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Decision problem: Complete problems, Function problems & Definition

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?"

Language: English [EN]
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Decision problem topic overview

The analysis highlights Complete problems, Function problems and Definition as prominent areas in the source structure around Decision problem.

Related topics
37
Source areas
7
Connected nodes
44
Extracted relationships
31
Concept neighborhoods
25
Bridge connections
44

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 14 topics
Complete problems · 6 topics
Function problems · 6 topics
Definition · 5 topics
Optimization problems · 3 topics
Decidability · 2 topics
Examples · 1 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Definition

Examples

Decidability

Complete problems

Function problems

Optimization problems

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How Decision problem connects Entity context

The extracted context around Decision problem shows recurring relationship patterns in the source. For example, Decision problem → By, For, Function, Optimization, The, This, Unlike Another extracted example is Decision problem → Boolean, Complete, Decision, For, NP. Use these groups to spot repeated connection types before inspecting the individual relationships.

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

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

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

Decision problem relationships Subject–Predicate–Object triples

TTTA extracted 31 structured relationships around Decision problem. Examples in this analysis include Decision problem → is a → computational problem that can be posed as a yes and Decision problem → is a → algorithmic method that answers the yes-no question on all inputs. The table shows each extracted connection, where it came from and its confidence.

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

Related concept clusters Concept neighborhoods

The concept neighborhoods around Decision problem bring nearby vocabulary together. In this analysis, examples include Problem, Problems and Example. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Decision problem
    • Problem
    • Problems
    • Example
    • Function
    • Set
    • Decidable
    • Yes
    • Answer
    • Given
    • Numbers
    • Theory
    • Associated
  • decision problem
    • Problem
    • Problems
    • Example
    • Function
    • Set
    • Decidable
    • Numbers
    • Yes
    • Answer
    • Inputs
    • Given
    • Theory
  • computational problem
    • Theory
    • Example
    • Function
    • Set
    • Decidable
    • Problems
    • Numbers
    • Inputs
    • Yes
    • Given
    • Categorizes
    • Field
  • yes–no question
    • Answer
    • Given
    • Input
    • Inputs
    • Set
    • Decidable
    • Question
    • Yes
    • Optimization
    • Decision
    • Divide
    • Evenly
  • decidable
    • Answer
    • Example
    • Inputs
    • Yes
    • Numbers
    • Set
    • Problem
    • Divide
    • Evenly
    • Decision
    • Efficient
    • Two
  • halting problem
    • Example
    • Function
    • Set
    • Decidable
    • Problems
    • Numbers
    • Inputs
    • Yes
    • Given
    • Associated
    • Answer
    • Every
  • boolean satisfiability problem
    • Example
    • Function
    • Set
    • Decidable
    • Problems
    • Numbers
    • Inputs
    • Yes
    • Given
    • Associated
    • Answer
    • Every
  • function problem
    • Example
    • Function
    • Problem
    • Set
    • Associated
    • Decidable
    • Problems
    • Numbers
    • Given
    • Optimization
    • Inputs
    • Yes

Connections between topic areas Semantic bridges

For Decision problem, one of the stronger structural bridges in this analysis connects Decision problem with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Decision problem — Overview · splits 30 ⟂ 15
Decision problem — Complete problems · splits 38 ⟂ 7
Decision problem — Function problems · splits 38 ⟂ 7
Decision problem — Definition · splits 39 ⟂ 6
Decision problem — Optimization problems · splits 41 ⟂ 4
Decision problem — Decidability · splits 42 ⟂ 3

Map overview Semantic statistics

Decision problem

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

Source & methodology

TTTA analyzes the structure around Decision problem to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Complete problems, Function problems & Definition, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Decision problem · EN edition · Analysis: TopicsToTalkAbout

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