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<p>We prove (using grammars) that the free inverse monoid of every finite rank has co-context-free word problem. Equivalently, the co-word problem of the free inverse monoid of every finite rank is context-free.</p>

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Free inverse monoids are co-context-free

  • 期刊论文

  • 发表日期：

    2026年6月16日

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  • Tara Macalister Brough,
  • Marianne Johnson,
  • Mark Kambites,
  • Carl-Fredrik Nyberg-Brodda

摘要

We prove (using grammars) that the free inverse monoid of every finite rank has co-context-free word problem. Equivalently, the co-word problem of the free inverse monoid of every finite rank is context-free.