〈a, b | aab=ab, abab=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

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

Right Cayley graph (truncated)

Left Cayley graph (truncated)