〈a, b | aaa=bb, baab=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁹ ⇒ b²
2. ab² ⇒ b⁵
3. b²a ⇒ b⁵
4. ba²b ⇒ b
5. a³ ⇒ b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)