〈a, b | aba=a, baab=abb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a³ ⇒ a²
2. aba ⇒ a
3. ab² ⇒ ba²b

Right Cayley graph (truncated)

Left Cayley graph (truncated)