10 which of the following best describes the existence of undecidable problems? Advanced Guide
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Undecidable Problems — Gareth Jones / Serious Science
Undecidable Problems — Gareth Jones / Serious Science
Undecidable Problems — Gareth Jones / Serious Science
SOLVED: Which of the following best describes the existence of undecidable problems? A. Undecidable problems are problems for which more than one algorithm solves the problem and computer scientists h [1]
Get 5 free video unlocks on our app with code GOMOBILE. Which of the following best describes the existence of undecidable problems?
Undecidable problems are problems for which an algorithm can be written that will produce the same output for at least two possible inputs. Undecidable problems are problems for which an algorithm can be written that produces a correct output for all inputs but in an unreasonable time
‘Which of the following best explains the ability to solve problems algorithmically?Any problem can be solved algorithmically; though some algorithmic solutions may require humans to validate the resultsAny problem can be solved algorithmically; though some algorithmic solutions must be executed on multiple devices in parallel.Any problem can be solved algorithmically; though some algorithmic solutions require very large amount of data storage to execute:There exist some problems that cannot be solved algorithmically using any computer:’. ‘Which of the following statements is true?Every problem can be solved with an algorithm for all possible inputs, in a reasonable amount of time, using a modern computer:Every problem can be solved with an algorithm for all possible inputs, but some will take more than 100 years, even with the fastest possible computer:Every problem can be solved with an algorithm for all possible inputs, but some of these algorithms have not been discovered yet:There exist problems that no algorithm will ever be able to solve for all possible inputs_’
Decidable and Undecidable problems in Theory of Computation [2]
Decidable and Undecidable problems in Theory of Computation. A problem is said to be Decidable if we can always construct a corresponding algorithm that can answer the problem correctly
Suppose we are asked to compute all the prime numbers in the range of 1000 to 2000. To find the solution of this problem, we can easily devise an algorithm that can enumerate all the prime numbers in this range.
It is also important to know that these problems are termed as Turing Decidable since a Turing machine always halts on every input, accepting or rejecting it.. Semi-Decidable problems are those for which a Turing machine halts on the input accepted by it but it can either halt or loop forever on the input which is rejected by the Turing Machine
Unit 5 Lab 4: Unsolvable and Undecidable Problems, Page 2 [3]
I’d love to keep it (and see if we can simplify writing even further), but reasoning by contradiction is notoriously hard in all contexts (though, perhaps, page 1 sets it up well enough?) and it isn’t obvious that doing it in a programming context would be easier. In fact, the unfamiliarity and extra layer of technicality might make it harder
And, I think Church actually proved it before Turing, but we should check. MF: I want to review this page just because the idea deserves it
By this point in the course, you’ve experienced the frustration of debugging a program. It would be great if there were a general-purpose debugging program that could read any code and determine if there were bugs
Unit 6 Ap Computer Science Principles — I Hate CBT’s [4]
Question: Which of the following is true of algorithms?. Answer: Every algorithm can be constructed using combinations of sequencing, selection, and iteration.
Which concept does this algorithm best demonstrate?. Question: Which of these algorithms will move the robot along the same path as the algorithm below?
The planners are deciding where to put the different bus stops. They want to pick a set of bus stop locations that will minimize the distance anyone needs to walk in order to get to any bus stop in town
Decoding Patterns of Success [5]
In 1928, the mathematician David Hilbert posed a challenge he called the Entscheidungsproblem (which translates to “decision problem”).. Roughly speaking, the problem asks whether there exists an effective procedure (what we would today call an “algorithm”) that can take as input a set of axioms and a mathematical statement, and then decide whether or not the statement can be proved using those axioms and standard logic rules.
In this paper, Turing proved that there exists problems that cannot be solved systematically (i.e., with an algorithm). He then argued that if you could solve Hilbert’s decision problem, you could use this powerful proof machine to solve one of these unsolvable problems: a contradiction!
Over time, theoreticians enumerated many problems that cannot be solved using a fixed series of steps. These came to be known as undecidable problems, while those that can be solved mechanistically were called decidable.
Undecidable problems [6]
Some problems take a very long time to solve, so we use algorithms that give approximate solutions. There are some problems that a computer can never solve, even the world’s most powerful computer with infinite time: the undecidable problems.
