〈a, b | aba=ab, bbba=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ ab
2. aba ⇒ ab
3. a⁴ ⇒ a³
4. ab²a ⇒ ab²
5. ab³ ⇒ a³
6. b³a ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)