〈a, b | aaab=b, bbabb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁵ ⇒ b
2. ab⁴ ⇒ a
3. b²a ⇒ ab²
4. a³ ⇒ b⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)