Promise Problem: Computational Complexity Theory, Decision Problem, Hamiltonian Graph - Brossura

 
9786134617307: Promise Problem: Computational Complexity Theory, Decision Problem, Hamiltonian Graph

Sinossi

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In computational complexity theory, a promise problem is a generalization of a decision problem where the input is promised to belong to a subset of all possible inputs. Unlike decision problems, the yes instances (the inputs for which an algorithm must return yes) and no instances do not exhaust the set of all inputs. Intuitively, the algorithm has been promised that the input does indeed belong to set of yes instances or no instances. There may be inputs which are neither yes or no. If such an input is given to an algorithm for solving a promise problem, the algorithm is allowed to output anything. A decision problem can be associated with a language L subseteq {0,1}^*, where the problem is to accept all inputs in L and reject all inputs not in L.

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