〈a, b | ab=a, aaaaa=bba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁶ ⇒ a²
2. ab ⇒ a
3. b²a ⇒ a⁵

Right Cayley graph (truncated)

Left Cayley graph (truncated)