〈a, b | aab=b, aaaa=bbb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁶ ⇒ a⁴
2. ba² ⇒ b
3. a²b ⇒ b
4. b³ ⇒ a⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)