Īs an effective method, an algorithm can be expressed within a finite amount of space and time and in a well-defined formal language for calculating a function. In contrast, a heuristic is an approach to problem solving that may not be fully specified or may not guarantee correct or optimal results, especially in problem domains where there is no well-defined correct or optimal result. Using human characteristics as descriptors of machines in metaphorical ways was already practiced by Alan Turing with terms such as 'memory', 'search' and 'stimulus'. More advanced algorithms can use conditionals to divert the code execution through various routes (referred to as automated decision-making) and deduce valid inferences (referred to as automated reasoning), achieving automation eventually.

Algorithms are used as specifications for performing calculations and data processing. In mathematics and computer science, an algorithm ( / ˈ æ l ɡ ə r ɪ ð əm/ ⓘ) is a finite sequence of rigorous instructions, typically used to solve a class of specific problems or to perform a computation.

For other uses, see Algorithm (disambiguation).įlowchart of using successive subtractions to find the greatest common divisor of number r and s

For the subfield of computer science, see Analysis of algorithms.

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