〈a, b | baa=abb, bbb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. ba² ⇒ ab²
2. bab ⇒ a²b
3. b³ ⇒ b
4. a³b ⇒ ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)