〈a, b | aba=aaa, babb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a³
2. ba² ⇒ a³
3. a²b² ⇒ a⁴
4. bab² ⇒ a
5. a⁵ ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)