〈a, b | aab=bb, abaa=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. aba² ⇒ ab
2. a⁵b ⇒ a³b
3. b² ⇒ a²b
4. ba²b ⇒ a⁴b
5. ba⁴b ⇒ a⁴b

Right Cayley graph (truncated)

Left Cayley graph (truncated)