〈a, b | abab=aa, bbba=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba² ⇒ a³b
2. (ab)² ⇒ a²
3. b³a ⇒ a
4. a²b²a ⇒ a³b
5. a⁴b² ⇒ a³ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)