〈a, b | aaab=b, bbaba=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³b ⇒ b
2. ba³ ⇒ b
3. b²ab ⇒ ba²
4. b(ab)² ⇒ b
5. ba(ab)² ⇒ ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)