gptkbp:instance_of
|
gptkb:Judge
|
gptkbp:can_be_expressed_in_terms_of
|
formal languages
|
gptkbp:depicts
|
the limits of computation
|
gptkbp:example
|
an undecidable problem
|
gptkbp:has_applications_in
|
gptkb:Software_Development
|
gptkbp:has_been_studied_in_relation_to
|
program verification
|
gptkbp:has_implications_for
|
gptkb:C_programming_language
computability theory
software engineering practices
automated reasoning
|
https://www.w3.org/2000/01/rdf-schema#label
|
Halting Problem
|
gptkbp:illustrated_by
|
a specific example program
|
gptkbp:is_a_foundation_for
|
theory of computation
|
gptkbp:is_a_fundamental_problem_in
|
algorithm theory
|
gptkbp:is_a_problem_that_can_be_analyzed_using
|
formal proofs
|
gptkbp:is_a_problem_that_can_be_expressed_in_terms_of
|
state machines
|
gptkbp:is_a_problem_that_can_be_framed_as
|
a question of termination
|
gptkbp:is_a_problem_that_can_be_illustrated_through
|
counterexamples
|
gptkbp:is_a_problem_that_can_be_illustrated_with
|
simple algorithms
|
gptkbp:is_a_problem_that_can_be_reduced_to
|
other decision problems
|
gptkbp:is_a_problem_that_can_be_related_to
|
the Church-Turing thesis
|
gptkbp:is_a_problem_that_has_been_analyzed_in_terms_of
|
computational models
logical frameworks
|
gptkbp:is_a_problem_that_has_been_discussed_in
|
the context of AI safety
|
gptkbp:is_a_problem_that_has_been_discussed_in_relation_to
|
the limits of machine learning
|
gptkbp:is_a_problem_that_has_been_explored_in
|
philosophy of mathematics
the context of programming language theory
|
gptkbp:is_a_problem_that_has_been_formalized_in
|
various programming paradigms
|
gptkbp:is_a_problem_that_has_been_proven_to_be
|
non-computable
|
gptkbp:is_a_problem_that_has_been_referenced_in
|
the study of algorithms.
computer ethics discussions
|
gptkbp:is_a_problem_that_has_been_studied_in_relation_to
|
algorithm design
|
gptkbp:is_a_problem_that_has_been_used_to_demonstrate
|
the limits of formal systems
|
gptkbp:is_a_problem_that_has_been_used_to_illustrate
|
the concept of non-computability
|
gptkbp:is_a_problem_that_leads_to
|
the concept of decidability
|
gptkbp:is_a_subject_of
|
mathematical logic
|
gptkbp:is_about
|
determining if a program halts
|
gptkbp:is_analyzed_in
|
computer security
|
gptkbp:is_associated_with
|
recursive functions
|
gptkbp:is_cited_in
|
computer science literature
|
gptkbp:is_connected_to
|
gptkb:Gödel's_incompleteness_theorems
|
gptkbp:is_discussed_in
|
complexity classes
|
gptkbp:is_often_associated_with
|
Turing's work
|
gptkbp:is_often_referenced_in
|
discussions of algorithmic complexity
|
gptkbp:is_related_to
|
Turing machines
|
gptkbp:is_significant_for
|
gptkb:Artificial_Intelligence
|
gptkbp:is_studied_in
|
theoretical computer science
|
gptkbp:is_undecidable
|
gptkb:true
|
gptkbp:key_concept
|
theoretical computer science
|
gptkbp:proposed_by
|
gptkb:Alan_Turing
|
gptkbp:topics
|
gptkb:computer_science
|
gptkbp:was_a_demonstration_of
|
limitations of algorithmic solutions
|
gptkbp:bfsParent
|
gptkb:Computable_Numbers
|
gptkbp:bfsLayer
|
4
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