〈a, b | aaa=a, babbb=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. ab⁷ ⇒ ab
2. bab ⇒ ab⁵
3. ba²b ⇒ a²b⁵
4. a³ ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)