〈a, b | aba=a, bbabbb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁶ ⇒ a
2. aba ⇒ a
3. b²a ⇒ a⁴
4. ab³ ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)