〈a, b | bab=aaa, baab=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁹ ⇒ a³
2. ba³ ⇒ a⁷
3. a³b ⇒ a⁷
4. bab ⇒ a³
5. ba²b ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)