〈a, b | aba=a, aaabb=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁵ ⇒ b²
2. ab² ⇒ b⁴
3. aba ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)