〈a, b | aaaa=1, babbb=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a⁴ ⇒ 1
2. b⁴ ⇒ b
3. bab³ ⇒ ba
4. ba²b³ ⇒ ba²
5. ba³b³ ⇒ ba³

Right Cayley graph (truncated)

Left Cayley graph (truncated)