〈a, b | aba=aa, abba=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a²
2. b²a ⇒ ab²
3. b³ ⇒ b²
4. a²b² ⇒ b²
5. bab² ⇒ ab²

Right Cayley graph (truncated)

Left Cayley graph (truncated)