A decision problem is any arbitrary yes-or-no question on an infinite set of inputs. Because of this, it is traditional to define the decision problem equivalently as the set of inputs for which the problem returns yes. These inputs can be natural numbers, but also other values of some other kind, such as strings of a formal language. Using some encoding, such as a Gödel numbering, the strings can be encoded as natural numbers. Thus, a decision problem informally phrased in terms of a formal language is also equivalent to a set of natural numbers. To keep the formal definition simple, it is phrased in terms of subsets of the natural numbers.
Formally, a decision problem is a subset of the natural numbers. The corresponding informal problem is that of deciding whether a given number is in the set. A decision problem A is called decidable or effectively solvable if A is a recursive set. A problem is called partially decidable, semi-decidable, solvable, or provable if A is a recursively enumerable set. This means that there exists an algorithm that halts eventually when the answer is yes but may run for ever if the answer is no. Partially decidable problems and any other problems that are not decidable are called undecidable.
David Parker, R-Olive Branch, who filed legislation to set up a water board authority during the past two sessions, is undecided on whether he will again go after such a plan ... problem," Parker said.
We might call this problem Tony Soprano Syndrome, after the patron saint of flawed antihero protagonists. One undecided voter told a New York Times focus group earlier this year that Trump is “the ...
But the problems that come with a slim House majority and plagued Johnson's first year as speaker when his own ranks routinely revolted over his plans are likely to spill into the new year, with a potential fresh round of chaotic governing.
The problems that come with a slim House majority and plagued Johnson’s first year as speaker when his own ranks routinely revolted over his plans are likely to spill into the new year, with a potential fresh round of chaotic governing.
But the problems that come with a slim House majority and plagued Johnson's first year as speaker when his own ranks routinely revolted over his plans are likely to spill into the new year, with a potential fresh round of chaotic governing.
But the problems that come with a slim House majority and plagued Johnson’s first year as speaker when his own ranks routinely revolted over his plans are likely to spill into the new year, with a potential fresh round of chaotic governing.
But the problems that come with a slim House majority and plagued Johnson's first year as speaker when his own ranks routinely revolted over his plans are likely to spill into the new year, with a potential fresh round of chaotic governing.
But the problems that come with a slim House majority and plagued Johnson's first year as speaker when his own ranks routinely revolted over his plans are likely to spill into the new year, with a potential fresh round of chaotic governing.
... a festival of racism and conspiracy theories, as at Madison Square Garden , is not about convincing any undecided voter, but motivating committed Trumpists to go along with another coup attempt.
... a festival of racism and conspiracy theories, as at Madison Square Garden, is not about convincing any undecided voter, but motivating committed Trumpists to go along with another coup attempt.
But it’s estimated that around 17 percent of potential voters are still undecided ... what would I say to an undecided friend over a coffee at PrevailUnion downtown between now and Election Day? I imagine it might go something like this. ... Undecided.
During his 50-minute speech, Obama addressed concerns about the economy, cast Trump as a man without a plan and made his pitch final to undecided voters ... made his pitch to undecided voters.
Trump's critics fear this could lead to problems including breaking up families and giving law enforcement too much power. It remains unknown what undecided voters will do. "Many undecided ...
Trump's critics fear this could lead to problems including breaking up families and giving law enforcement too much power. It remains unknown what undecided voters will do. "Many undecided voters will ...
Chatanooga Times Free Press
14 Nov 2024
Chatanooga Times Free Press
14 Nov 2024