〈a, b | baab=ab, bbbb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁴b ⇒ ab
2. bab ⇒ a³b
3. ba²b ⇒ ab
4. ba³b ⇒ a²b
5. b⁴ ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)