〈a, b | aaa=ab, bba=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁶ ⇒ a⁴
2. ab ⇒ a³
3. b²a ⇒ ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)