〈a, b | abab=aa, abbb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. ab³ ⇒ a
2. aba ⇒ a²b²
3. a²b²a ⇒ a³b

Right Cayley graph (truncated)

Left Cayley graph (truncated)