〈a, b | aa=1, abbbabb=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ac/b
• Auxiliary generator bb=c

Complete rewriting system

1. a² ⇒ 1
2. c⁴ ⇒ c
3. c³ac ⇒ ac
4. bc ⇒ c³
5. bac ⇒ c²ac
6. cb ⇒ c³
7. b² ⇒ c

Right Cayley graph (truncated)

Left Cayley graph (truncated)