〈a, b | abba=bb, aaaaa=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁵ ⇒ 1
2. ab² ⇒ b²a⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)