〈a, b | aaa=aa, abab=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a³ ⇒ a²
2. a²b ⇒ aba²
3. (ab)² ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)