〈a, b | aab=b, bbbb=bba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁷ ⇒ b³
2. b²a ⇒ b⁴
3. a²b ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)