〈a, b | aaba=aab, bbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a²
2. a²ba ⇒ a²b
3. b⁴ ⇒ 1
4. a²b²a ⇒ a²b²
5. a²b³a ⇒ a²b³

Right Cayley graph (truncated)

Left Cayley graph (truncated)