〈a, b | aaba=ba, aabb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. b²a ⇒ a²
2. ab² ⇒ a²
3. aba ⇒ ba²
4. a³ ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)