〈a, b | aab=a, bbbba=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁴ ⇒ a
2. ab ⇒ a³
3. b⁴a ⇒ ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)