At its heart, an algorithm is a finite sequence of mathematically rigorous instructions, typically employed to solve a specific class of problems or to perform a computation. These precise steps serve as specifications for carrying out calculations and processing data. More advanced algorithms can incorporate conditional statements, allowing the code execution to follow various routes, a process known as automated decision-making, and to deduce valid
inferences, referred to as automated reasoning. This structured approach makes algorithms indispensable in both mathematics and computer science.
Defining What an Algorithm Is (and Isn't)
An informal definition of an algorithm describes it as "a set of rules that precisely defines a sequence of operations." This broad definition could encompass various procedures, from computer programs to bureaucratic processes or even a cookbook recipe. However, a crucial distinction in formal computer science is that a program is considered an algorithm only if it eventually terminates. More formally, an algorithm is an explicit set of instructions designed to produce an output, which can be followed by either a computer or a human performing specific operations on symbols.
In contrast to algorithms, a heuristic is an approach to problem-solving that does not guarantee well-defined correct or optimal results. For example, while social media recommender systems are commonly referred to as
