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Decision problem

In computability theory and computational complexity theory, a decision problem is a computational problem that can be posed as a yes–no question on a set of input values. An example of a decision problem is deciding whether a given natural number is prime. Another example is the problem, "given two numbers x and y, does x evenly divide y?"

Complete problems, Function problems & Definition

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Overview

Definition

Examples

Decidability

Complete problems

Function problems

Optimization problems

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Map overview Semantic statistics

Decision problem

Nodes45
Edges44
Triples31
Avg. degree1.96
Density0.044444
Components1

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Decision problem

Top relations

related to Optimization problems · 7
Decision problem → By, For, Function, Optimization, The, This, Unlike
related to Complete problems · 5
Decision problem → Boolean, Complete, Decision, For, NP
is a · 4
Decision problem → algorithmic method that answers the yes-no question on all inputs, computational problem that can be posed as a yes, formal language of all inputs for which the output, set of prime numbers
related to Decidability · 3
Decision problem → Problems, The, YES
related to Function problems · 3
Decision problem → Decision, NO, YES
related to Definition · 2
Decision problem → These, YES
related to Examples · 2
Decision problem → Although, It

Important terminology Word statistics

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Important terminology

decision problem problems function example decidable theory complexity computational given numbers set yes whether isbn optimization inputs undecidable natural answer

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Decision problemis acomputational problem that can be posed as a yes0.90text
Decision problemis aalgorithmic method that answers the yes-no question on all inputs0.90text
Decision problemis aformal language of all inputs for which the output0.90text
Decision problemis aset of prime numbers0.90text
Gödel numberinginstance ofusing an encoding0.80text
any string can be encoded as a natural numberinstance ofusing an encoding0.80text
via which a decision problem can be defined as a subset of the natural numbersinstance ofusing an encoding0.80text
polynomial-time reductionsinstance ofComplete problemsDecision problems can be ordered according to many-one reducibility and related to feasible reductions0.80text
operations researchinstance ofas well as in fields0.80text
Decision problemrelated to Complete problemsDecision0.60section
Decision problemrelated to Complete problemsComplete0.60section
Decision problemrelated to Complete problemsFor0.60section

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