〈a, b | abba=bb, baab=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. b²a ⇒ ab²
2. b³ ⇒ b²
3. a²b² ⇒ b²
4. ba²b ⇒ b
5. bab² ⇒ ab²

Right Cayley graph (truncated)

Left Cayley graph (truncated)