〈a, b | aba=aab, baa=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. ba⁴ ⇒ ba³
2. ab ⇒ ba²

Right Cayley graph (truncated)

Left Cayley graph (truncated)