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Many-valued logic

Index Many-valued logic

In logic, a many-valued logic (also multi- or multiple-valued logic) is a propositional calculus in which there are more than two truth values. [1]

69 relations: Adder (electronics), Alexander Zinoviev, Alfred Tarski, Aristotle, Arthur Prior, Automatic test pattern generation, Łukasiewicz logic, Chalmers University of Technology, Characteristic function, Classical logic, De Morgan algebra, Degree of truth, Emil Leon Post, False dilemma, Field-programmable gate array, Finite-valued logic, Fuzzy logic, Gödel logic, Hans Reichenbach, IEEE 1164, IEEE Computer Society, Indicator function, Infinite-valued logic, Institute of Electrical and Electronics Engineers, Intermediate logic, Intuitionistic logic, Jaina seven-valued logic, Jan Łukasiewicz, Jean-Yves Béziau, John Locke, Joseph Goguen, Kurt Gödel, Law of excluded middle, Logic, Logical biconditional, Logical conjunction, Logical disjunction, Logical matrix, Material conditional, Maxima and minima, Mu (negative), MV-algebra, MVCML, Negation, Noise-based logic, Petr Hájek, Principle of bivalence, Probabilistic logic, Problem of future contingents, Programmable logic array, ..., Proposition, Propositional calculus, Rational number, Real number, Redundant binary representation, Relevance logic, Residue number system, Semantics, Siegfried Gottwald, Stanford Encyclopedia of Philosophy, Stephen Cole Kleene, Sui generis, Tautology (logic), Term logic, Three-state logic, Three-valued logic, Truth value, Verilog, VHDL. Expand index (19 more) »

Adder (electronics)

An adder is a digital circuit that performs addition of numbers.

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Alexander Zinoviev

Aleksandr Aleksandrovich Zinovyev (October 29, 1922 – May 10, 2006) was a Russian logician and writer of social critique.

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Alfred Tarski

Alfred Tarski (January 14, 1901 – October 26, 1983), born Alfred Teitelbaum,School of Mathematics and Statistics, University of St Andrews,, School of Mathematics and Statistics, University of St Andrews.

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Aristotle

Aristotle (Ἀριστοτέλης Aristotélēs,; 384–322 BC) was an ancient Greek philosopher and scientist born in the city of Stagira, Chalkidiki, in the north of Classical Greece.

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Arthur Prior

Arthur Norman Prior (4 December 1914 – 6 October 1969), usually cited as A. N. Prior, was a noted logician and philosopher.

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Automatic test pattern generation

ATPG (acronym for both Automatic Test Pattern Generation and Automatic Test Pattern Generator) is an electronic design automation method/technology used to find an input (or test) sequence that, when applied to a digital circuit, enables automatic test equipment to distinguish between the correct circuit behavior and the faulty circuit behavior caused by defects.

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Łukasiewicz logic

In mathematics, Łukasiewicz logic is a non-classical, many-valued logic.

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Chalmers University of Technology

Chalmers University of Technology (Chalmers tekniska högskola, often shortened to Chalmers) is a Swedish university located in Gothenburg that focuses on research and education in technology, natural science, architecture, maritime and other management areas.

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Characteristic function

In mathematics, the term "characteristic function" can refer to any of several distinct concepts.

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Classical logic

Classical logic (or standard logic) is an intensively studied and widely used class of formal logics.

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De Morgan algebra

In mathematics, a De Morgan algebra (named after Augustus De Morgan, a British mathematician and logician) is a structure A.

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Degree of truth

In standard mathematics, propositions can typically be considered unambiguously true or false.

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Emil Leon Post

Emil Leon Post (February 11, 1897 – April 21, 1954) was an American mathematician and logician.

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False dilemma

A false dilemma is a type of informal fallacy in which something is falsely claimed to be an "either/or" situation, when in fact there is at least one additional option.

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Field-programmable gate array

A field-programmable gate array (FPGA) is an integrated circuit designed to be configured by a customer or a designer after manufacturing hence "field-programmable".

