〈a, b | aba=aab, babb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a²b
2. ba² ⇒ a²b
3. bab² ⇒ a
4. a²b²a ⇒ a³b²
5. a²b³ ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)