Formlogik

Formlogik refers to a term used in theoretical discussions to denote a formal logic framework that foregrounds the syntactic structure of reasoning. It emphasizes rules that govern valid inference within a formal language, often abstracted from any particular domain content. It may be used as an umbrella term for systems such as propositional logic, first-order logic, and their extensions.

Core components include a formal language with symbols, a specification of syntax (formation rules), a set of inference rules or axioms, and a proof theory. Compared to semantic approaches, Formlogik focuses on derivations and proofs rather than truth conditions in models, though in practice many treatments combine both aspects (soundness and completeness).

In practice, Formlogik appears in philosophy of logic and theoretical computer science as a way to study the principles of valid reasoning, algorithmic provability, and automated theorem proving. It interacts with related fields such as model theory, proof theory, and computability theory.

The term Formlogik is more common in German-language contexts and can be used interchangeably with formal logic in those discussions, though some authors reserve Formlogik for discussions centered on form rather than meaning. Its exact usage varies by tradition, and in contemporary literature the term formal logic is more prevalent.

See also: Formal logic; Propositional logic; First-order logic; Natural deduction; Hilbert system; Proof theory.