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 be described as an OR of ANDs, a sum of products, or — in philosophical logic — a cluster concept.[1] As a normal form, it is useful in automated theorem proving.
^Post 1921.
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In boolean logic, a disjunctivenormalform (DNF) is a canonical normalform of a logical formula consisting of a disjunction of conjunctions; it can also...
conjunction of one or more disjunctions of one or more literals. As in disjunctivenormalform (DNF), the only propositional operators in CNF are or ( ∨ {\displaystyle...
canonical disjunctivenormalform (CDNF) or minterm canonical form, and its dual, the canonical conjunctive normalform (CCNF) or maxterm canonical form. Other...
example is also in conjunctive normalform and the last two are in both conjunctive normalform and disjunctivenormalform, but the second example is in...
problem to disjunctivenormalform; for an example exchange "∧" and "∨" in the above exponential blow-up example for conjunctive normalforms. A variant...
method of indeterminate coefficients By constructing the canonical disjunctivenormalform By using tables Pascal method Summation method Using a Karnaugh...
Unlike other normalforms, it can be represented as a simple list of lists of variable names—conjunctive and disjunctivenormalforms also require recording...
NAND gate. Alternatively, an XOR gate is made by considering the disjunctivenormalform A⋅B¯+A¯⋅B{\displaystyle A\cdot {\overline {B}}+{\overline {A}}\cdot...
(software), a package manager for RPM-based Linux distributions Disjunctivenormalform, a standardization of a logical formula in boolean logic Dungeon...
but a disjunctive sequence need not be normal. A rich number in base b is one whose expansion in base b is disjunctive: one that is disjunctive to every...
readonly classes (whose instance properties are implicitly readonly), disjunctivenormalform (DNF) types, and the random extension, which provides a pseudorandom...
decision lists are less expressive than the general disjunctivenormalform and the conjunctive normalform. The language specified by a k-length decision...
is frequently used is the one where Boolean combinations are in disjunctivenormalform so that, e.g., {{q1},{q2,q3}}{\displaystyle \{\{q_{1}\},\{q_{2}...
F{\displaystyle F} is a quantifier-free formula, we can write it in disjunctivenormalform ⋁j=1m⋀i=1nLij,{\displaystyle \bigvee _{j=1}^{m}\bigwedge _{i=1}^{n}L_{ij}...
follows that a formula in conjunctive normalform (that is, an AND of ORs) becomes a formula in disjunctivenormalform (an OR and ANDs) under random restriction...
implicants of f. The Blake canonical form is a special case of disjunctivenormalform. The Blake canonical form is not necessarily minimal (upper diagram)...
\}} , which is shown to be truth-functionally complete by the DisjunctiveNormalForm Theorem. Bitwise NOR Boolean algebra Boolean domain Boolean function...