〈a, b | aba=a, babb=bba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. ab⁴ ⇒ ab²
2. b²a ⇒ bab²
3. aba ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)