〈a, b | aab=aaa, baa=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁴ ⇒ a³
2. ba³ ⇒ a³
3. ab ⇒ ba²

Right Cayley graph (truncated)

Left Cayley graph (truncated)