Applications of many-valued logic can be roughly classified into two groups.

Many-valued logics are those allowing sentences to have values other than true and false.

The first group uses many-valued logic domain to solve binary problems more efficiently.

One of the early motivations for the study of many-valued logics has been precisely this issue.

The Horn satisfiability problem can also be asked for propositional many-valued logics.

In many-valued logic, it preserves a general designation.

As well, he worked in mathematical logic, discovering the many-valued logic algebra which bears his name.

Some have attempted to solve this problem by means of many-valued logics, and van Fraassen states that he would not argue against such a thing.

Covers proof theory of many-valued logics as well, in the tradition of Hájek.

An obvious extension to classical two-valued logic is a many-valued logic for more than two possible values.

Systematization of the finite many-valued logics through the method of tableaux.

Note that the quantifiers ranged over propositional values in Łukasiewicz's work on many-valued logics.

Łukasiewicz gained world fame with his concept of many-valued logic and is known for his "Polish notation."

Algebraic analysis of many-valued logics.

Some of many-valued logics may have incompatible definitions of equivalence and order (entailment).

His main research areas are fuzzy sets and fuzzy methodologies, many-valued logic and history of mathematics.

His work Time and Modality explored the use of a many-valued logic to explain the problem of non-referring names.

With these valuations, many-valued logic can be extended to allow for fuzzy premises from which graded conclusions may be drawn.

Many-valued logic, including fuzzy logic, which rejects the law of the excluded middle and allows as a truth value any real number between 0 and 1.

Carnielli contributed to the proof theory and semantics of many-valued logics and paraconsistent logics.

Furthermore other formalisms: Dempster-Shafer theory, chaos theory and many-valued logic are used in the construction of computational models.

Stanford Encyclopedia of Philosophy: "Many-valued logic" - by Siegfried Gottwald.

(Fuzzy logic understood as many-valued logic sui generis.)

Such an approach is sometimes called "degree-theoretic semantics" by logicians and philosophers, but the more usual term is fuzzy logic or many-valued logic.

His tableau method for many-valued logics generalized all previous treatments of the subject [W. A. Carnielli.