〈a, b | bb=aa, bab=aba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. b² ⇒ a²
2. ba² ⇒ a²b
3. bab ⇒ aba

Right Cayley graph (truncated)

Left Cayley graph (truncated)