〈a, b | bab=aba, abba=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. ba⁶ ⇒ b
2. a³b ⇒ ba³
3. b² ⇒ a²ba²
4. bab ⇒ aba
5. aba²b ⇒ ba²ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)