〈a, b | aa=a, bbabb=bab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a² ⇒ a
2. b²ab² ⇒ bab
3. b²(ab)² ⇒ (ba)²b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)