〈a, b | aa=1, babbabb=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a² ⇒ 1
2. b²ab² ⇒ bab³
3. (ba)²b³ ⇒ b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)