〈a, b | aaba=ba, bbbb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²ba ⇒ ba
2. b⁴ ⇒ b
3. a²b²a ⇒ b²a
4. a²b³a ⇒ b³a

Right Cayley graph (truncated)

Left Cayley graph (truncated)