〈a, b | aba=b, baab=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ b
2. bab ⇒ ab²
3. b²a ⇒ ab²
4. a²b² ⇒ b²
5. ba²b ⇒ b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)