〈a, b | aaaa=1, aababb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. a²b ⇒ bab²
2. b(ab²)² ⇒ b
3. a⁴ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)