〈a, b | aaa=1, baab=abbb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ 1
2. ba²b ⇒ ab³
3. b²ab³ ⇒ a²b⁴
4. bab⁶ ⇒ a²bab⁴
5. b(ba)²b⁴ ⇒ ab⁵
6. b⁹ ⇒ (ab)³b³
7. (ba)³b⁴ ⇒ (ab)³b⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)