〈a, b | aba=aa, bab=aaa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁵ ⇒ a³
2. ba² ⇒ a⁴
3. aba ⇒ a²
4. a²b ⇒ a⁴
5. bab ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)