〈a, b | aab=aaa, bbab=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ a³
2. b²a² ⇒ (ab)²
3. b²ab ⇒ a
4. a(ba)² ⇒ aba³
5. abab² ⇒ aba³
6. a⁶ ⇒ a³
7. aba⁵ ⇒ aba²

Right Cayley graph (truncated)

Left Cayley graph (truncated)