A *formal language* is an organized set of symbols the essential feature of which is that it can be precisely defined in terms of just the shapes and locations of those symbols. Such a language can be defined, then, without any reference to any meanings of any of its expressions; it can exist before any interpretation is assigned to it—that is, before it has any meaning. First order logic is expressed in some formal language. A formal grammar determines which symbols and sets of symbols are formulas in a formal language.

A formal language can be defined formally as a set *A* of strings (finite sequences) on a fixed alphabet α. Some authors, including Carnap, define the language as the ordered pair <α, *A*>. Carnap also requires that each element of α must occur in at least one string in *A*.

### Other articles related to "formal language, formal languages, language, formal":

**Formal Language**- Applications - Formal Theories, Systems and Proofs - Interpretations and Models

...

**Formal languages**are entirely syntactic in nature but may be given semantics that give meaning to the elements of the

**language**... For instance, in mathematical logic, the set of possible formulas of a particular logic is a

**formal language**, and an interpretation assigns a meaning to each of the formulas—usually, a truth value ... The study of interpretations of

**formal languages**is called

**formal**semantics ...

**Formal Language**- Given Name / Surname Order

... The given name(s) normally comes before the surname ... However, in a list of people sorted alphabetically by surname, the surname usually comes first ...

... A process calculus is then a

**formal language**imposed on a history monoid in a consistent fashion ... Thus, a process calculus is to a history monoid what a

**formal language**is to a free monoid (a

**formal language**is a subset of the set of all possible finite-le ...

**Formal Language**

... A

**formal language**is an organized set of symbols the essential feature being that it can be precisely defined in terms of just the shapes and locations of those symbols ... Such a

**language**can be defined, then, without any reference to any meanings of any of its expressions it can exist before any interpretation is assigned to it—that is, before it has any meaning ... A

**formal**grammar determines which symbols and sets of symbols are formulas in a

**formal language**...

... A process calculus is then a

**formal language**imposed on a history monoid in a consistent fashion ... Thus, a process calculus is to a history monoid what a

**formal language**is to a free monoid (a

**formal language**is a subset of the set of all possible finite-length strings of an alphabet generated by the Kleene ...

### Famous quotes containing the words language and/or formal:

“Just as *language* has no longer anything in common with the thing it names, so the movements of most of the people who live in cities have lost their connexion with the earth; they hang, as it were, in the air, hover in all directions, and find no place where they can settle.”

—Rainer Maria Rilke (1875–1926)

“The manifestation of poetry in external life is *formal* perfection. True sentiment grows within, and art must represent internal phenomena externally.”

—Franz Grillparzer (1791–1872)