〈a, b | ab=a, baaaa=bba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁵ ⇒ a²
2. ab ⇒ a
3. b²a ⇒ ba⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)