In mathematical logic, a predicate variable is a predicate letter which functions as a "placeholder" for a relation (between terms), but which has not...

where "for all x" is a quantifier, x is a variable, and "... is a human" and "... is mortal" are predicates. This distinguishes it from propositional...

Classifying topos Free variables and bound variables Multigrade predicate Opaque predicate Predicate functor logic Predicate variable Truthbearer Truth value...

{\displaystyle \gamma } . Propositional variables with no object variables such as x and y attached to predicate letters such as Px and xRy, having instead...

domain. It asserts that a predicate within the scope of a universal quantifier is true of every value of a predicate variable. It is usually denoted by...

symbol and x {\displaystyle x} is a variable. Monadic predicate calculus can be contrasted with polyadic predicate calculus, which allows relation symbols...

defined as Predicate symbols F {\displaystyle F} , G {\displaystyle G} , etc. (with appropriate arities, which are left implicit) Singular variable symbols...

notable that while we have variables for predicates in second-order-logic, we don't have variables for properties of predicates. We cannot say, for example...

by the logical operator symbol ∃, which, when used together with a predicate variable, is called an existential quantifier ("∃x" or "∃(x)" or "(∃x)"), read...

In formal logic and related branches of mathematics, a functional predicate,[citation needed] or function symbol, is a logical symbol that may be applied...

In mathematical logic, propositional logic and predicate logic, a well-formed formula, abbreviated WFF or wff, often simply formula, is a finite sequence...

first-order predicate is a predicate that takes only individual(s) constants or variables as argument(s). Compare second-order predicate and higher-order...

corresponds to a predicate variable; the contents of a table to a relation; key constraints, other constraints, and SQL queries correspond to predicates. However...

Monadic predicate calculus Predicate (mathematical logic) Predicate logic Predicate variable Quantification Second-order predicate Sentence (mathematical...

scope of an existential quantifier is true of at least one value of a predicate variable. Eli Hirsch, Quantifier Variance and Realism: Essays in Metaontology...

expressing computation based on function abstraction and application using variable binding and substitution. Untyped lambda calculus, the topic of this article...

formal expression that denotes an atomic formula. For predicate logic, the atoms are predicate symbols together with their arguments, each argument being...

variables. Then, terms can be combined into an atomic formula using a predicate symbol (relation symbol) from the signature or the special predicate symbol...

that the variable represents or denotes the object, and that any valid candidate for the object is the value of the variable. The values a variable can take...

operators, and P {\displaystyle P} the set of predicate symbols. A ground term is a term that contains no variables. Ground terms may be defined by logical...

i.e., without quantified variables. PFL employs a small number of algebraic devices called predicate functors (or predicate modifiers) that operate on...

or predicate variable in axiom schemas and P {\displaystyle P} or Q {\displaystyle Q} is used for particular such predicates. The word "predicate" is...

Q(John))} ". In this case, the existential quantifier is applied to the predicate variable " Q {\displaystyle Q} ". The added expressive power is especially...

this notation: λx is the lambda operator that binds the variable x. x hurt x is the predicate, a function that takes an argument and states that this...

Predicate transformer semantics were introduced by Edsger Dijkstra in his seminal paper "Guarded commands, nondeterminacy and formal derivation of programs"...

sentences of predicate logic that can be reduced to propositional tautologies by substitution. Propositional logic begins with propositional variables, atomic...

precondition that our predicate // must be true. // This code might make cv's condition false, and/or make other condition variables' // predicates true. // Call...

be made to avoid variable capture). Others (maybe most) just call parameters passed to (or operated on by) an open predicate variables, and when defining...

mathematical logic, stratification is any consistent assignment of numbers to predicate symbols guaranteeing that a unique formal interpretation of a logical...

of quantified variables in logic, essentially by eliminating them. Another way of eliminating quantified variables is Quine's predicate functor logic...