〈a, b | aba=aaa, bbb=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a³
2. ba² ⇒ a²b
3. b³ ⇒ a²
4. a³b ⇒ a⁴
5. a²b²a ⇒ a⁵
6. a⁶ ⇒ a⁵

Right Cayley graph (truncated)

Left Cayley graph (truncated)