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Disjunctive normal form information


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.

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Disjunctive normal form

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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...

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Conjunctive normal form

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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...

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Canonical normal form

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canonical disjunctive normal form (CDNF) or minterm canonical form, and its dual, the canonical conjunctive normal form (CCNF) or maxterm canonical form. Other...

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Normal form

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

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Prenex normal form

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

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Negation normal form

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example is also in conjunctive normal form and the last two are in both conjunctive normal form and disjunctive normal form, but the second example is in...

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Boolean satisfiability problem

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

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Zhegalkin polynomial

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

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Canonical form

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

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Algebraic normal form

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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...

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NAND logic

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

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DNF

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

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Complex programmable logic device

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

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Propositional formula

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

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Boolean function

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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...

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Normal number

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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...

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PHP

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

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Decision list

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

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Alternating finite automaton

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is frequently used is the one where Boolean combinations are in disjunctive normal form so that, e.g., {{q1},{q2,q3}}{\displaystyle \{\{q_{1}\},\{q_{2}...

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Quantifier elimination

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

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Switching lemma

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

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Sheffer stroke

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\}} , which is shown to be truth-functionally complete by the Disjunctive Normal Form Theorem. Boolean domain CMOS Gate equivalent (GE) Logical graph...

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Blake canonical form

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implicants of f. The Blake canonical form is a special case of disjunctive normal form. The Blake canonical form is not necessarily minimal (upper diagram)...

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Logical NOR

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\}} , which is shown to be truth-functionally complete by the Disjunctive Normal Form Theorem. Bitwise NOR Boolean algebra Boolean domain Boolean function...

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