〈a, b | aba=a, bbabb=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁴ ⇒ a
2. aba ⇒ a
3. b²a ⇒ a²
4. ab² ⇒ a³b

Right Cayley graph (truncated)

Left Cayley graph (truncated)