〈a, b | aaaabbaa=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. a(a³c)²a ⇒ c
2. a⁴ca³c² ⇒ c(a³c)²a
3. ba ⇒ a³ca
4. bc ⇒ a³c²