Complexity
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In computational complexity theory , NP is one of the most fundamental complexity classes . The abbreviation NP refers to " nondeterministic polynomial time ." Intuitively, NP is the set of all decision problems for which the instances where the answer is "yes" have efficiently verifiable proofs of the fact that the answer is indeed "yes."
NP (complexity) - Wikipedia, the free encyclopedia
Complexity class - Wikipedia, the free encyclopedia
In computational complexity theory , a complexity class is a set of problems of related resource-based complexity. A typical complexity class has a definition of the form: the set of problems that can be solved by an abstract machine M using O (f( n )) of resource R, where n is the size of the input. For example, the class NP is the set of decision problems whose solutions can be determined by a non-deterministic Turing machine in polynomial time , while the class PSPACE is the set of decision problems that can be solved by a deterministic Turing machine in polynomial space . The simpler complexity classes are defined by the following factors:Computational complexity theory - Wikipedia, the free encyclopedia
Computational complexity theory is a branch of the theory of computation in theoretical computer science and mathematics that focuses on classifying computational problems according to their inherent difficulty, and relating those classes to each other. In this context, a computational problem is understood to be a task that is in principle amenable to being solved by a computer (which basically means that the problem can be stated by a set of mathematical instructions). Informally, a computational problem consists of problem instances and solutions to these problem instances.
An abstract machine , also called an abstract computer , is a theoretical model of a computer hardware or software system used in automata theory . Abstraction of computing processes is used in both the computer science and computer engineering disciplines and usually assumes discrete time paradigm . In the theory of computation , abstract machines are often used in thought experiments regarding computability or to analyze the complexity of algorithms ( see computational complexity theory ). A typical abstract machine consists of a definition in terms of input, output, and the set of allowable operations used to turn the former into the latter.
Abstract machine - Wikipedia, the free encyclopedia