In mathematical logic, predicate functor logic (PFL) is one of several ways to express first-order logic (also known as predicate logic) by purely algebraic...

Free variables and bound variables Multigrade predicate Opaque predicate Predicate functor logic Predicate variable Truthbearer Truth value Well-formed...

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

variables is Quine's predicate functor logic. While the expressive power of combinatory logic typically exceeds that of first-order logic, the expressive power...

in formal logic from 1960 onwards was on variants of his predicate functor logic, one of several ways that have been proposed for doing logic without quantifiers...

Intensional logic is an approach to predicate logic that extends first-order logic, which has quantifiers that range over the individuals of a universe...

In predicate logic, an existential quantification is a type of quantifier, a logical constant which is interpreted as "there exists", "there is at least...

the table below. Unlike first-order logic, propositional logic does not deal with non-logical objects, predicates about them, or quantifiers. However...

Encyclopedia of Philosophy. Willard Quine, 1976, "Algebraic Logic and Predicate Functors" pages 283 to 307 in The Ways of Paradox, Harvard University...

Predicate functor in logic, a basic concept of predicate functor logic Function word in linguistics In computer programming: Functor (functional programming)...

It expresses that a predicate can be satisfied by every member of a domain of discourse. In other words, it is the predication of a property or relation...

\land } of predicates. In categorical logic, a subfield of topos theory, quantifiers are identified with adjoints to the pullback functor. Such a realization...

mathematician Thoralf Skolem. Herbrandization, the dual of Skolemization Predicate functor logic "Normal Forms and Skolemization" (PDF). Max-Planck-Institut für...

generalization of a predicate. predicate functor logic A logical system that combines elements of predicate logic with the concept of functors, allowing for...

In mathematical logic, abstract algebraic logic is the study of the algebraization of deductive systems arising as an abstraction of the well-known Lindenbaum–Tarski...

schemata, logic description schemata, and higher-order programming. A higher-order predicate is a predicate that takes one or more other predicates as arguments...

constructions, see Herbrand's theorem or the Löwenheim–Skolem theorem. Predicate functor logic Skolem, T. "Logico-combinatorial investigations in the satisfiability...

language of formal logic, a functor of the first kind removes axioms, a functor of the second kind removes predicates, and a functor of the third kind...

construct-memoized-functor(factorial) The above example assumes that the function factorial has already been defined before the call to construct-memoized-functor is...

Constraint logic programming is a form of constraint programming, in which logic programming is extended to include concepts from constraint satisfaction...

{\text{ (sphere path)}}\end{aligned}}} The notations of first-order predicate logic are streamlined when quantifiers are relegated to established domains...

semantic theories of truth, a truth predicate is a predicate on the sentences of a formal language, interpreted for logic, that formalizes the intuitive concept...

contravariant power set functor, P: Set → Set and P: Set op → Set. The covariant functor is defined more simply as the functor which sends a set S to P(S)...

value everywhere it occurs within a predicate definition. A compound term is composed of an atom called a "functor" and a number of "arguments", which...

propositional logic (with no additional axioms) has the disjunction property; this result was proven and extended to intuitionistic predicate logic by Gerhard...

found the algebraic notation (i.e. symbolic notation) of logic, especially that of predicate logic, which was still very new during his lifetime and which...

followed this isomorphism, but Martin-Löf's was the first to extend it to predicate logic by introducing dependent types. A type theory is a kind of mathematical...

{\displaystyle S} ). Many binary operations of interest in both algebra and formal logic are commutative, satisfying f ( a , b ) = f ( b , a ) {\displaystyle f(a...

Many-valued logic 3 finite ∞ Predicate First-order list Second-order Monadic Higher-order Fixed-point Free Quantifiers Predicate Monadic predicate calculus...

set-valued functor on the homotopy category of topological spaces. The term classifying space can also be used for spaces that represent a set-valued functor on...