〈a, b | baa=aab, abba=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. ba² ⇒ a²b
2. ab²a ⇒ b
3. (ba)² ⇒ (ab)²
4. b³a ⇒ ab³
5. a³b² ⇒ ba
6. a²bab² ⇒ b²a

Right Cayley graph (truncated)

Left Cayley graph (truncated)