〈a, b | aaaaabba=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. a⁴ca³c² ⇒ c(a³c)²a
2. a(a³c)²a ⇒ c
3. cb ⇒ ca³c
4. ab ⇒ a⁴c