In boolean logic, a disjunctive normal form (DNF) is a canonical normal form of a logical formula consisting of a disjunction of conjunctions; it can also...

Boolean function can be expressed in the canonical disjunctive normal form (CDNF), minterm canonical form, or Sum of Products (SoP or SOP) as a disjunction...

problem to disjunctive normal form; to obtain an example, exchange "∧" and "∨" in the above exponential blow-up example for conjunctive normal forms. Another...

conjunction of one or more disjunctions of one or more literals. As in disjunctive normal form (DNF), the only propositional operators in CNF are or ( ∨ {\displaystyle...

example is also in conjunctive normal form, the next two are in both conjunctive normal form and disjunctive normal form, but the last example is in neither...

with the normal forms in propositional logic (e.g. disjunctive normal form or conjunctive normal form), it provides a canonical normal form useful in...

logic: Normal form (natural deduction) Algebraic normal form Canonical normal form Clausal normal form Conjunctive normal form Disjunctive normal form Negation...

method of indeterminate coefficients By constructing the canonical disjunctive normal form By using tables Pascal method Summation method Using a Karnaugh...

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

Unlike other normal forms, it can be represented as a simple list of lists of variable names—conjunctive and disjunctive normal forms also require recording...

NAND gate. Alternatively, an XOR gate is made by considering the disjunctive normal form A ⋅ B ¯ + A ¯ ⋅ B {\displaystyle A\cdot {\overline {B}}+{\overline...

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

of the CPLD is a macrocell, which contains logic implementing disjunctive normal form expressions and more specialized logic operations. Some of the...

decision lists are less expressive than the general disjunctive normal form and the conjunctive normal form. The language specified by a k-length decision...

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

is frequently used is the one where Boolean combinations are in disjunctive normal form so that, e.g., { { q 1 } , { q 2 , q 3 } } {\displaystyle \{\{q_{1}\}...

readonly classes (whose instance properties are implicitly readonly), disjunctive normal form (DNF) types, and the random extension, which provides a pseudorandom...

follows that a formula in conjunctive normal form (that is, an AND of ORs) becomes a formula in disjunctive normal form (an OR of ANDs) under random restriction...

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

the disjunctive normal form approach wherein the logical expressions describing the system's behavior are transformed into the disjunctive normal form. Constraint...

\}} , which is shown to be truth-functionally complete by the Disjunctive Normal Form Theorem. Expressed in terms of NAND ↑ {\displaystyle \uparrow }...

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...

(software), a package manager for RPM-based Linux distributions Disjunctive normal form, a standardization of a logical formula in boolean logic Dungeon...

parsimonious. Therefore, this problem is #P-complete as well. For disjunctive normal form (DNF) formulas, counting the solutions is also #P-complete, even...

\}} , which is shown to be truth-functionally complete by the Disjunctive Normal Form Theorem. This may also be seen from the fact that Logical NOR does...

{\displaystyle F} is a quantifier-free formula, we can write it in disjunctive normal form ⋁ j = 1 m ⋀ i = 1 n L i j , {\displaystyle \bigvee _{j=1}^{m}\bigwedge...

functions: Negation normal form, an arbitrary mix of AND and ORs of the arguments and their complements Disjunctive normal form, as an OR of ANDs of...

problems. Determining the satisfiability of a Boolean formula in disjunctive normal form is easy: such a formula is satisfiable if and only if it contains...

satisfies all clauses, it is in PO. If all clauses, when converted to disjunctive normal form, have two terms, one consisting of all positive (unnegated) variables...

and only if every prime implicant of the disjunctive normal form and every clause of the conjunctive normal form have exactly one variable in common. It...