〈a, b | aaa=1, abbab=bbb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. a³ ⇒ 1
2. ab²ab ⇒ b³
3. a²b³ ⇒ b²ab
4. ab⁵ ⇒ b⁴ab
5. ab⁴ab ⇒ b²ab³

Right Cayley graph (truncated)

Left Cayley graph (truncated)