〈a, b | aababa=aabb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ac/b
• Auxiliary generator aabb=c

Complete rewriting system

1. a²b² ⇒ c
2. a²(ba)² ⇒ c
3. cab² ⇒ a(ab)²c
4. ca(ba)² ⇒ a(ab)²c