〈a, b | aab=bb, bbaa=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁵ ⇒ b²
2. ab ⇒ b³
3. b²a² ⇒ b³

Right Cayley graph (truncated)

Left Cayley graph (truncated)