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Interpretation (logic)

An interpretation is an assignment of meaning to the symbols of a formal language. Many formal languages used in mathematics, logic, and theoretical computer science are defined in solely syntactic terms, and as such do not have any meaning until they are given some interpretation. The general study of interpretations of formal languages is called formal…

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Overview

Formal languages

General properties of truth-functional interpretations

Interpretation of a theory

Interpretations for propositional logic

First-order logic

Higher-order predicate logics

Non-classical interpretations

Intended interpretations

Other concepts of interpretation

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Map overview Semantic statistics

Interpretation (logic)

Nodes93
Edges92
Triples3
Avg. degree1.98
Density0.021505
Components1

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Important terminology Word statistics

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Important terminology

interpretation language logic symbols formal true logical domain function first-order interpretations truth variables symbol propositional relation predicate equality example displaystyle

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
LPinstance ofalthough this is not true of glut logics0.80text
the formula φinstance ofa substitution instance0.80text
the Löwenheiminstance ofthis affects the statements of results0.80text

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