Halting Problem

GPTKB entity

Statements (54)
Predicate Object
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