〈a, b | aba=a, baab=bbb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. bab³ ⇒ b³
2. b³ab ⇒ b³
3. a²b ⇒ ab³
4. aba ⇒ a
5. ab³a ⇒ a²
6. ba² ⇒ b³a
7. a³ ⇒ ab⁵a

Right Cayley graph (truncated)

Left Cayley graph (truncated)