〈a, b | abb=aba, bab=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ a³
2. ab² ⇒ aba
3. bab ⇒ a²
4. aba² ⇒ a⁴
5. ba³ ⇒ a⁴
6. a⁵ ⇒ a⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)