〈a, b | aab=ba, bbbbb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left a/b

Complete rewriting system

1. a³²b ⇒ a²b
2. ba ⇒ a²b
3. b⁵ ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)