〈a, b | aab=bb, bbb=aaa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁶ ⇒ b³
2. ab² ⇒ b⁴
3. b³a ⇒ b⁵
4. a²b ⇒ b²
5. a³ ⇒ b³

Right Cayley graph (truncated)

Left Cayley graph (truncated)