%0 Journal Article
%T Context-free rewriting systems and word-hyperbolic structures with uniqueness
%A Alan J. Cain
%A Victor Maltcev
%J Mathematics
%D 2012
%I arXiv
%R 10.1142/S0218196712500610
%X 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).
%U http://arxiv.org/abs/1201.6616v1