〈a, b | aa=a, bbabb=aba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a² ⇒ a
2. b(ba)² ⇒ abab²
3. b²ab² ⇒ aba
4. abab²a ⇒ abab²
5. abab³a ⇒ (ab)³b
6. abab⁴ ⇒ a(ba)²

Right Cayley graph (truncated)

Left Cayley graph (truncated)