〈a, b | aba=aa, baabb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a²
2. a³b² ⇒ ab
3. ba²b² ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)