〈a, b | abab=ab, bbaa=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba² ⇒ a²
2. (ab)² ⇒ ab
3. b²a² ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)