〈a, b | aab=bb, bbaaa=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁶ ⇒ b
2. bab ⇒ b⁵
3. a²b ⇒ b²
4. ba³ ⇒ b⁵

Right Cayley graph (truncated)

Left Cayley graph (truncated)