Skolem normal form if it is in prenex normal form with only universal first-order quantifiers. Every first-order formula may be converted into Skolem...

Disjunctive normal form Negation normal form Prenex normal form Skolem normal form in lambda calculus: Beta normal form Normalization (disambiguation) Normalization...

Löwenheim Model theory Skolem arithmetic Skolem normal form Skolem's paradox Skolem problem Skolem sequence Skolem–Mahler–Lech theorem Skolem, Thoralf (1934)...

In Boolean algebra, a formula is in conjunctive normal form (CNF) or clausal normal form if it is a conjunction of one or more clauses, where a clause...

the Löwenheim–Skolem theorem does not hold in stronger logics such as second-order logic. In its general form, the Löwenheim–Skolem Theorem states that...

fundamental form. Negation normal form Conjunctive normal form Disjunctive normal form Algebraic normal form Prenex normal form Skolem normal form Blake canonical...

Nonfirstorderizability Prenex normal form Prior Analytics Prolog Relational algebra Relational model Skolem normal form Tarski's World Truth table Type...

{\displaystyle \sigma } . The Herbrand universe of a closed formula in Skolem normal form F {\displaystyle F} is the set of all terms without variables that...

theory Kripke semantics Löwenheim–Skolem theorem Model-theoretic grammar Proof theory Saturated model Skolem normal form Chang & Keisler 1990, p. 1. "Model...

formula. Thoralf Skolem had considered the Skolemizations of formulas in prenex form as part of his proof of the Löwenheim–Skolem theorem (Skolem 1920). Herbrand...

first-order logic (which also admits unary predicates and is, via Skolem normal form, related to set constraints in program analysis) and monadic second-order...

Pregeometry (model theory) Quantifier elimination Reduct Signature (logic) Skolem normal form Type (model theory) Zariski geometry Algebra of sets Axiom of choice...

Skeptics Sketch for a Theory of the Emotions Skolem's paradox Skolem–Löwenheim theorem Skolem normal form Skolem paradox Slaughterhouse-Five Slave morality...

logical language itself. The language of ZFC, with the help of Thoralf Skolem, turned out to be that of first-order logic. The paradox had already been...

semantics. Skolem normal form A way of expressing first-order logic formulas where all existential quantifiers are moved inside and replaced by Skolem functions...

Fraenkel and Thoralf Skolem independently proposed operationalizing a "definite" property as one that could be formulated as a well-formed formula in a first-order...

p(g(Y),Y)} , with f {\displaystyle f} and g {\displaystyle g} denoting the Skolem function for the first and second existential quantifier, respectively....

S3. 1920 - Thoralf Skolem proves the (downward) Löwenheim-Skolem theorem using the axiom of choice explicitly. 1922 - Thoralf Skolem proves a weaker version...

formulas restricted to one quantifier alternation (with the ability to compute Skolem functions), based on incremental determinization[clarification needed] and...

automation. In 1920, Thoralf Skolem simplified a previous result by Leopold Löwenheim, leading to the Löwenheim–Skolem theorem and, in 1930, to the notion...

algebra) Relation algebra Absorption law Laws of Form De Morgan's laws Algebraic normal form Canonical form (Boolean algebra) Boolean conjunctive query Boolean-valued...

logic is the smallest cardinal number for which a weak downward Löwenheim–Skolem theorem holds. They are named after Leopold Löwenheim, who proved that these...

that have simpler forms, known as normal forms. Some common normal forms include conjunctive normal form and disjunctive normal form. Any propositional...

A {\displaystyle \neg \neg A\to A} Algebraic normal form Conjunctive normal form Disjunctive normal form Logic optimization Weisstein, Eric W. "Tautology"...

eventually terminates, then by the Church–Rosser theorem it will produce a β-normal form. Variable names are not needed if using a universal lambda function,...

{H} } ⁠) as a ring are the inner automorphisms, by the Skolem–Noether theorem: maps of the form a ↦ bab−1. This group is isomorphic to SO(3), the group...

both the (countable) compactness property and the (downward) Löwenheim–Skolem property. Lindström's theorem is perhaps the best known result of what later...

also satisfies the axiom of constructibility V=L. The downward Löwenheim–Skolem theorem implies that the minimal model (if it exists as a set) is a countable...

form, with convergence in the stable case being to the steady-state value y* instead of to 0. Recurrence relation Linear differential equation Skolem–Mahler–Lech...

formal logic, where it is needed to find the conjunctive normal form and disjunctive normal form of a formula. Computer programmers use them to simplify...