〈a, b | aab=ba, bbab=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. ba⁴ ⇒ ba
2. ab ⇒ ba²
3. b³a ⇒ ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)