〈a, b | aab=bb, abab=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left b/a

Complete rewriting system

1. b⁴ ⇒ b³
2. b³ab ⇒ b²ab
3. ab² ⇒ b²ab
4. a²b ⇒ b²
5. (ab)² ⇒ b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)