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Computational complexity theory and DTIME

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Computational complexity theory and DTIME

Computational complexity theory vs. DTIME

Computational complexity theory is a branch of the theory of computation in theoretical computer science that focuses on classifying computational problems according to their inherent difficulty, and relating those classes to each other. In computational complexity theory, DTIME (or TIME) is the computational resource of computation time for a deterministic Turing machine.

Similarities between Computational complexity theory and DTIME

Computational complexity theory and DTIME have 12 things in common (in Unionpedia): Algorithm, Alternating Turing machine, Complexity class, Computational problem, Decision problem, EXPTIME, Non-deterministic Turing machine, NTIME, P (complexity), Time complexity, Time hierarchy theorem, Turing machine.

Algorithm

In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.

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Alternating Turing machine

In computational complexity theory, an alternating Turing machine (ATM) is a non-deterministic Turing machine (NTM) with a rule for accepting computations that generalizes the rules used in the definition of the complexity classes NP and co-NP.

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Complexity class

In computational complexity theory, a complexity class is a set of problems of related resource-based complexity.

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Computational problem

In theoretical computer science, a computational problem is a mathematical object representing a collection of questions that computers might be able to solve.

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Decision problem

In computability theory and computational complexity theory, a decision problem is a problem that can be posed as a yes-no question of the input values.

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EXPTIME

In computational complexity theory, the complexity class EXPTIME (sometimes called EXP or DEXPTIME) is the set of all decision problems that have exponential runtime, i.e., that are solvable by a deterministic Turing machine in O(2p(n)) time, where p(n) is a polynomial function of n. In terms of DTIME, We know and also, by the time hierarchy theorem and the space hierarchy theorem, that so at least one of the first three inclusions and at least one of the last three inclusions must be proper, but it is not known which ones are.

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Non-deterministic Turing machine

In theoretical computer science, a Turing machine is a theoretical machine that is used in thought experiments to examine the abilities and limitations of computers.

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NTIME

In computational complexity theory, the complexity class NTIME(f(n)) is the set of decision problems that can be solved by a non-deterministic Turing machine which runs in time O(f(n)).

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P (complexity)

In computational complexity theory, P, also known as PTIME or DTIME(nO(1)), is a fundamental complexity class.

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Time complexity

In computer science, the time complexity is the computational complexity that describes the amount of time it takes to run an algorithm.

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Time hierarchy theorem

In computational complexity theory, the time hierarchy theorems are important statements about time-bounded computation on Turing machines.

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Turing machine

A Turing machine is a mathematical model of computation that defines an abstract machine, which manipulates symbols on a strip of tape according to a table of rules.

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The list above answers the following questions

Computational complexity theory and DTIME Comparison

Computational complexity theory has 164 relations, while DTIME has 23. As they have in common 12, the Jaccard index is 6.42% = 12 / (164 + 23).

References

This article shows the relationship between Computational complexity theory and DTIME. To access each article from which the information was extracted, please visit:

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