〈a, b | aba=a, abbabb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. aba ⇒ a
2. a²b² ⇒ ab²a
3. (ab²)² ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)