〈a, b | abb=aba, baa=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. ab² ⇒ aba
2. ba² ⇒ b²
3. (ab)² ⇒ aba
4. b⁴ ⇒ b³a
5. b³ab ⇒ b³a

Right Cayley graph (truncated)

Left Cayley graph (truncated)