〈a, b | aaa=a, aabbaa=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. b² ⇒ b
2. a³ ⇒ a
3. a²b ⇒ b
4. ba² ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)