〈a, b | aaaa=1, bbaabb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a⁴ ⇒ 1
2. b²a²b ⇒ ba²b²
3. ba²b³ ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)