〈a, b | abba=aab, bbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right bca
• Auxiliary generator bb=c

Complete rewriting system

1. b² ⇒ c
2. cb ⇒ bc
3. c² ⇒ 1
4. a²b ⇒ aca
5. acab ⇒ a²c

Right Cayley graph (truncated)

Left Cayley graph (truncated)