〈a, b | aab=ab, bbaa=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ ab
2. a⁴ ⇒ a³
3. b²a² ⇒ a²
4. b²ab ⇒ ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)