〈a, b | aba=bb, bbbb=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁷ ⇒ b²
2. ab ⇒ b⁴
3. b²a ⇒ b⁵

Right Cayley graph (truncated)

Left Cayley graph (truncated)