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In logic, mathematics, computer science, and linguistics, a formal language consists of words whose letters are taken from an alphabet and are well-formed according to a specific set of rules called a formal grammar. The alphabet of a formal language consists of symbols, letters, or tokens that concatenate into strings called words. [1]
Thesaurus Linguae Latinae. A modern english thesaurus. A thesaurus (pl.: thesauri or thesauruses), sometimes called a synonym dictionary or dictionary of synonyms, is a reference work which arranges words by their meanings (or in simpler terms, a book where one can find different words with similar meanings to other words), [1] [2] sometimes as a hierarchy of broader and narrower terms ...
Synonym list in cuneiform on a clay tablet, Neo-Assyrian period [1] A synonym is a word, morpheme, or phrase that means precisely or nearly the same as another word, morpheme, or phrase in a given language. [2] For example, in the English language, the words begin, start, commence, and initiate are all synonyms of one another: they are ...
A formal language is a language that is defined by a formal system. Like languages in linguistics, formal languages generally have two aspects: the syntax is what the language looks like (more formally: the set of possible expressions that are valid utterances in the language)
The term derives from the 16th-century idiom "in plain English", meaning "in clear, straightforward language" [2] as well as the Latin planus ("flat"). Another name for the term, layman's terms, is derived from the idiom "in layman's terms" which refers to language phrased simply enough that a layman, or common person without expertise on the subject, can understand.
The Chomsky hierarchy in the fields of formal language theory, computer science, and linguistics, is a containment hierarchy of classes of formal grammars. A formal grammar describes how to form strings from a language's vocabulary (or alphabet) that are valid according to the language's syntax.
A formal language can be defined with the alphabet = { ,}, and with a word being in if it begins with and is composed solely of the symbols and . A possible interpretation of W {\displaystyle {\mathcal {W}}} could assign the decimal digit '1' to {\displaystyle \triangle } and '0' to {\displaystyle \square } .
Rudolph Carnap defined the meaning of the adjective formal in 1934 as follows: "A theory, a rule, a definition, or the like is to be called formal when no reference is made in it either to the meaning of the symbols (for example, the words) or to the sense of the expressions (e.g. the sentences), but simply and solely to the kinds and order of the symbols from which the expressions are ...