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  2. Nondeterministic algorithm - Wikipedia

    en.wikipedia.org/wiki/Nondeterministic_algorithm

    For these models, a nondeterministic algorithm is considered to perform correctly when, for each input, there exists a run that produces the desired result, even when other runs produce incorrect results. This existential power makes nondeterministic algorithms of this sort more efficient than known deterministic algorithms for many problems.

  3. NP (complexity) - Wikipedia

    en.wikipedia.org/wiki/NP_(complexity)

    These two definitions are equivalent because the algorithm based on the Turing machine consists of two phases, the first of which consists of a guess about the solution, which is generated in a nondeterministic way, while the second phase consists of a deterministic algorithm that verifies whether the guess is a solution to the problem. [3]

  4. Nondeterministic programming - Wikipedia

    en.wikipedia.org/wiki/Nondeterministic_programming

    A nondeterministic programming language is a language which can specify, at certain points in the program (called "choice points"), various alternatives for program flow. ...

  5. Nondeterministic Turing machine - Wikipedia

    en.wikipedia.org/wiki/Nondeterministic_Turing...

    Comparison of deterministic and nondeterministic computation. In contrast to a deterministic Turing machine, in a nondeterministic Turing machine (NTM) the set of rules may prescribe more than one action to be performed for any given situation. For example, an X on the tape in state 3 might allow the NTM to: Write a Y, move right, and switch to ...

  6. Nondeterministic finite automaton - Wikipedia

    en.wikipedia.org/wiki/Nondeterministic_finite...

    NFAs are used in the implementation of regular expressions: Thompson's construction is an algorithm for compiling a regular expression to an NFA that can efficiently perform pattern matching on strings. Conversely, Kleene's algorithm can be used to convert an NFA into a regular expression (whose size is generally exponential in the input ...

  7. NP-hardness - Wikipedia

    en.wikipedia.org/wiki/NP-hardness

    Class of computational decision problems for which any given yes-solution can be verified as a solution in polynomial time by a deterministic Turing machine (or solvable by a non-deterministic Turing machine in polynomial time). NP-hard Class of problems which are at least as hard as the hardest problems in NP.

  8. P versus NP problem - Wikipedia

    en.wikipedia.org/wiki/P_versus_NP_problem

    In this theory, the class P consists of all decision problems (defined below) solvable on a deterministic sequential machine in a duration polynomial in the size of the input; the class NP consists of all decision problems whose positive solutions are verifiable in polynomial time given the right information, or equivalently, whose solution can ...

  9. Thompson's construction - Wikipedia

    en.wikipedia.org/wiki/Thompson's_construction

    In computer science, Thompson's construction algorithm, also called the McNaughton–Yamada–Thompson algorithm, [1] is a method of transforming a regular expression into an equivalent nondeterministic finite automaton (NFA). [2] This NFA can be used to match strings against the regular expression. This algorithm is credited to Ken Thompson.