〈a, b | aabaaaba=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. c²a ⇒ ac²
2. a(ca)² ⇒ c
3. ab ⇒ (ac)²
4. cb ⇒ ac³