〈a, b | abb=aab, bab=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. ab² ⇒ a²b
2. bab ⇒ a²
3. a³b ⇒ a⁴
4. aba² ⇒ a⁴
5. ba³ ⇒ a⁴
6. ba²b ⇒ a²b
7. a⁵ ⇒ a⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)