〈a, b | abab=aa, bbbb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba² ⇒ a³b
2. (ab)² ⇒ a²
3. b⁴ ⇒ b
4. a²b³ ⇒ a²
5. a⁴b² ⇒ a³ba
6. a³b²a² ⇒ a⁴ba
7. a³b²ab ⇒ a³ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)