〈a, b | ab=a, bbaaa=baa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. ab ⇒ a
2. a⁴ ⇒ a³
3. ba³ ⇒ ba²
4. b²a² ⇒ ba²

Right Cayley graph (truncated)

Left Cayley graph (truncated)