〈a, b | aba=aab, baa=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a²b ⇒ aba
2. b² ⇒ ba²
3. (ba)² ⇒ ba⁴
4. (ab)² ⇒ aba³

Right Cayley graph (truncated)

Left Cayley graph (truncated)