〈a, b | baa=abb, bba=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. ba² ⇒ ab²
2. b²a ⇒ b²
3. bab² ⇒ b²
4. b⁴ ⇒ b³

Right Cayley graph (truncated)

Left Cayley graph (truncated)