〈a, b | aaab=b, bbba=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a⁴ ⇒ a
2. a³b ⇒ b
3. b³a ⇒ a
4. b⁴ ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)