〈a, b | aaab=ab, bbba=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁵ ⇒ b
2. ba ⇒ b³
3. a³b ⇒ ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)