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Exclusive or and First-order logic

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Exclusive or and First-order logic

Exclusive or vs. First-order logic

Exclusive or or exclusive disjunction is a logical operation that outputs true only when inputs differ (one is true, the other is false). First-order logic—also known as first-order predicate calculus and predicate logic—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science.

Similarities between Exclusive or and First-order logic

Exclusive or and First-order logic have 16 things in common (in Unionpedia): Abelian group, Arity, Boolean-valued function, Group (mathematics), Linguistics, List of logic symbols, Logical biconditional, Logical conjunction, Logical connective, Logical disjunction, Logical NOR, Material conditional, Negation, Propositional calculus, Truth table, Truth value.

Abelian group

In abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written.

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Arity

In logic, mathematics, and computer science, the arity of a function or operation is the number of arguments or operands that the function takes.

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Boolean-valued function

A Boolean-valued function (sometimes called a predicate or a proposition) is a function of the type f: X → B, where X is an arbitrary set and where B is a Boolean domain, i.e. a generic two-element set, (for example B.

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Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

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Linguistics

Linguistics is the scientific study of language, and involves an analysis of language form, language meaning, and language in context.

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List of logic symbols

In logic, a set of symbols is commonly used to express logical representation.

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Logical biconditional

In logic and mathematics, the logical biconditional (sometimes known as the material biconditional) is the logical connective of two statements asserting "P if and only if Q", where P is an antecedent and Q is a consequent.

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Logical conjunction

In logic, mathematics and linguistics, And (∧) is the truth-functional operator of logical conjunction; the and of a set of operands is true if and only if all of its operands are true.

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Logical connective

In logic, a logical connective (also called a logical operator, sentential connective, or sentential operator) is a symbol or word used to connect two or more sentences (of either a formal or a natural language) in a grammatically valid way, such that the value of the compound sentence produced depends only on that of the original sentences and on the meaning of the connective.

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Logical disjunction

In logic and mathematics, or is the truth-functional operator of (inclusive) disjunction, also known as alternation; the or of a set of operands is true if and only if one or more of its operands is true.

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Logical NOR

In boolean logic, logical nor or joint denial is a truth-functional operator which produces a result that is the negation of logical or.

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Material conditional

The material conditional (also known as material implication, material consequence, or simply implication, implies, or conditional) is a logical connective (or a binary operator) that is often symbolized by a forward arrow "→".

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Negation

In logic, negation, also called the logical complement, is an operation that takes a proposition P to another proposition "not P", written \neg P (¬P), which is interpreted intuitively as being true when P is false, and false when P is true.

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Propositional calculus

Propositional calculus is a branch of logic.

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Truth table

A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional arguments, that is, for each combination of values taken by their logical variables (Enderton, 2001).

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Truth value

In logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth.

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The list above answers the following questions

Exclusive or and First-order logic Comparison

Exclusive or has 90 relations, while First-order logic has 207. As they have in common 16, the Jaccard index is 5.39% = 16 / (90 + 207).

References

This article shows the relationship between Exclusive or and First-order logic. To access each article from which the information was extracted, please visit:

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