〈a, b | aaba=ab, bbbb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a²b
2. a³b ⇒ ab
3. ab²a ⇒ a²b²
4. b⁴ ⇒ b
5. ab³a ⇒ a²b³

Right Cayley graph (truncated)

Left Cayley graph (truncated)