〈a, b | aaba=a, abab=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. bab ⇒ ab²
2. a²ba ⇒ a
3. a²b² ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)