〈a, b | aaaa=aab, bbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a¹⁰ ⇒ a²
2. a²b ⇒ a⁴
3. b⁴ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)