〈a, b | aaa=a, abbb=bba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. ab²¹ ⇒ ab⁶
2. b²a ⇒ ab³
3. abab⁶ ⇒ a²b¹⁵
4. a³ ⇒ a
5. aba²b⁶ ⇒ ab¹²
6. (ab)³b² ⇒ ab³

Right Cayley graph (truncated)

Left Cayley graph (truncated)