〈a, b | aaa=a, abaab=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. bab³ ⇒ ba
2. b²a ⇒ bab²
3. ba² ⇒ abab²
4. (ba)² ⇒ (ab)²
5. a³ ⇒ a
6. a²ba ⇒ ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)