〈a, b | aba=ab, aaab=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ ab
2. b²a ⇒ b²
3. a³b ⇒ b²
4. ab³ ⇒ ab²
5. b⁴ ⇒ b³

Right Cayley graph (truncated)

Left Cayley graph (truncated)