〈a, b | aaba=bb, baaa=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left b/a

Complete rewriting system

1. b⁹ ⇒ b²
2. bab ⇒ b⁵a
3. a²b ⇒ b²a²
4. ba³ ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)