〈a, b | aaa=bb, baab=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁷ ⇒ b³
2. ab³ ⇒ b⁵
3. bab² ⇒ b⁵
4. b²a ⇒ ab²
5. ba²b ⇒ b²
6. a³ ⇒ b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)