Satisfiability Problem (SAT)

The Satisfiability Problem (SAT) asks whether there is a way to assign true or false values to a set of variables so that a given logical expression—or formula—is true. Imagine a complex puzzle composed of interconnected conditions; the question is whether it's possible to choose true/false values for each element to make the entire puzzle true. SAT is fundamental in computer science because many problems can be translated into this form, helping us understand the limits of what can be efficiently solved and guiding the development of algorithms for real-world applications like encryption, scheduling, and circuit design.