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 a disjunction of literals; otherwise put, it is a product of sums or an AND of ORs. As a canonical normal form, it is useful in automated theorem proving and circuit theory.
In automated theorem proving, the notion "clausal normal form" is often used in a narrower sense, meaning a particular representation of a CNF formula as a set of sets of literals.
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In Boolean logic, a formula is in conjunctivenormalform (CNF) or clausal normalform if it is a conjunction of one or more clauses, where a clause is...
disjunctive normalform (CDNF) or minterm canonical form, and its dual, the canonical conjunctivenormalform (CCNF) or maxterm canonical form. Other canonical...
conjunction appears at most once (up to the order of variables). As in conjunctivenormalform (CNF), the only propositional operators in DNF are and ( ∧ {\displaystyle...
first example is also in conjunctivenormalform and the last two are in both conjunctivenormalform and disjunctive normalform, but the second example...
determining the maximum number of clauses, of a given Boolean formula in conjunctivenormalform, that can be made true by an assignment of truth values to the...
file extension .cnf, .conf, .cfg, .cf, or .ini Conjunctivenormalform, also known as clausal normalform, in Boolean logic Constant weight without fins...
logic circuit and produces an equisatisfiable boolean formula in conjunctivenormalform (CNF). The length of the formula is linear in the size of the circuit...
include: Detecting whether a clause in an unsatisfiable formula in conjunctivenormalform belongs to some minimally unsatisfiable subset and whether a clause...
deciding the satisfiability of propositional logic formulae in conjunctivenormalform, i.e. for solving the CNF-SAT problem. It was introduced in 1961...
constraints. SAT solvers often begin by converting a formula to conjunctivenormalform. They are often based on core algorithms such as the DPLL algorithm...
NOR gate. Alternatively, an XNOR gate is made by considering the conjunctivenormalform ( A + B ¯ ) ⋅ ( A ¯ + B ) {\displaystyle (A+{\overline {B}})\cdot...
equisatisfiability are Skolemization and some translations into conjunctivenormalform such as the Tseytin transformation. A translation from propositional...
co-NP-complete to decide whether a Boolean function given in disjunctive or conjunctivenormalform is linearly separable. Classifying data is a common task in machine...
These three forms are also called cpl-clauses, box-clauses and dia-clauses respectively. Note that any clause in conjunctivenormalform (CNF) is also...
problem in which the input to the problem is a Boolean expression in conjunctivenormalform (that is, an and of ors of variables and their negations) with...
deciding the satisfiability of propositional logic formulae in conjunctivenormalform Delay-locked loop, a device to reduce clock skew in digital circuits...
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