〈a, b | aaa=1, abaab=bbb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b¹⁵ ⇒ b⁸
2. bab³ ⇒ ab⁷
3. ba²b ⇒ a²b³
4. a³ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)