〈a, b | aab=b, bbba=bab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left b/a

Complete rewriting system

1. b⁷ ⇒ b⁴
2. bab ⇒ b³a
3. b⁴a² ⇒ b⁴
4. a²b ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)