〈a, b | abba=ab, bbba=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁵ ⇒ a²
2. ab ⇒ a³
3. b³a ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)