〈a, b | aa=a, bbababb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a² ⇒ a
2. b²a ⇒ ab²
3. abab⁴ ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)