〈a, b | aaab=ba, bbbb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left a/b

Complete rewriting system

1. a⁸¹b ⇒ a³b
2. ba ⇒ a³b
3. b⁴ ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)