〈a, b | aba=aa, bbb=aba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

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

Right Cayley graph (truncated)

Left Cayley graph (truncated)