Which statement best defines a programming language?

A programming language can be best defined as a set of rules, symbols, and special words used to construct programs. This definition encapsulates the essence of what a programming language is designed to do: it provides a structured way for programmers to express algorithms and control the behavior of a computer.

The rules outline the syntax and grammar that must be adhered to when writing code, ensuring that the instructions can be understood by the computer. The symbols and special words make up the vocabulary of the language, allowing developers to create variables, control structures, functions, and other constructs necessary for software development.

This definition highlights the comprehensive nature of programming languages, which are not limited to mere commands but instead are complex systems enabling communication between humans and machines. Understanding programming languages involves grasping not only the syntax but also the logic and structure required to develop functional software.

In contrast, options that suggest a programming language is merely a collection of graphic interfaces, a set of mathematical formulas, or only command-line instructions fail to capture the full scope and purpose of programming languages, which encompass a wide range of constructs and styles beyond those specific contexts.