An interpretation is an assignment of meaning to the symbols of a formal language. Many formal languages used in mathematics, logic, and theoretical computer...

structure Interpretation function, in mathematical logic a function that assigns functions and relations to the symbols of a signature Interpretations of quantum...

First-order logic—also known as predicate logic, quantificational logic, and first-order predicate calculus—is a collection of formal systems used in...

as "interpretations", whereas the term "interpretation" generally has a different (although related) meaning in model theory, see interpretation (model...

In mathematical logic, a tautology (from Greek: ταυτολογία) is a formula or assertion that is true in every possible interpretation. An example is "x=y...

depending on the interpretation given to them. While first-order logic only includes predicates that apply to individual constants, other logics may allow predicates...

classical logic. The standard explanation of intuitionistic logic is the BHK interpretation. Several systems of semantics for intuitionistic logic have been...

branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic. It deals...

if and only if it is true under every possible interpretation of the language. In propositional logic, they are tautologies. A statement can be called...

of simple denotational models, linear logic may be seen as refining the interpretation of intuitionistic logic by replacing cartesian (closed) categories...

between logic and computation that is usually attributed to Curry and Howard, although the idea is related to the operational interpretation of intuitionistic...

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...

In logic, the semantics of logic or formal semantics is the study of the semantics, or interpretations, of formal languages and (idealizations of) natural...

constitutional documents and legislation (see statutory interpretation). In logic, an interpretation is an assignment of meaning to the symbols of a language...

Classical logic Computability logic Deontic logic Dependence logic Description logic Deviant logic Doxastic logic Epistemic logic First-order logic Formal...

In logic, disjunction, also known as logical disjunction or logical or or logical addition or inclusive disjunction, is a logical connective typically...

In mathematical logic, the Brouwer–Heyting–Kolmogorov interpretation, or BHK interpretation, of intuitionistic logic was proposed by L. E. J. Brouwer and...

of an interpretation. Two key uses of formulas are in propositional logic and predicate logic. A key use of formulas is in propositional logic and predicate...

Philosophy of logic is the area of philosophy that studies the scope and nature of logic. It investigates the philosophical problems raised by logic, such as...

collapse, but he later abandoned this interpretation. Quantum logic can be regarded as a kind of propositional logic suitable for understanding the apparent...

Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or logical...

(mathematical logic) Interpretation (logic) Substructure (mathematics) Elementary substructure Skolem hull Non-standard model Atomic model (mathematical logic) Prime...

Common Logic (CL) is a framework for a family of logic languages, based on first-order logic, intended to facilitate the exchange and transmission of...

formulas with those variables. In first-order logic and higher-order logics, a structure, (the interpretation) and the corresponding assignment of a truth...

in 1992–93. Interpretation (logic) Interpretation (model theory) Interpretability logic Japaridze, G., and De Jongh, D. (1998) "The logic of provability"...

discourse of a formalization of the science. For example, in an interpretation of first-order logic, the domain of discourse is the set of individuals over which...

classical logic (as well as the semantics of many other non-classical logics), in the sense that if the premises are true (under an interpretation), then...

Aristotle's followers, the Peripatetics, who maintained against the Stoics that Logic was "an instrument" of Philosophy. Aristotle never uses the title Organon...

In logic, a quantifier is an operator that specifies how many individuals in the domain of discourse satisfy an open formula. For instance, the universal...

In logic and mathematics, second-order logic is an extension of first-order logic, which itself is an extension of propositional logic. Second-order logic...