〈a, b | aaa=aa, abab=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a²
2. aba ⇒ ba
3. bab ⇒ ba
4. b²a ⇒ ba²
5. ba²b ⇒ ba²

Right Cayley graph (truncated)

Left Cayley graph (truncated)