Abstract
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.