〈a, b | aaaa=1, abaab=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. a⁴ ⇒ 1
2. abab² ⇒ b²a²b
3. aba²b ⇒ b²
4. a³b² ⇒ ba²b

Right Cayley graph (truncated)

Left Cayley graph (truncated)