• In Boolean algebra, 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...
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  • generalized conjunctive normal form formula, viz. as a conjunction of arbitrarily many generalized clauses, the latter being of the form R(l1,...,ln)...
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  • canonical conjunctive normal form (CCNF), maxterm canonical form, or Product of Sums (PoS or POS) which is a conjunction (AND) of maxterms. These forms can...
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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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  • first 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...
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  • conjunction appears at most once (up to the order of variables). As in conjunctive normal form (CNF), the only propositional operators in DNF are and ( ∧ {\displaystyle...
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  • \varphi } in disjunctive normal form, the formula φ ¯ D {\displaystyle {\overline {\varphi }}^{D}} will be in conjunctive normal form, and given the result...
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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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  • normal form. Reed–Muller expansion Zhegalkin normal form Boolean function Logical graph Zhegalkin polynomial Negation normal form Conjunctive normal form...
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  • file extension .cnf, .conf, .cfg, .cf, or .ini Conjunctive normal form, also known as clausal normal form, in Boolean logic Constant weight without fins...
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  • determining the maximum number of clauses, of a given Boolean formula in conjunctive normal form, that can be made true by an assignment of truth values to the...
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  • proved (the conjecture) are conjunctively connected. The resulting sentence is transformed into a conjunctive normal form with the conjuncts viewed as...
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  • NP-complete variant of the Boolean satisfiability problem. Given a conjunctive normal form with three literals per clause, the problem is to determine whether...
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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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  • Thumbnail for Canonical form
    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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  • logic circuit and produces an equisatisfiable boolean formula in conjunctive normal form (CNF). The length of the formula is linear in the size of the circuit...
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  • logic, given an unsatisfiable Boolean propositional formula in conjunctive normal form, a subset of clauses whose conjunction is still unsatisfiable is...
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  • typically expressed as Boolean formulas of a special type, called conjunctive normal form (2-CNF) or Krom formulas. Alternatively, they may be expressed...
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  • equisatisfiability are Skolemization and some translations into conjunctive normal form such as the Tseytin transformation. A translation from propositional...
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  • include: Detecting whether a clause in an unsatisfiable formula in conjunctive normal form belongs to some minimally unsatisfiable subset and whether a clause...
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  • has exactly k literals, each with distinct variables, and is in conjunctive normal form. These are called k-CNF formulas. The problem is to determine the...
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  • expert created manual conjunctive normal form queries has shown that searchonym expansion in the Boolean conjunctive normal form is much more effective...
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  • problem 3SAT (the Boolean satisfiability problem for expressions in conjunctive normal form (CNF) with exactly three variables or negations of variables per...
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  • definition mostly appears in proof theory (of classical logic), e.g. in conjunctive normal form and the method of resolution. Literals can be divided into two...
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  • negation of the corresponding conditional derive a theorem in conjunctive normal form in the methodical fashions described in text books. If, and only...
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  • constraints. SAT solvers often begin by converting a formula to conjunctive normal form. They are often based on core algorithms such as the DPLL algorithm...
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  • it 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...
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  • Thumbnail for DPLL algorithm
    deciding the satisfiability of propositional logic formulae in conjunctive normal form, i.e. for solving the CNF-SAT problem. It was introduced in 1961...
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  • special expressions, the conjunctive normal form and disjunctive normal form. For monotone functions these two special forms can also be restricted to...
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  • satisfiability problem (SAT) where the formula is restricted to conjunctive normal form and to at most k literals per clause, where k is fixed. An analogous...
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