〈a, b | bab=aba, bba=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. b²a ⇒ b²
2. aba ⇒ bab
3. b⁴ ⇒ b³
4. bab² ⇒ b³
5. ab³ ⇒ b³

Right Cayley graph (truncated)

Left Cayley graph (truncated)