〈a, b | aaa=a, aabab=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a
2. bab ⇒ ba
3. b²a ⇒ ba
4. a²ba ⇒ ba
5. ba²b ⇒ ba²

Right Cayley graph (truncated)

Left Cayley graph (truncated)