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Finite-valued logic

In logic, a finite-valued logic (also finitely many-valued logic) is a propositional calculus in which truth values are discrete.

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Fuzzy logic

Fuzzy logic is a form of many-valued logic in which the truth values of variables may be any real number between 0 and 1.

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Gödel logic

In mathematical logic, a first-order Gödel logic is a member of a family of finite- or infinite-valued logics in which the sets of truth values V are closed subsets of the interval containing both 0 and 1.

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Hans Reichenbach

Hans Reichenbach (September 26, 1891 – April 9, 1953) was a leading philosopher of science, educator, and proponent of logical empiricism.

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IEEE 1164

The IEEE 1164 standard (Multivalue Logic System for VHDL Model Interoperability) is a technical standard published by the IEEE in 1993.

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IEEE Computer Society

IEEE Computer Society (sometimes abbreviated Computer Society or CS) is a professional society of IEEE.

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Indicator function

In mathematics, an indicator function or a characteristic function is a function defined on a set X that indicates membership of an element in a subset A of X, having the value 1 for all elements of A and the value 0 for all elements of X not in A. It is usually denoted by a symbol 1 or I, sometimes in boldface or blackboard boldface, with a subscript specifying the subset.

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Infinite-valued logic

In logic, an infinite-valued logic (or real-valued logic or infinitely many-valued logic) is a many-valued logic in which truth values comprise a continuous range.

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Institute of Electrical and Electronics Engineers

The Institute of Electrical and Electronics Engineers (IEEE) is a professional association with its corporate office in New York City and its operations center in Piscataway, New Jersey.

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Intermediate logic

In mathematical logic, a superintuitionistic logic is a propositional logic extending intuitionistic logic.

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Intuitionistic logic

Intuitionistic logic, sometimes more generally called constructive logic, refers to systems of symbolic logic that differ from the systems used for classical logic by more closely mirroring the notion of constructive proof.

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Jaina seven-valued logic

Jaina seven-valued logic is system of argumentation developed by Jaina philosophers and thinkers to support and substantiate their theory of pluralism.

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Jan Łukasiewicz

Jan Łukasiewicz (21 December 1878 – 13 February 1956) was a Polish logician and philosopher born in Lwów, a city in the Galician kingdom of Austria-Hungary.

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Jean-Yves Béziau

Jean-Yves Beziau (lang; born January 15, 1965 in Orléans, France) is a professor and researcher of the Brazilian Research Council — CNPq — at the University of Brazil in Rio de Janeiro.

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John Locke

John Locke (29 August 1632 – 28 October 1704) was an English philosopher and physician, widely regarded as one of the most influential of Enlightenment thinkers and commonly known as the "Father of Liberalism".

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Joseph Goguen

Joseph Amadee Goguen (28 June 1941 – 3 July 2006) was a US computer scientist.

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Kurt Gödel

Kurt Friedrich Gödel (April 28, 1906 – January 14, 1978) was an Austrian, and later American, logician, mathematician, and philosopher.

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Law of excluded middle

In logic, the law of excluded middle (or the principle of excluded middle) states that for any proposition, either that proposition is true or its negation is true.

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Logic

Logic (from the logikḗ), originally meaning "the word" or "what is spoken", but coming to mean "thought" or "reason", is a subject concerned with the most general laws of truth, and is now generally held to consist of the systematic study of the form of valid inference.

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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 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 matrix

A logical matrix, binary matrix, relation matrix, Boolean matrix, or (0,1) matrix is a matrix with entries from the Boolean domain Such a matrix can be used to represent a binary relation between a pair of finite sets.

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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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Maxima and minima

In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema) or on the entire domain of a function (the global or absolute extrema).

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Mu (negative)

The Japanese and Korean term mu or Chinese wú, meaning "not have; without", is a key word in Buddhism, especially Zen traditions.

