〈a, b | aab=aaa, bba=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left b/a

Complete rewriting system

1. ab ⇒ b²a
2. b¹²a² ⇒ b⁸a²
3. a³ ⇒ b⁴a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)