〈a, b | aba=bb, aaab=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left a/b

Complete rewriting system

1. a⁸b ⇒ a⁷b
2. aba ⇒ a³b
3. b² ⇒ a³b
4. ba³b ⇒ a⁶b
5. ba⁵b ⇒ a⁷b
6. ba⁶b ⇒ a⁷b
7. ba⁷b ⇒ a⁷b

Right Cayley graph (truncated)

Left Cayley graph (truncated)