〈a, b | aaa=1, babbbb=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ 1
2. b⁵ ⇒ b
3. bab⁴ ⇒ ba
4. ba²b⁴ ⇒ ba²

Right Cayley graph (truncated)

Left Cayley graph (truncated)