〈a, b | abaaaba=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. cac ⇒ c²a
2. ca²c ⇒ c²a²
3. c²a³ ⇒ c
4. cb ⇒ c³a²
5. ab ⇒ c