〈a, b | aab=bb, babaa=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ b²
2. baba² ⇒ b
3. bab³ ⇒ b²
4. (ba)²b² ⇒ bab

Right Cayley graph (truncated)

Left Cayley graph (truncated)