Finitely presented monoids with linear Dehn function need not have regular cross-sections

Computer Science – Formal Languages and Automata Theory

Scientific paper

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13 pages; 1 table

Scientific paper

This paper shows that a finitely presented monoid with linear Dehn function
need not have a regular cross-section, strengthening the previously-known
result that such a monoid need not be presented by a finite complete string
rewriting system, and contrasting the fact that finitely presented groups with
linear Dehn function always have regular cross-sections.

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