〈a, b | ab=a, aaaaa=baa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁶ ⇒ a³
2. ba² ⇒ a⁵
3. ab ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)