〈a, b | aab=bb, aba=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ b²
2. aba ⇒ ba
3. b²a ⇒ ba
4. ab³ ⇒ b³
5. b⁴ ⇒ b³

Right Cayley graph (truncated)

Left Cayley graph (truncated)