〈a, b | aab=ab, abaa=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left a/b

Complete rewriting system

1. a²b ⇒ ab
2. b² ⇒ aba²
3. baba² ⇒ (ab)²
4. b(ab)² ⇒ (ab)²

Right Cayley graph (truncated)

Left Cayley graph (truncated)