〈a, b | aab=aa, bbab=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ a²
2. b²a² ⇒ ba²
3. b²ab ⇒ ba
4. baba² ⇒ ba³
5. b(ab)² ⇒ ba²

Right Cayley graph (truncated)

Left Cayley graph (truncated)