〈a, b | aba=a, aabb=bbb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁶ ⇒ b³
2. ab³ ⇒ b⁵
3. a²b² ⇒ b³
4. aba ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)