〈a, b | aaabbaaa=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. caca³ ⇒ (a²c)²
2. c²a⁴ca³ ⇒ a²ca⁴cac
3. a(aca³)² ⇒ c
4. ab ⇒ a²ca³
5. cb ⇒ (a²c)²