Added2026-10-26 20:13 UTC
Not denied bya person 2026-10-29 17:12 UTC

Filed under

cacm

Cite it as

@article{gischer1981shuffle,
  title        = {Shuffle languages, Petri nets, and context-sensitive grammars},
  author       = {Jay Loren Gischer},
  year         = {1981},
  journal      = {Communications of the ACM},
  publisher    = {Association for Computing Machinery},
  volume       = {24},
  number       = {9},
  pages        = {597--605},
  doi          = {10.1145/358746.358767},
}

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