〈a, b | aba=aab, babb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. a²b ⇒ aba
2. bab² ⇒ b
3. (ab)³ ⇒ aba

Right Cayley graph (truncated)

Left Cayley graph (truncated)