〈a, b | baa=abb, bab=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left b/a

Complete rewriting system

1. b⁶ab ⇒ b⁵ab
2. ab² ⇒ b²ab
3. a² ⇒ bab
4. b(ba)² ⇒ b⁵ab
5. (ab)² ⇒ (ba)²

Right Cayley graph (truncated)

Left Cayley graph (truncated)