〈a, b | aa=a, abbabb=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. a² ⇒ a
2. abab² ⇒ ab²ab
3. (ab²)² ⇒ ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)