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DLIN
In computational complexity theory, DLIN is the class of decision problems that can be solved by a multitape Turing machine A multi-tape Turing machine is a variant of the Turing machine that utilizes several tapes. Each tape has its own head for reading and writing. Initially, the input appears on tape 1, and the others start out blank. This model intuitively seems mu ... in linear time, ''O''(''n''). It is known that this class differs from its nondeterministic counterpart, NLIN., Theorem 3.9 References Structural complexity theory Complexity classes {{Comp-sci-theory-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
NLIN
In computational complexity theory, NLIN is the class of decision problems that can be solved by a nondeterministic multitape Turing machine in linear time, ''O''(''n''). It is known that this class differs from its deterministic counterpart, DLIN In computational complexity theory, DLIN is the class of decision problems that can be solved by a multitape Turing machine A multi-tape Turing machine is a variant of the Turing machine that utilizes several tapes. Each tape has its own head for r ...., Theorem 3.9 References Structural complexity theory Complexity classes {{Comp-sci-theory-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Computational Complexity Theory
In theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to their resource usage, and explores the relationships between these classifications. A computational problem is a task solved by a computer. A computation problem is solvable by mechanical application of mathematical steps, such as an algorithm. A problem is regarded as inherently difficult if its solution requires significant resources, whatever the algorithm used. The theory formalizes this intuition, by introducing mathematical models of computation to study these problems and quantifying their computational complexity, i.e., the amount of resources needed to solve them, such as time and storage. Other measures of complexity are also used, such as the amount of communication (used in communication complexity), the number of logic gate, gates in a circuit (used in circuit complexity) and the number of processors (used in parallel computing). O ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Multitape Turing Machine
A multi-tape Turing machine is a variant of the Turing machine that utilizes several tapes. Each tape has its own head for reading and writing. Initially, the input appears on tape 1, and the others start out blank. This model intuitively seems much more powerful than the single-tape model, but any multi-tape machine—no matter how many tapes—can be simulated by a single-tape machine using only quadratically more computation time. Thus, multi-tape machines cannot calculate any more functions than single-tape machines, and none of the robust complexity classes (such as polynomial time) are affected by a change between single-tape and multi-tape machines. Formal definition k -tape Turing machine can be formally defined as a 7-tuple M = \langle Q, \Gamma, b, \Sigma, \delta, q_0, F \rangle, following the notation of a Turing machine: * \Gamma is a finite, non-empty set of ''tape alphabet symbols''; * b \in \Gamma is the ''blank symbol'' (the only symbol allowed to occur on the ta ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Structural Complexity Theory
In computational complexity theory of computer science, the structural complexity theory or simply structural complexity is the study of complexity classes, rather than computational complexity of individual problems and algorithms. It involves the research of both internal structures of various complexity classes and the relations between different complexity classes.Juris Hartmanis, "New Developments in Structural Complexity Theory" (invited lecture), Proc. 15th International Colloquium on Automata, Languages and Programming, 1988 (ICALP 88), ''Lecture Notes in Computer Science'', vol. 317 (1988), pp. 271-286. History The theory has emerged as a result of (still failing) attempts to resolve the first and still the most important question of this kind, the P = NP problem. Most of the research is done basing on the assumption of P not being equal to NP and on a more far-reaching conjecture that the polynomial time hierarchy of complexity classes is infinite. Important results ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
