〈a, b | aaba=bb, bbbb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left a/b

Complete rewriting system

1. a¹⁸b ⇒ b
2. ba ⇒ a¹⁰b
3. b² ⇒ a¹²b

Right Cayley graph (truncated)

Left Cayley graph (truncated)