〈a, b | aaa=1, ababab=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁸ ⇒ b⁴
2. bab⁷ ⇒ bab³
3. b²ab ⇒ ab³
4. ba²b² ⇒ abab³
5. b(ab)² ⇒ a²b²
6. a³ ⇒ 1
7. ba²bab³ ⇒ a²bab⁶

Right Cayley graph (truncated)

Left Cayley graph (truncated)