〈a, b | aaba=baa, bbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left a/b

Complete rewriting system

1. a¹⁸ ⇒ a³
2. ba² ⇒ a²ba
3. b⁴ ⇒ 1
4. a²(ba)⁴ ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)