〈a, b | aab=aaa, babb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ a³
2. ba² ⇒ a³
3. (ba)² ⇒ a⁴
4. bab² ⇒ a
5. a⁶ ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)