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

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

2012-01-31

arxiv.org/abs/1201.6616v1

Mathematics

Group Theory

Scientific paper

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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