〈a, b | aba=aab, abba=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. a²b ⇒ aba
2. ab²a ⇒ a
3. a(ba)² ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)