Examples of using Boolean formula in English and their translations into Portuguese
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Colloquial
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Official
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Medicine
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Financial
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Ecclesiastic
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Ecclesiastic
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Computer
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Official/political
Next we try to find a Boolean formula to simulate this.
A formula game is an artificial game represented by a fully quantified Boolean formula.
Each problem takes as input a Boolean formula as input and the task is to compute the number of satisfying assignments.
The converse, that SAT is reducible to CircuitSAT,is even easier-we simply rewrite the Boolean formula as a circuit and solve that.
A fully quantified Boolean formula can be assumed to have a very specific form, called prenex normal form.
If both quantifiers are allowed,the problem is called the quantified Boolean formula problem(QBF), which can be shown to be PSPACE-complete.
That is, any problem in NP can be reduced in polynomial time by a deterministic Turing machine to the problem of determining whether a Boolean formula is satisfiable.
The problem of determining whether a boolean formula in conjunctive normal form with two variables per clause is satisfiable.
It has two basic parts: a portion containing only quantifiers anda portion containing an unquantified Boolean formula usually denoted as formula_2.
MAJSAT is a decision problem in which one is given a Boolean formula F. The answer must be YES if more than half of all assignments x1, x2,…, xn make F true and NO otherwise.
In 2006 the SAT Conference hosted the first MAX-SAT evaluation comparing performance of practical solvers for MAX-SAT,as it has done in the past for the pseudo-boolean satisfiability problem and the quantified boolean formula problem.
In brief, an instance of the FORMULA-GAME problem consists of a quantified Boolean formula φ∃x1∀x2∃x3… Qxk(ψ) where Q is either∃ or∀.
A(fully) quantified Boolean formula is a formula in quantified propositional logic where every variable is quantified(or bound), using either existential or universal quantifiers, at the beginning of the sentence.
One should not confuse this kind of problem with checking if a quantified boolean formula is true, which is the definition of QBF, which is PSPACE-complete.
In computational complexity theory,the quantified Boolean formula problem(QBF) is a generalization of the Boolean satisfiability problem in which both existential quantifiers and universal quantifiers can be applied to each variable.
An important set of problems in computational complexity involves finding assignments to the variables of a boolean formula expressed in Conjunctive Normal Form, such that the formula is true.
Unambiguous-SAT is the promise problem of deciding whether a given Boolean formula that has at most one satisfying assignment is unsatisfiable or has exactly one satisfying assignment.
The Tseytin transformation,alternatively written Tseitin transformation takes as input an arbitrary combinatorial logic circuit and produces a boolean formula in conjunctive normal form(CNF), which can be solved by a CNF-SAT solver.
Perhaps the simplest problem for alternating machines to solve is the quantified Boolean formula problem, which is a generalization of the Boolean satisfiability problem in which each variable can be bound by either an existential or a universal quantifier.
In computational complexity theory, the maximum satisfiability problem(MAX-SAT) is the problem of 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 variables of the formula. .
The archetypal PSPACE-complete problem is generally taken to be the quantified Boolean formula problem(usually abbreviated to QBF or TQBF; the T stands for"true"), a generalization of the first known NP-complete problem, the Boolean satisfiability problem SAT.
The k-SAT problem is the problem of finding a satisfying assignment to a boolean formula expressed in CNF in which each disjunction contains at most k variables.
It is important to note that while TQBF the language is defined as the collection of true quantified Boolean formulas, the abbreviation TQBF is often used(even in this article)to stand for a totally quantified Boolean formula, often simply called a QBF quantified Boolean formula, understood as"fully" or"totally" quantified.
Here, Weighted t-Normalize SAT is the following problem:Input: A Boolean formula of depth at most t with an AND-gate on top, and a number k.
It is important to note that while TQBF the language is defined as the collection of true quantified Boolean formulas, the abbreviation TQBF is often used(even in this article) to stand for a totally quantified Boolean formula, often simply called a QBF quantified Boolean formula, understood as"fully" or"totally" quantified.
Weighted Weft-t-Depth-d SAT is the following problem:Input: A Boolean formula of depth at most d and weft at most t, and a number k.
One simple example of a co-NP-complete problem is tautology,the problem of determining whether a given Boolean formula is a tautology; that is, whether every possible assignment of true/false values to variables yields a true statement.
As a consequence of this theorem,it can be shown that the solutions to many natural optimization problems including maximum boolean formula satisfiability, maximum independent set in graphs, and the shortest vector problem for lattices cannot be approximated efficiently unless P NP.
