〈a, b | aaa=aa, abb=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. ba ⇒ ab²
2. a²b⁸ ⇒ a²b⁴
3. a³ ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)