〈a, b | aba=aab, bab=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. bab ⇒ b²
2. a²b ⇒ aba
3. b³a ⇒ b³
4. ab²a ⇒ ab²

Right Cayley graph (truncated)

Left Cayley graph (truncated)