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2. Boolean satisfiability problem - Wikipedia

   en.wikipedia.org/wiki/Boolean_satisfiability_problem

   The formula resulting from transforming all clauses is at most 3 times as long as its original; that is, the length growth is polynomial. [10] 3-SAT is one of Karp's 21 NP-complete problems, and it is used as a starting point for proving that other problems are also NP-hard. [b] This is done by polynomial-time reduction from 3-SAT to the other ...

3. P versus NP problem - Wikipedia

   en.wikipedia.org/wiki/P_versus_NP_problem

   Here, "quickly" means an algorithm that solves the task and runs in polynomial time (as opposed to, say, exponential time) exists, meaning the task completion time is bounded above by a polynomial function on the size of the input to the algorithm. The general class of questions that some algorithm can answer in polynomial time is "P" or "class ...

4. NP (complexity) - Wikipedia

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

   In computational complexity theory, NP (nondeterministic polynomial time) is a complexity class used to classify decision problems. NP is the set of decision problems for which the problem instances , where the answer is "yes", have proofs verifiable in polynomial time by a deterministic Turing machine , or alternatively the set of problems ...

5. NP-completeness - Wikipedia

   en.wikipedia.org/wiki/NP-completeness

   However, unless P=NP, any polynomial-time algorithm must asymptotically be wrong on more than polynomially many of the exponentially many inputs of a certain size. [14] "If P=NP, all cryptographic ciphers can be broken." A polynomial-time problem can be very difficult to solve in practice if the polynomial's degree or constants are large enough.

6. NC (complexity) - Wikipedia

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

   NC i is the class of decision problems decidable by uniform boolean circuits with a polynomial number of gates of at most two inputs and depth O((log n) i), or the class of decision problems solvable in time O((log n) i) on a parallel computer with a polynomial number of processors. Clearly, we have

7. Horner's method - Wikipedia

   en.wikipedia.org/wiki/Horner's_method

   In mathematics and computer science, Horner's method (or Horner's scheme) is an algorithm for polynomial evaluation.Although named after William George Horner, this method is much older, as it has been attributed to Joseph-Louis Lagrange by Horner himself, and can be traced back many hundreds of years to Chinese and Persian mathematicians. [1]