〈a, b | aaa=bb, abab=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁹ ⇒ b⁴
2. ab⁴ ⇒ b⁸
3. bab³ ⇒ b³
4. b²a ⇒ ab²
5. (ab)² ⇒ ab
6. a³ ⇒ b²
7. aba²b² ⇒ a²b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)