〈a, b | aab=b, bbab=bba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a²b ⇒ b
2. b²a³ ⇒ b²a
3. b³ ⇒ b²a²
4. b²ab ⇒ b²a

Right Cayley graph (truncated)

Left Cayley graph (truncated)