〈a, b | baa=abb, bbb=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁶ ⇒ b⁵
2. ab² ⇒ b⁵
3. ba ⇒ b³

Right Cayley graph (truncated)

Left Cayley graph (truncated)