〈a, b | aa=1, babbb=baba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. a² ⇒ 1
2. bab³ ⇒ (ba)²
3. b(ab)² ⇒ bab²a
4. (bab)² ⇒ bab

Right Cayley graph (truncated)

Left Cayley graph (truncated)