〈a, b | aab=ba, bbbb=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁸ ⇒ b⁵
2. ab ⇒ b⁴
3. ba ⇒ b⁷

Right Cayley graph (truncated)

Left Cayley graph (truncated)