〈a, b | aaaabaa=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ca/b
• Auxiliary generator ab=c

Complete rewriting system

1. a³c² ⇒ caca²
2. a³cac ⇒ (ca²)²
3. a³ca² ⇒ c
4. cb ⇒ (ca²)²
5. ab ⇒ c