〈a, b | baa=abb, bba=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left b/a

Complete rewriting system

1. b⁵a ⇒ b⁴a
2. ab² ⇒ b³a
3. a² ⇒ b²a
4. b³aba ⇒ b⁴a

Right Cayley graph (truncated)

Left Cayley graph (truncated)