〈a, b | aaa=a, baab=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a
2. bab ⇒ a²b
3. ba²b ⇒ ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)