Formal languages | Metalogic

Syntax (logic)

In logic, syntax is anything having to do with formal languages or formal systems without regard to any interpretation or meaning given to them. Syntax is concerned with the rules used for constructing, or transforming the symbols and words of a language, as contrasted with the semantics of a language which is concerned with its meaning. The symbols, formulas, systems, theorems, proofs, and interpretations expressed in formal languages are syntactic entities whose properties may be studied without regard to any meaning they may be given, and, in fact, need not be given any. Syntax is usually associated with the rules (or grammar) governing the composition of texts in a formal language that constitute the well-formed formulas of a formal system. In computer science, the term syntax refers to the rules governing the composition of well-formed expressions in a programming language. As in mathematical logic, it is independent of semantics and interpretation. (Wikipedia).

Syntax (logic)
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Related pages

Truth value | Interpretation (logic) | Theorem | Tautology (logic) | Formal grammar | Well-formed formula | Formal language | Peano axioms | Expression (mathematics) | Symbol (formal) | Sentence (mathematical logic) | Set (mathematics) | Formation rule | Consistency | Formal proof | Logical constant | Axiom | Structure (mathematical logic) | Mathematical logic | Formal system | Metalanguage | String (computer science)