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...

In Boolean logic, 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 is...

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

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

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

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

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

of the vocabulary σ. The Herbrand universe of a closed formula in Skolem normal form F is the set of all terms without variables that can be constructed...

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

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...

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

Thoralf Skolem, turned out to be that of first-order logic. Most sets commonly encountered are not members of themselves. Let us call a set "normal" if it...

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...

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...

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

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...

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,...

tautology of propositional logic. Algebraic normal form Conjunctive normal form Disjunctive normal form Logic optimization Weisstein, Eric W. "Tautology"...

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...

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...

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

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...

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

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...

Borel and Thoralf Skolem. Borel explicitly linked du Bois-Reymond's work to Cauchy's work on rates of growth of infinitesimals. Skolem developed the first...

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

for true (1) and false (0), then logical conjunction works exactly like normal arithmetic multiplication. In high-level computer programming and digital...