〈a, b | ab=a, baaaa=baa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. ab ⇒ a
2. a⁵ ⇒ a³
3. ba⁴ ⇒ ba²

Right Cayley graph (truncated)

Left Cayley graph (truncated)