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arXiv · 1201.6616

Context-free rewriting systems and word-hyperbolic structures with uniqueness

Alan J. Cain·Victor Maltcev
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Abstract

This paper proves that any monoid presented by a confluent context-free monadic rewriting system is word-hyperbolic. This result then applied to answer a question asked by Duncan & Gilman by exhibiting an example of a word-hyperbolic monoid that does not admit a word-hyperbolic structure with uniqueness (that is, in which the language of representatives maps bijectively onto the monoid).

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Alan J. Cain, Victor Maltcev. 2012-01-31. Context-free rewriting systems and word-hyperbolic structures with uniqueness. https://doi.org/10.1142/s0218196712500610

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