〈a, b | abba=a, babab=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. bab ⇒ b²
2. b³ ⇒ b
3. ab²a ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)