Summary

In this chapter, we embarked on a deep exploration of the essential theorems that serve as the foundation for distributed systems. These theorems offer formal proofs and valuable insights into different facets of distributed computing, including consensus protocols, distributed algorithms, and fault tolerance. By studying these theorems, we gained a comprehensive understanding of the limitations and possibilities that are inherent in distributed systems. Additionally, we talked about some probabilistic data structures that are commonly employed in distributed systems, further expanding our knowledge in this domain.

The first part of this chapter focused on examining classical theorems that are integral to understanding distributed systems. We explored prominent theorems such as the CAP theorem, which delves into the trade-offs between consistency, availability, and partition tolerance. The PACELC theorem, another key theorem, provides insights into the behavior of systems...