〈a, b | aaa=aa, abab=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a²
2. a²b² ⇒ ab²
3. (ab)² ⇒ b²
4. b²ab ⇒ ab³
5. ab⁴ ⇒ b⁴
6. bab³ ⇒ b⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)