  We introduce $LoR$, a secure, fully decentralized, and distributed
cooperative system, where $LoR$ stands for "the Loop of the Rings".
  Distinct from conventional transaction-oriented systems, $LoR$ prioritizes
{\it cooperation} using its ring-based structure, making it possible to be used
both as a cooperative workspace as well as a versatile platform for service
provisioning, accommodating various roles such as freelancers, IoT management
systems, and even managing 5G-related services. Within this system, users have
access to a secure and reliable environment, enabling them to offer a specific
set of services to a potentially vast number of users. Our main contribution is
to introduce the new structure along with its operating rules and principles,
applying a combination of randomized procedures, in such a way that the whole
system can be modeled fairly accurately in mathematically rigorous terms. This,
in particular, is used to provide rigorous proof for the facts that $LoR$ is
both reliable and secure and that it may be efficiently implemented based on
its typical communication complexity.
