〈a, b | aaa=a, abbab=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a
2. a²b ⇒ b
3. b³ ⇒ b
4. b²ab ⇒ ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)