〈a, b | aaa=a, baab=aba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a
2. ba²b ⇒ aba
3. (ba)² ⇒ (ab)²
4. abab² ⇒ a²ba²

Right Cayley graph (truncated)

Left Cayley graph (truncated)