〈a, b | aaa=1, bbabbb=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ 1
2. b²ab ⇒ ab³
3. b²a²b ⇒ a²b³
4. b⁵ ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)