〈a, b | abaaba=aaba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right bc/a
• Auxiliary generator aaba=c

Complete rewriting system

1. c²bc ⇒ cbc²
2. c(bc)² ⇒ c²
3. ac ⇒ cbc
4. abc ⇒ c
5. caba ⇒ cbc
6. a²ba ⇒ c