〈a, b | aab=bb, abba=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁵ ⇒ b²
2. ab⁴ ⇒ ab
3. b²a ⇒ b⁴
4. a²b ⇒ b²
5. aba ⇒ ab³

Right Cayley graph (truncated)

Left Cayley graph (truncated)