〈a, b | aab=b, bbbaaa=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁵ ⇒ b
2. bab ⇒ b⁴
3. a²b ⇒ b
4. ba³ ⇒ b³

Right Cayley graph (truncated)

Left Cayley graph (truncated)