〈a, b | aab=a, bbab=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. ab ⇒ a²
2. a³ ⇒ a
3. b²a ⇒ ba²

Right Cayley graph (truncated)

Left Cayley graph (truncated)