〈a, b | aaab=ab, baba=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. b² ⇒ b
2. ba² ⇒ b
3. bab ⇒ ba
4. a³b ⇒ ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)