Formal languages are a key concept in computer science and linguistics. The word 'formal' is pronounced /ˈfɔːməl/ in IPA, with the stress on the first syllable. 'Languages' is pronounced /ˈlæŋɡwədʒɪz/ with the stress on the second syllable. The 's' at the end of 'languages' indicates that it is plural, meaning there are many formal languages to study. These languages are designed with specific sets of rules and symbols that are rigorously defined and used for communication by machines and humans alike.
Formal languages refer to structured systems of symbols and rules that are used to precisely describe and represent information. They are typically artificial and carefully constructed, allowing for clear and unambiguous communication in various fields, including mathematics, computer science, and linguistics.
In formal languages, symbols are used to represent objects, ideas, or information, while rules dictate how these symbols can be combined and manipulated. These rules ensure consistency and accuracy in the representation and interpretation of the language. Formal languages often have strict syntax, which specifies the permitted arrangement and sequencing of symbols, as well as semantics that define the meaning and interpretation of the symbols and their combinations.
Formal languages are designed to eliminate ambiguity and misunderstandings that can arise in natural languages. Natural languages, such as English or French, may contain multiple interpretations due to their inherent complexity, context dependence, and potential for figurative expressions. In contrast, formal languages strive for precision and exactness.
Formal languages serve as a foundation for various applications, including computer programming languages, mathematical notations, formal logic systems, and specification languages for expressing requirements and constraints. They are also extensively used in automata theory, formal grammar and language theory, and as a basis for studying computational complexity and the limits of computability.
The word "formal" originates from the Latin word "formalis", which means "pertaining to form". It evolved in Middle English to refer to something done in accordance with established or conventional rules.
The term "language" comes from the Old French word "langage", which was derived from the Latin word "lingua", meaning "tongue" or "speech".
When combined, the term "formal languages" refers to a system or notation with rigidly defined rules and structures used for communication or representation. It is often associated with the field of computer science, where formal languages are used in areas such as programming languages and formal grammars.