〈a, b | aaa=a, aabaa=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a³ ⇒ a
2. b² ⇒ a²ba²
3. a(ba²)² ⇒ aba²b
4. (a²b)² ⇒ (ba²)²

Right Cayley graph (truncated)

Left Cayley graph (truncated)