Distributed Systems Theorems and Data Structures

Various theorems, algorithms, and data structures play a crucial role in the design and implementation of distributed systems. By exploring these concepts, we aim to provide a solid foundation for understanding and tackling the intricacies of building reliable, scalable, and fault-tolerant distributed systems.

We will dive deeper into a collection of essential theorems that form the theoretical underpinnings of distributed systems. These theorems provide formal proofs and insights into various aspects of distributed computing, such as consensus protocols, distributed algorithms, and fault tolerance. We’ll examine classical theorems such as the CAP theorem, the PACELC theorem, the FLP impossibility result, and the Byzantine generals problem (BGP), among others. These theorems serve as guiding principles for reasoning about the limitations and possibilities of distributed systems. With a solid grasp of the foundational theorems...