Many-valued logic (also multi- or multiple-valued logic) is a propositional calculus in which there are more than two truth values. Traditionally, in Aristotle's...

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 logic, a four-valued logic is any logic with four truth values. Several types of four-valued logic have been advanced. Nuel Belnap considered the challenge...

exactly one truth value, either true or false. A logic satisfying this principle is called a two-valued logic or bivalent logic. In formal logic, the principle...

nothing in between. In many-valued logics, some propositions are neither true nor false. Kleene logic, for example, is a three-valued logic that introduces the...

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...

proof theory and semantics of many-valued logics and paraconsistent logics. His tableau method for many-valued logics generalized all previous treatments...

truth values, see the Brouwer–Heyting–Kolmogorov interpretation and Intuitionistic logic § Semantics. Multi-valued logics (such as fuzzy logic and relevance...

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...

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

Łukasiewicz as a three-valued modal logic; it was later generalized to n-valued (for all finite n) as well as infinitely-many-valued (ℵ0-valued) variants, both...

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

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

topics including modal logic, intuitionistic logic, many-valued logic, relevant logic, and fuzzy logic. The book has been published in two editions by...

many-valued logics are three-valued logics: they contain a third truth value. In Stephen Cole Kleene's three-valued logic, for example, this third truth value is...

scalar values belong to the set {0, ⁠1/2⁠, 1}, this many-valued scalar logic is for many of the operators almost identical to the 3-valued logic of Łukasiewicz...

of lemmas Objection Porism Theorem Theorem terminology Such as informal logic, argument mapping, and philosophy. [1] "Lemma." Merriam-Webster.com Dictionary...

In mathematical logic, a tautology (from Ancient Greek: ταυτολογία) is a formula that is true regardless of the interpretation of its component terms...

many-valued logics are paraconsistent). Dialetheic logics, which are also many-valued, are paraconsistent, but the converse does not hold. The ideal 3-valued paraconsistent...

In mathematical logic, an uninterpreted function or function symbol is one that has no other property than its name and n-ary form. Function symbols are...

completely destroy itself. Four valued logic IEEE 1364 defines a four-valued logic (among other things) "VHDL and Logic Synthesis". Retrieved 22 January...

function from the domain of objects to the truth values "true" and "false". In the semantics of logic, predicates are interpreted as relations. For instance...

In mathematics and logic, an axiomatic system is a set of formal statements (i.e. axioms) used to logically derive other statements such as lemma or theorems...

"Complexity of Many-valued Logics", in Fitting, Melvin; Orlowska, Ewa (eds.), Beyond two: theory and applications of multiple-valued logic, Studies in Fuzziness...

paid to the sorts. A many-sorted logic however naturally leads to a type theory. As Bart Jacobs puts it: "A logic is always a logic over a type theory."...

behaviours Many-valued logic rejects bivalence, allowing for truth values other than true and false. The most popular forms are three-valued logic, as initially...

First-order logic, also called predicate logic, predicate calculus, or quantificational logic, is a collection of formal systems used in mathematics,...

using many-valued logic implies that a measured value is a mixture of two extreme possibilities. Using the subset of many-valued logic, fuzzy logic, it...

In mathematical logic, a sentence (or closed formula) of a predicate logic is a Boolean-valued well-formed formula with no free variables. A sentence can...

In logic, mathematics and linguistics, and ( ∧ {\displaystyle \wedge } ) is the truth-functional operator of conjunction or logical conjunction. The logical...