〈a, b | aaba=aa, babb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁵ ⇒ a²
2. ba² ⇒ a⁴
3. a²ba ⇒ a²
4. (ba)² ⇒ a³
5. a²b² ⇒ a³
6. bab² ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)