〈a, b | aaaa=1, abbbab=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁷ ⇒ b
2. b³ab ⇒ ab⁴
3. a²b ⇒ b⁴
4. a⁴ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)