〈a, b | aaaa=1, babbab=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a⁴ ⇒ 1
2. b²ab ⇒ bab²
3. (ba)²b² ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)