An interpretation is an assignment of meaning to the symbols of a formal language. Many formal languages used in mathematics, logic, and theoretical computer... 32 KB (4,421 words) - 20:08, 14 February 2024 |
structure Interpretation function, in mathematical logic a function that assigns functions and relations to the symbols of a signature Interpretations of quantum... 4 KB (457 words) - 19:37, 28 July 2023 |
First-order logic—also known as predicate logic, quantificational logic, and first-order predicate calculus—is a collection of formal systems used in... 93 KB (13,173 words) - 20:30, 24 April 2024 |
as "interpretations", whereas the term "interpretation" generally has a different (although related) meaning in model theory, see interpretation (model... 34 KB (5,097 words) - 17:45, 30 March 2024 |
classical logic. The standard explanation of intuitionistic logic is the BHK interpretation. Several systems of semantics for intuitionistic logic have been... 50 KB (7,619 words) - 10:28, 29 April 2024 |
depending on the interpretation given to them. While first-order logic only includes predicates that apply to individual constants, other logics may allow predicates... 4 KB (416 words) - 16:12, 26 February 2024 |
Propositional calculus (redirect from Sentential logic) branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic. It deals... 138 KB (15,652 words) - 09:41, 28 April 2024 |
of simple denotational models, linear logic may be seen as refining the interpretation of intuitionistic logic by replacing cartesian (closed) categories... 33 KB (2,890 words) - 21:51, 19 April 2024 |
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... 21 KB (2,970 words) - 09:11, 29 March 2024 |
Curry–Howard correspondence (redirect from Proofs-as-programs interpretation) between logic and computation that is usually attributed to Curry and Howard, although the idea is related to the operational interpretation of intuitionistic... 57 KB (6,197 words) - 22:44, 18 March 2024 |
constitutional documents and legislation (see statutory interpretation). In logic, an interpretation is an assignment of meaning to the symbols of a language... 4 KB (413 words) - 03:11, 30 March 2024 |
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... 10 KB (1,004 words) - 15:12, 23 March 2024 |
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... 9 KB (975 words) - 06:49, 21 March 2024 |
In logic, the semantics of logic or formal semantics is the study of the semantics, or interpretations, of formal languages and (idealizations of) natural... 5 KB (574 words) - 15:20, 23 March 2024 |
Classical logic Computability logic Deontic logic Dependence logic Description logic Deviant logic Doxastic logic Epistemic logic First-order logic Formal... 24 KB (2,084 words) - 19:35, 14 March 2024 |
collapse, but he later abandoned this interpretation. Quantum logic can be regarded as a kind of propositional logic suitable for understanding the apparent... 69 KB (7,950 words) - 03:58, 1 April 2024 |
Logical disjunction (redirect from Or (logic)) In logic, disjunction, also known as logical disjunction or logical or or logical addition or inclusive disjunction, is a logical connective typically... 16 KB (1,848 words) - 16:25, 15 April 2024 |
In mathematical logic, the Brouwer–Heyting–Kolmogorov interpretation, or BHK interpretation, of intuitionistic logic was proposed by L. E. J. Brouwer and... 8 KB (1,279 words) - 01:26, 3 March 2024 |
Well-formed formula (redirect from Formula (mathematical logic)) 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... 16 KB (1,971 words) - 17:54, 14 April 2024 |
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... 96 KB (11,673 words) - 08:57, 15 April 2024 |
(mathematical logic) Interpretation (logic) Substructure (mathematics) Elementary substructure Skolem hull Non-standard model Atomic model (mathematical logic) Prime... 14 KB (1,012 words) - 19:53, 12 November 2023 |
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... 4 KB (456 words) - 04:48, 4 February 2024 |
formulas with those variables. In first-order logic and higher-order logics, a structure, (the interpretation) and the corresponding assignment of a truth... 3 KB (355 words) - 12:40, 27 October 2019 |
Interpretability (redirect from Relative interpretation) in 1992–93. Interpretation (logic) Interpretation (model theory) Interpretability logic Japaridze, G., and De Jongh, D. (1998) "The logic of provability"... 1 KB (169 words) - 14:33, 7 January 2024 |
Domain of discourse (category Predicate logic) 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... 4 KB (571 words) - 14:55, 7 November 2023 |
Rule of inference (redirect from Laws of Logic) 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... 11 KB (1,469 words) - 09:38, 23 October 2023 |
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... 32 KB (4,565 words) - 23:32, 29 April 2024 |
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... 31 KB (4,321 words) - 11:40, 19 February 2024 |
Logic programming is a programming, database and knowledge representation paradigm based on formal logic. A logic program is a set of sentences in logical... 84 KB (10,717 words) - 06:55, 26 April 2024 |