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  2. List of unsolved problems in computer science - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    NC = P problem The P vs NP problem is a major unsolved question in computer science that asks whether every problem whose solution can be quickly verified by a computer (NP) can also be quickly solved by a computer (P). This question has profound implications for fields such as cryptography, algorithm design, and computational theory.

  3. List of undecidable problems - Wikipedia

    en.wikipedia.org/wiki/List_of_undecidable_problems

    The problem of determining if a given set of Wang tiles can tile the plane. The problem of determining the Kolmogorov complexity of a string. Hilbert's tenth problem: the problem of deciding whether a Diophantine equation (multivariable polynomial equation) has a solution in integers.

  4. Category:Unsolved problems in computer science - Wikipedia

    en.wikipedia.org/wiki/Category:Unsolved_problems...

    Pages in category "Unsolved problems in computer science" The following 33 pages are in this category, out of 33 total. This list may not reflect recent changes .

  5. List of NP-complete problems - Wikipedia

    en.wikipedia.org/wiki/List_of_NP-complete_problems

    The problem for graphs is NP-complete if the edge lengths are assumed integers. The problem for points on the plane is NP-complete with the discretized Euclidean metric and rectilinear metric. The problem is known to be NP-hard with the (non-discretized) Euclidean metric. [3]: ND22, ND23

  6. Pancake sorting - Wikipedia

    en.wikipedia.org/wiki/Pancake_sorting

    In 2008, a group of undergraduates built a bacterial computer that can solve a simple example of the burnt pancake problem by programming E. coli to flip segments of DNA which are analogous to burnt pancakes. DNA has an orientation (5' and 3') and an order (promoter before coding).

  7. Computational problem - Wikipedia

    en.wikipedia.org/wiki/Computational_problem

    For example, in the factoring problem, the instances are the integers n, and solutions are prime numbers p that are the nontrivial prime factors of n. An example of a computational problem without a solution is the Halting problem. Computational problems are one of the main objects of study in theoretical computer science.

  8. Cigarette smokers problem - Wikipedia

    en.wikipedia.org/wiki/Cigarette_smokers_problem

    The agent code is not modifiable. The solution is not allowed to use conditional statements. Patil used a proof in terms of Petri nets to claim that a solution to the cigarette smokers problem using Edsger Dijkstra's semaphore primitives is impossible, and to suggest that a more powerful primitive is necessary.

  9. Stable roommates problem - Wikipedia

    en.wikipedia.org/wiki/Stable_roommates_problem

    a:(b,c,d), b:(c,a,d), c:(a,b,d), d:(a,b,c) In this ranking, each of A, B, and C is the most preferable person for someone. In any solution, one of A, B, or C must be paired with D and the other two with each other (for example AD and BC), yet for anyone who is partnered with D, another member will have rated them highest, and D's partner will ...