〈a, b | aab=ab, bbbba=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. ba ⇒ b
2. a²b ⇒ ab
3. b⁴ ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)