Alan Turing proved the existence of undecidable problems in 1936 by finding an example, the now famous “halting problem”:. Based on its code and an input, will a particular program ever finish running?
num ← 10 REPEAT UNTIL (num = 0) { DISPLAY(num) num ← num – 1 }. num ← 1 REPEAT UNTIL (num = 0) { DISPLAY(num) num ← num + 1 }
Unit 5 Lab 4: Unsolvable and Undecidable Problems, Page 2 [7]
I’d love to keep it (and see if we can simplify writing even further), but reasoning by contradiction is notoriously hard in all contexts (though, perhaps, page 1 sets it up well enough?) and it isn’t obvious that doing it in a programming context would be easier. In fact, the unfamiliarity and extra layer of technicality might make it harder
And, I think Church actually proved it before Turing, but we should check. MF: I want to review this page just because the idea deserves it
By this point in the course, you’ve experienced the frustration of debugging a program. It would be great if there were a general-purpose debugging program that could read any code and determine if there were bugs
Undecidable Problems [8]
If a Turing machine can solve any problem that can be solved by algorithms, then we can exploit TMs to explore the boundaries of what is and is not computable.. The class of undecidable problems represent the fundamental limits of what we can accomplish with digital computers.
We are ready to directly address the fundamental question of what can be computed and what cannot.. We remain focused on decision problems, problems have a yes/no or true/false answer.
A problem is considered decidable or recursive if it can be solved by an algorithm, a Turing Machine that halts on all inputs after a finite amount of time.. This means that whether the answer to the problem is true or false, we will get an answer eventually.
Talk:Decidability (logic) [9]
|This article is of interest to the following WikiProjects:|. However this wikipedia article List of first-order theories says that Abelian group theory is decidable
Can someone please clarify? — Preceding unsigned comment added by 72.48.98.27 (talk) 18:25, 4 January 2013 (UTC). If a system is undecidable, then there exist in it formulas which are not known to be either valid or invalid—perhaps such a formula can be categorized as neither valid nor invalid
If a theory is decidable, the algotithm in question can split any set of formulae in deducible (true, valid) and other. The idea of others being either invalid (false?) or indefinite (neither true nor false) comes from another concept.
Top MCQs on NP Complete Complexity with Answers [10]
The answer is B (no NP-Complete problem can be solved in polynomial time). Because, if one NP-Complete problem can be solved in polynomial time, then all NP problems can solved in polynomial time
If X can be solved deterministically in polynomial time, then P = NP.. The Boolean satisfiability problem (SAT) is a decision problem, whose instance is a Boolean expression written using only AND, OR, NOT, variables, and parentheses.
A formula of propositional logic is said to be satisfactory if logical values can be assigned to its variables to make the formula true. 3-SAT and 2-SAT are special cases of k-satisfiability (k-SAT) or simply satisfiability (SAT) when each clause contains exactly k = 3 and k = 2 literals respectively
Sources
- https://www.numerade.com/ask/question/which-of-the-following-best-describes-the-existence-of-undecidable-problems-a-undecidable-problems-are-problems-for-which-more-than-one-algorithm-solves-the-problem-and-computer-scientists-h-17086/#:~:text=Instant%20Text%20Answer&text=A%3A%20Option%20D%20best%20describes,always%20produces%20a%20correct%20output.
- https://www.geeksforgeeks.org/decidable-and-undecidable-problems-in-theory-of-computation/
- https://bjc.edc.org/bjc-r/cur/programming/5-algorithms/4-unsolvable-undecidable/2-halting-problem.html#:~:text=An%20unsolvable%20problem%20is%20one,decision%20for%20every%20input%20value.
- https://www.ihatecbts.com/questions-answers/2023/7/27/unit-6-ap-computer-science-principles
- https://calnewport.com/blog/?offset=510&year=2014&limit=15&reviews_page=2&hubs_content=offers.hubspot.com%2525252525252Fcontact-us-about-partners-program&source=post_stats_page—————————&hubs_content-cta=Email%25252525252520Tracking%25252525252520Software%252520%252520%252520%252520%252520%252520%252520%252520%252520
- https://www.khanacademy.org/computing/ap-computer-science-principles/algorithms-101/solving-hard-problems/a/undecidable-problems
- https://bjc.edc.org/bjc-r/cur/programming/5-algorithms/4-unsolvable-undecidable/2-halting-problem.html
- https://www.cs.odu.edu/~zeil/cs390/latest/Public/undecidable/index.html
- https://en.wikipedia.org/wiki/Talk%3ADecidability_(logic)
- https://www.geeksforgeeks.org/algorithms-gq/top-mcqs-on-np-complete-complexity-with-answers/
