〈a, b | bab=baa, bba=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left b/a

Complete rewriting system

1. b⁷a ⇒ b⁵a
2. ab ⇒ b²a
3. ba² ⇒ b³a

Right Cayley graph (truncated)

Left Cayley graph (truncated)