〈a, b | aab=b, bbaa=baa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ b
2. b³ ⇒ b²
3. b²a² ⇒ ba²
4. b²ab ⇒ bab

Right Cayley graph (truncated)

Left Cayley graph (truncated)