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MV-algebra

In abstract algebra, a branch of pure mathematics, an MV-algebra is an algebraic structure with a binary operation \oplus, a unary operation \neg, and the constant 0, satisfying certain axioms.

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MVCML

Multiple-valued current mode logic (MVCML) or current mode multiple-valued logic (CM-MVL) is a method of representing electronic logic levels in analog CMOS circuits.

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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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Noise-based logic

Noise-based logic (NBL) is a new class of multivalued deterministic logic schemes where the logic values and bits are represented by different realizations of a stochastic process.

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Petr Hájek

Petr Hájek (6 February 1940 – 26 December 2016) was a Czech scientist in the area of mathematical logic and a professor of mathematics.

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Principle of bivalence

In logic, the semantic principle (or law) of bivalence states that every declarative sentence expressing a proposition (of a theory under inspection) has exactly one truth value, either true or false.

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Probabilistic logic

The aim of a probabilistic logic (also probability logic and probabilistic reasoning) is to combine the capacity of probability theory to handle uncertainty with the capacity of deductive logic to exploit structure of formal argument.

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Problem of future contingents

Future contingent propositions (or simply, future contingents) are statements about states of affairs in the future that are contingent: neither necessarily true nor necessarily false.

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Programmable logic array

A programmable logic array (PLA) is a kind of programmable logic device used to implement combinational logic circuits.

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Proposition

The term proposition has a broad use in contemporary analytic philosophy.

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Propositional calculus

Propositional calculus is a branch of logic.

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Rational number

In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Redundant binary representation

A redundant binary representation (RBR) is a numeral system that uses more bits than needed to represent a single binary digit so that most numbers have several representations.

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Relevance logic

Relevance logic, also called relevant logic, is a kind of non-classical logic requiring the antecedent and consequent of implications to be relevantly related.

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Residue number system

A residue numeral system (RNS) represents a large integer using a set of smaller integers, so that computation may be performed more efficiently.

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Semantics

Semantics (from σημαντικός sēmantikós, "significant") is the linguistic and philosophical study of meaning, in language, programming languages, formal logics, and semiotics.

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Siegfried Gottwald

Siegfried Johannes Gottwald (30 March 1943 – 20 September 2015) was a German mathematician, logician and historian of science.

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Stanford Encyclopedia of Philosophy

The Stanford Encyclopedia of Philosophy (SEP) combines an online encyclopedia of philosophy with peer-reviewed publication of original papers in philosophy, freely accessible to Internet users.

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Stephen Cole Kleene

Stephen Cole Kleene (January 5, 1909 – January 25, 1994) was an American mathematician.

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Sui generis

Sui generis is a Latin phrase that means "of its (his, her, their) own kind; in a class by itself; unique." A number of disciplines use the term to refer to unique entities.

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Tautology (logic)

In logic, a tautology (from the Greek word ταυτολογία) is a formula or assertion that is true in every possible interpretation.

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Term logic

In philosophy, term logic, also known as traditional logic, syllogistic logic or Aristotelian logic, is a loose name for an approach to logic that began with Aristotle and that was dominant until the advent of modern predicate logic in the late nineteenth century.

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Three-state logic

In digital electronics three-state, tri-state, or 3-state logic allows an output port to assume a high impedance state, effectively removing the output from the circuit, in addition to the 0 and 1 logic levels.

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Three-valued logic

In logic, a three-valued logic (also trinary logic, trivalent, ternary, or trilean, sometimes abbreviated 3VL) is any of several many-valued logic systems in which there are three truth values indicating true, false and some indeterminate third value.

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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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Verilog

Verilog, standardized as IEEE 1364, is a hardware description language (HDL) used to model electronic systems.

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VHDL

VHDL (VHSIC Hardware Description Language) is a hardware description language used in electronic design automation to describe digital and mixed-signal systems such as field-programmable gate arrays and integrated circuits.

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References

[1] https://en.wikipedia.org/wiki/Many-valued_logic

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