Halting Problem

GPTKB entity

Statements (54)
Predicate Object
gptkbp:instance_of gptkb:legal_case
gptkbp:bfsLayer 4
gptkbp:bfsParent gptkb:Computable_Numbers
gptkbp:can_lead_to the concept of decidability
gptkbp:depicts the limits of computation
gptkbp:example an undecidable problem
gptkbp:exhibited_at limitations of algorithmic solutions
gptkbp:has_impact_on computability theory
gptkbp:has_programs gptkb:software_framework
https://www.w3.org/2000/01/rdf-schema#label Halting Problem
gptkbp:illustrated_by counterexamples
simple algorithms
a specific example program
gptkbp:is_a_framework_for theory of computation
a question of termination
gptkbp:is_a_solution_for gptkb:language
software engineering practices
automated reasoning
state machines
various programming paradigms
the limits of formal systems
the concept of non-computability
gptkbp:is_about determining if a program halts
gptkbp:is_analyzed_in formal proofs
computer security
computational models
logical frameworks
gptkbp:is_associated_with recursive functions
gptkbp:is_cited_in computer science literature
gptkbp:is_connected_to gptkb:Gödel's_incompleteness_theorems
gptkbp:is_described_as formal languages
gptkbp:is_discussed_in complexity classes
the context of AI safety
the limits of machine learning
gptkbp:is_explored_in philosophy of mathematics
the context of programming language theory
gptkbp:is_fundamental_to algorithm theory
gptkbp:is_often_associated_with Turing's work
discussions of algorithmic complexity
gptkbp:is_referenced_in the study of algorithms.
computer ethics discussions
gptkbp:is_related_to Turing machines
gptkbp:is_studied_in theoretical computer science
algorithm design
program verification
gptkbp:issues non-computable
gptkbp:key theoretical computer science
gptkbp:proposed_by gptkb:Alan_Turing
gptkbp:reduces other decision problems
gptkbp:related_concept the Church-Turing thesis
gptkbp:significance gptkb:Artificial_Intelligence
gptkbp:subject gptkb:computer_science
mathematical logic
gptkbp:survivability gptkb:theorem