〈a, b | aaba=abb, bbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. ab² ⇒ a²ba
2. (a²b)²a ⇒ a
3. b⁴ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)