〈a, b | aaab=b, ababa=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁵ ⇒ b
2. bab⁴ ⇒ ba
3. b²a ⇒ ab²
4. ba² ⇒ (ab)²
5. (ba)² ⇒ a²b
6. a³b ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)