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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]
Formal language theory, the discipline that studies formal grammars and languages, is a branch of applied mathematics. Its applications are found in theoretical computer science, theoretical linguistics, formal semantics, mathematical logic, and other areas. A formal grammar is a set of rules for rewriting strings, along with a "start symbol ...
English grammar is the set of structural rules of the English language. This includes the structure of words, phrases, clauses, ... (more formal: The song to which ...
The formal study of grammar is an important part of children's schooling from a young age through advanced learning, though the rules taught in schools are not a "grammar" in the sense that most linguists use, particularly as they are prescriptive in intent rather than descriptive.
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. The linguist Noam Chomsky theorized that four ...
In formal language theory, a context-free grammar (CFG) is a formal grammar whose production rules can be applied to a nonterminal symbol regardless of its context. In particular, in a context-free grammar, each production rule is of the form
Essive-formal case: marking a condition as a quality (a kind of shape) as a house Hungarian | Manchu: Essive-modal case: marking a condition as a quality (a way of being) as a house Hungarian: Exessive case: marking a transition from a condition: from being a house (i.e., it stops being a house) Estonian (rare) | Finnish (dialectal) Formal case
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 ...
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