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 is a theorem on the existence and cardinality of models, named after Leopold Löwenheim and Thoralf Skolem. The precise formulation...

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...

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...

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

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...

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...

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...

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...

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

Intension Intersection (set theory) Inverse function Large cardinal Löwenheim–Skolem theorem Map (mathematics) Multiset Morse–Kelley set theory Naïve set theory...

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

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

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

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

Semi-intuitionistic system Skolem 1.  Thoralf Skolem 2.  Skolem's paradox states that if ZFC is consistent there are countable models of it 3.  A Skolem function is...

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

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...

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...

\varphi } in disjunctive normal form, the formula φ ¯ D {\displaystyle {\overline {\varphi }}^{D}} will be in conjunctive normal form, and given the result...