〈a, b | aaa=bb, abab=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a¹¹ ⇒ a⁵
2. ba⁹ ⇒ ba³
3. aba³ ⇒ ba⁸
4. a³b ⇒ ba³
5. b² ⇒ a³
6. (ab)² ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)