〈a, b | abba=a, baabb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a² ⇒ a
2. ab²a ⇒ a
3. bab² ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)