〈a, b | aba=a, aabbaa=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a
2. ab²a² ⇒ a²b²a
3. a³b²a ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)