〈a, b | aa=a, abbabb=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. bab⁶ ⇒ ba
2. b²a ⇒ bab⁴
3. a² ⇒ a
4. aba ⇒ ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)