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Explore the main themes, entities and connections around Halting problem. Start with the topic map, then use the sections below for research and deeper semantic analysis.
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History
19 related topics
Computability theory
34 related topics
Formalization
18 related topics
Background
17 related topics
Key facts & relationships
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Topics to explore
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Overview
- Computability theory Computability theory (computer science)
- Decision problem
- Computer program
- Alan Turing
- Undecidable Undecidable problem
- Algorithm
- Computability
- Definable Definable set
- Computable Computable function
- Turing machine
Background
- Turing-complete
- Programming languages Programming language
- Pseudocode
- Infinite loops Infinite loop
- Print "Hello, world!" "Hello, World!" program
- Event loops Event loop
- Real-time computing
- Rule of least power
- MISRA C
- SPARK SPARK (programming language)
- Rocq
- Interpreters Interpreter (computing)
- Linear bounded automata Linear bounded automaton
- Deterministic machines Deterministic system
- Deterministic program Deterministic algorithm
- Nondeterministic finite memory machines Nondeterministic Turing machine
- Enumerating Enumeration algorithm
History
- Alonzo Church
- Lambda-definable functions Lambda calculus
- Turing's proof
- David Hilbert
- Hilbert's problems
- International Congress of Mathematicians
- Peano axioms
- Emil Post
- Tag systems Tag system
- Marvin Minsky
- Entscheidungsproblem
- Kurt Gödel
- General recursive functions General recursive function
- Normal form Beta normal form
- J. Barkley Rosser
- Stephen Kleene
- Martin Davis Martin Davis (mathematician)
- Davis (1958) Halting problem
- Turing equivalent Turing reduction
Formalization
- Recursively enumerable
- Computation
- Markov algorithms Markov algorithm
- Post systems Post system
- Register machines Register machine
- Data type
- Formalism Formalism (mathematics)
- Alphabet
- Characters Character (computing)
- Numeral system
- Turing degree
- Christopher Strachey
- Proof by contradiction
- Total Total function
- Self-referential
- Enumeration
- Partial function
- Cantor's diagonal argument
Computability theory
- Reduce Reduction (complexity)
- Natural numbers Natural number
- Proposition
- Rice's theorem
- Gregory Chaitin
- Halting probability
- Probability
- Normal Normal number
- Transcendental number
- Defined Definable number
- Computed Computable number
- Church–Turing thesis
- Effective methods Effective method
- Oracle machines Oracle machine
- Physical processes Physical process
- Hypercomputer
- Human brain
- Model of computation
- Computer scientists Computer scientist
- Correctness proof Correctness (computer science)
- Heuristics Heuristic (computer science)
- Termination analysis
- Gödel numbering
- Brainfuck
- Universal Turing machine
- Kolmogorov complexity invariance bound Kolmogorov complexity
- Gödel's incompleteness theorems Gödel's incompleteness theorem
- Axiomatization
- Sound Soundness
- Consistency Consistency proof
Generalization
- RE-complete
- Arithmetical hierarchy
- Reduction Reduction (recursion theory)
- Degree of unsolvability
- Recursion theory
- Halt for every input Machine that always halts
- Primitive recursive
Advanced semantic analysis
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Map overview Semantic statistics
Number of nodes, edges, triples, density and central hubs. Use it to gauge the size and connectivity of the map.Halting problem
Nodes112
Edges111
Triples412
Avg. degree1.98
Density0.017857
Components1
How this topic connects Entity context
Quick relationship hints grouped by predicate. Useful for spotting recurring semantic connections around the current entity.See the strongest relationship patterns around the current topic before diving into the raw triples.
Halting problem
Top relations
related to References · 146
Halting problem → Abdulla, Addison-Wesley, Alan Turing, Algebraic Methods, Algorithms, Alonzo, American Journal, Amsterdam, An, An Unsolvable Problem, Andrew, Application, Archived, Automata Theory, Basic Papers, Bengt, Bibcode, Börger, Cf, Chapter
related to Further reading · 103
Halting problem → Appendices, August, Automata Theory, Bell Systems Tech, Bertrand Russell, Booth, Busy Beaver Programs, Busy-Beaver Programs, Cambridge, Cf, Chaitin, Cham, Chance, Chap, Chapel Hill, Chapter, Christian Schindelhauer, Computer Age, Computer Science, Consequences
related to Timeline · 56
Halting problem → Alan Turing's, Alonzo Church, An Unsolvable Problem, Application, April, At, Barkley Rosser, Bologna International Congress, Church, Church's, Control Systems Laboratory, David Hilbert, Decision Problem, Elementary Number Theory, Emil Post, Emil Post's, Entscheidungsproblem, Finite Combinatory Processes, Formulation, Gödel
related to Gödel's incompleteness theorems · 13
Halting problem → Assume, First Incompleteness Theorem, Gödel's, Gödel's First Incompleteness Theorem, In, It, Now, Since, So, The, Then, This, We
related to Approximations · 12
Halting problem → But, For, Given, However, Some, Then, There, These, This, Thus, Turing, Turing's
related to Origin of the halting problem · 10
Halting problem → Davis, Davis's, However, Kleene's, Many, Martin Davis, Rogers, The, Turing, Turing's
related to Computability theory · 8
Halting problem → Also, For, Here, If, It, Rice's, Rice's Theorem, The
related to Recognizing partial solutions · 8
Halting problem → However, PHS, PHSR, Pi, The, Then, There, To
related to background · 7
Halting problem → For, Given, In, The, This, Turing-complete, Turing-equivalent
related to Common pitfalls · 7
Halting problem → But, Consider, For, However, Interpreters, Such, The
Important terminology Word statistics
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Important terminology
problem halting program turing algorithm halt proof programs input machine halts machines function isbn computable whether computation given displaystyle numbers
Entity relationships Subject–Predicate–Object triples
Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Halting problem | is a | decision problem of | 0.90 | text |
| Halting problem | is a | decision problem about properties of computer programs on a fixed Turing-complete model of computation | 0.90 | text |
| Halting problem | is a | decision problem | 0.90 | text |
| MISRA C | instance of | These include languages | 0.80 | text |
| SPARK | instance of | These include languages | 0.80 | text |
| and Rocq | instance of | These include languages | 0.80 | text |
| halting on all inputs can also be reduced | instance of | harder problems | 0.80 | text |
| implying that PHS recognition is not only undecidable | instance of | harder problems | 0.80 | text |
| but higher in the arithmetical hierarchy | instance of | harder problems | 0.80 | text |
| specifically Π 2 0 | instance of | harder problems | 0.80 | text |
| Halting problem | related to Approximations | Turing's | 0.60 | section |
| Halting problem | related to Approximations | Turing | 0.60 | section |
No triples extracted yet.
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Connections between topic areas Semantic bridges
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