〈a, b | bab=baa, bba=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. b³ ⇒ b²
2. b²a ⇒ b²
3. ba² ⇒ bab

Right Cayley graph (truncated)

Left Cayley graph (truncated)