〈a, b | abbaaab=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. aca²ca³c ⇒ a²
2. a(a³c)² ⇒ aca²ca⁴
3. cb ⇒ bc
4. a²b ⇒ aca³c
5. b² ⇒ c