〈a, b | aaa=a, abaab=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. a³ ⇒ a
2. ab³ ⇒ b³
3. a²b² ⇒ b²
4. abab² ⇒ b²a²b
5. aba²b ⇒ b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)