〈a, b | aba=aa, bbb=aaa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a²
2. b³ ⇒ a³
3. ba³ ⇒ a³b
4. a⁴b ⇒ a⁴
5. a³b²a ⇒ a⁴
6. a⁷ ⇒ a⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)