〈a, b | aba=a, aabb=bba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left a/b

Complete rewriting system

1. aba ⇒ a
2. a³b² ⇒ a²b²
3. b²a ⇒ a²b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)