〈a, b | aaa=a, bbabbb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. ab¹⁵ ⇒ a
2. b²a ⇒ ab¹²
3. aba ⇒ a²b⁶
4. a³ ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)