〈a, b | aaa=a, abab=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a
2. a²b² ⇒ b²
3. (ab)² ⇒ b²
4. b²ab ⇒ ab³
5. bab³ ⇒ ab⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)