〈a, b | aaabaaa=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. c²a³ ⇒ a(ac)²
2. a²ca³ ⇒ c
3. caca³ ⇒ (a²c)²
4. ab ⇒ c
5. cb ⇒ (a²c)²