〈a, b | aaa=bb, aaba=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left a/b

Complete rewriting system

1. a⁷ ⇒ a⁴
2. a⁴b ⇒ a⁴
3. a²ba ⇒ a³
4. ba³ ⇒ a³b
5. b² ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)