〈a, b | aba=b, bbbb=bab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁶ ⇒ b²
2. ab² ⇒ b⁴
3. bab ⇒ b⁴
4. b²a ⇒ b⁴
5. aba ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)