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  2. List of PSPACE-complete problems - Wikipedia

    en.wikipedia.org/wiki/List_of_PSPACE-complete...

    Checkers if a draw is forced after a polynomial number of non-jump moves [3] Dyson Telescope Game [4] Cross Purposes [5] Geography; Two-player game version of Instant Insanity; Ko-free Go [6] Ladder capturing in Go [7] Gomoku [8] Hex [9] Konane [5] Lemmings [10] Node Kayles [11] Poset Game [12] Reversi [13] River Crossing [14] Rush Hour [14]

  3. List of NP-complete problems - Wikipedia

    en.wikipedia.org/wiki/List_of_NP-complete_problems

    Solvable in polynomial time for 2-sets (this is a matching). [2] [3]: SP2 Finding the global minimum solution of a Hartree-Fock problem [37] Upward planarity testing [8] Hospitals-and-residents problem with couples; Knot genus [38] Latin square completion (the problem of determining if a partially filled square can be completed)

  4. PSPACE-complete - Wikipedia

    en.wikipedia.org/wiki/PSPACE-complete

    In computational complexity theory, a decision problem is PSPACE-complete if it can be solved using an amount of memory that is polynomial in the input length (polynomial space) and if every other problem that can be solved in polynomial space can be transformed to it in polynomial time. The problems that are PSPACE-complete can be thought of ...

  5. NP-completeness - Wikipedia

    en.wikipedia.org/wiki/NP-completeness

    A polynomial-time problem can be very difficult to solve in practice if the polynomial's degree or constants are large enough. In addition, information-theoretic security provides cryptographic methods that cannot be broken even with unlimited computing power. "A large-scale quantum computer would be able to efficiently solve NP-complete problems."

  6. P versus NP problem - Wikipedia

    en.wikipedia.org/wiki/P_versus_NP_problem

    For these problems, it is very easy to tell whether solutions exist, but thought to be very hard to tell how many. Many of these problems are #P-complete, and hence among the hardest problems in #P, since a polynomial time solution to any of them would allow a polynomial time solution to all other #P problems.

  7. Millennium Prize Problems - Wikipedia

    en.wikipedia.org/wiki/Millennium_Prize_Problems

    The question is whether or not, for all problems for which an algorithm can verify a given solution quickly (that is, in polynomial time), an algorithm can also find that solution quickly. Since the former describes the class of problems termed NP, while the latter describes P, the question is equivalent to asking whether all problems in NP are ...