〈a, b | aaba=ab, bbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²ba ⇒ ab
2. ab²a ⇒ a²b²
3. b⁴ ⇒ 1
4. a(ba)² ⇒ ab²
5. ab³a ⇒ abab²

Right Cayley graph (truncated)

Left Cayley graph (truncated)