〈a, b | bab=aba, bba=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁵ ⇒ a⁴
2. ba³ ⇒ a⁴
3. a²b ⇒ aba²
4. b²a ⇒ a²
5. bab ⇒ aba

Right Cayley graph (truncated)

Left Cayley graph (truncated)