Predicate functor logic information

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...

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

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

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...

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

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

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...

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

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

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

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

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...

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

"Axiomatization of propositional calculus with Sheffer functors", Notre Dame J. Formal Logic, 6 (3): 209–217, doi:10.1305/ndjfl/1093958259. Wernick,...

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...

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

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...

resemble variables in logic in that they are placeholders for arbitrary terms. A compound term is composed of an atom called a "functor" and a number of "arguments"...

{\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...

Extension in logic Involution Logic of relatives Logical matrix Predicate functor logic Quantale Relation Relation construction Relational calculus Relational...

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...

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

continuous functor on a small-complete category which satisfies the appropriate solution set condition has a left-adjoint (the Freyd adjoint functor theorem)...

of very few students to attend Gottlob Frege's courses in mathematical logic. During his university years he became enthralled with the German Youth...

extensionality ends up encoding predicate logic. Like any class in set theory, a set can be read as corresponding to predicates on sets. For example, an integer...

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