Examples of using Decision problem in English and their translations into Romanian
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Following decision problems.
Decision problems: green suppliers selection.
Finite Automata and Their Decision Problem".
The clique decision problem is NP-complete.
Numerical methods and algorithms for solving stochastic dynamic decision problems/ Projects/ IMCS.
That is a decision problem, and happens to be NP-complete.
Web site design is a frozen glass,his background depict figures who are concerned about the decision problem of loneliness in the Christmas party.
NP-equivalent Decision problems that are both NP-hard and NP-easy, but not necessarily in NP.
The problem of finding a Hamiltonian cycle orpath is in FNP; the analogous decision problem is to test whether a Hamiltonian cycle or path exists.
The clique decision problem is NP-complete(one of Karp's 21 NP-complete problems). .
CiteSeerX 10.1.1.53.1991. E. Post, 1944,"Recursively enumerable sets of positive integers and their decision problems", Bulletin of the American Mathematical Society, volume 50, pages 284- 316.
There are decision problems that are NP-hard but not NP-complete, for example the halting problem. .
NP-intermediate If P and NP are different,then there exist decision problems in the region of NP that fall between P and the NP-complete problems. .
The decision problem form of the knapsack problem(Can a value of at least V be achieved without exceeding the weight W?).
The word problem for a finitely generated group is the decision problem whether two words in the generators of the group represent the same element.
The decision problems: check if a statement is a theorem or if a statement is a logical consequence of a set of axioms and hypotheses;
Because this property is monotone, there must exist a monotone circuit,using only and gates and or gates, to solve the clique decision problem for a given fixed clique size.
Phrased as a decision problem, it is the problem of deciding whether the input has a prime factor less than k.
This is the problem which asks"given a program and its input, will it run forever?" Thatis a yes/no question, so this is a decision problem.
Conceptually speaking, a decision problem is a problem that takes as input some string w over an alphabet Σ, and outputs"yes" or"no".
In continuation of his"program", Hilbert posed three questions at an international conference in 1928, the third of which became known as"Hilbert's Entscheidungsproblem."[4] In 1929,Moses Schönfinkel published one paper on special cases of the decision problem, that was prepared by Paul Bernays.[5].
Viewing a decision problem as a formal language in some fixed encoding, the set NPC of all NP-complete problems is not closed under.
To study proof methods, specific to propositional and first-order logics, which solve the decision problems: check if a statement is a theorem or if a statement is a logical consequence of a set of axioms and hypotheses;
The clique decision problem is not of practical importance; it is formulated in this way in order to apply the theory of NP-completeness to clique-finding problems. .
On the other hand, if an algorithm finds the optimal value of the optimization problem in polynomial time,then the decision problem can be solved in polynomial time by comparing the value of the solution output by this algorithm with the value of k.
The decision problem form of the knapsack problem(Can a value of at least V be achieved without exceeding the weight W?) is NP-complete, thus there is no known algorithm both correct and fast(polynomial-time) on all cases.
It does not restrict the class NP-hard to decision problems, for instance it also includes search problems, or optimization problems. .
Common formulations of the clique problem include finding a maximum clique(a clique with the largest possible number of vertices), finding a maximum weight clique in a weighted graph, listing all maximal cliques(cliques that cannot be enlarged),and solving the decision problem of testing whether a graph contains a clique larger than a given size.
If one could solve it,one could also solve the decision problem, by comparing the size of the maximum clique to the size parameter given as input in the decision problem.
It was one of Richard Karp's original 21 problems shown NP-complete in his 1972 paper"Reducibility Among Combinatorial Problems".[60] This problem was also mentioned in Stephen Cook's paper introducing the theory of NP-complete problems.[61] Because of the hardness of the decision problem, the problem of finding a maximum clique is also NP-hard.