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gptkbp:instance_of
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gptkb:Mathematics
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gptkbp:asks_whether_every_problem_whose_solution_can_be_quickly_verified_can_also_be_quickly_solved
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gptkb:true
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gptkbp:case_analysis
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complexity classes
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gptkbp:has_a_focus_on
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conferences and workshops
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gptkbp:has_a_solution_that_is_either
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P = NP or P ≠ NP
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gptkbp:has_been_proven_to_be
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NP-complete under certain conditions
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gptkbp:has_been_the_subject_of_many
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research papers
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gptkbp:has_implications_for
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gptkb:crypt
network theory
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gptkbp:has_implications_for_fields_such_as
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operations research
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gptkbp:has_implications_for_the_efficiency_of
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computational processes
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https://www.w3.org/2000/01/rdf-schema#label
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P vs NP problem
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gptkbp:is_a_foundational_question_for_understanding
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computational limits
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gptkbp:is_a_major_unsolved_problem_in
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gptkb:computer_science
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gptkbp:is_a_problem_that_has_been_analyzed_through
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various computational models
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gptkbp:is_a_problem_that_has_been_formalized_in_terms_of
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mathematical logic
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gptkbp:is_a_problem_that_has_been_linked_to
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the limits of computation
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gptkbp:is_a_problem_that_has_been_studied_for
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decades
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gptkbp:is_a_question_about_the_relationship_between
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P class and NP class
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gptkbp:is_a_question_that_can_be_approached_from
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multiple angles
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gptkbp:is_a_question_that_can_be_framed_in_terms_of
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decision problems
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gptkbp:is_a_question_that_has_been_addressed_by
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numerous researchers
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gptkbp:is_a_question_that_has_been_explored_in_relation_to
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gptkb:quantum_computing
algorithmic complexity
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gptkbp:is_a_question_that_has_been_explored_through
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various mathematical models
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gptkbp:is_a_question_that_has_been_the_subject_of
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intense scrutiny
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gptkbp:is_a_subject_of
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gptkb:Mathematician
theoretical computer science
computer scientists
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gptkbp:is_a_subject_of_ongoing_research_in
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algorithm theory
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gptkbp:is_a_topic_that_has_been_discussed_in_relation_to
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gptkb:machine_learning
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gptkbp:is_a_topic_that_has_generated_significant
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public interest
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gptkbp:is_associated_with
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reduction in complexity theory
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gptkbp:is_cited_in
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algorithm efficiency
computational feasibility
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gptkbp:is_connected_to_the_concept_of
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non-deterministic polynomial time
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gptkbp:is_considered_a_key_issue_in_the_field_of
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gptkb:Artificial_Intelligence
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gptkbp:is_considered_to_be
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one of the most important questions in theoretical computer science
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gptkbp:is_fundamental_to
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problem-solving capabilities of computers
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gptkbp:is_influenced_by
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gptkb:Software_Development
data security
optimization problems
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gptkbp:is_often_associated_with_the_work_of
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gptkb:John_Nash
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gptkbp:is_often_discussed_in
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algorithm design
the Church-Turing thesis
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gptkbp:is_often_illustrated_with_the_example_of
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the traveling salesman problem
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gptkbp:is_one_of_the_seven_millennium_prize_problems
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gptkb:true
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gptkbp:is_related_to
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complexity theory
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gptkbp:performance
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new algorithms
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gptkbp:proposed_by
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gptkb:Stephen_Cook
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gptkbp:topics
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computational complexity theory
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gptkbp:bfsParent
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gptkb:Stephen_Cook
gptkb:Hilbert's_Entscheidungsproblem
gptkb:multi-tape_Turing_machine
gptkb:non-deterministic_Turing_machine
gptkb:NP-completeness
gptkb:Turing_Machines
gptkb:Computers_and_Intractability:_A_Guide_to_the_Theory_of_NP-Completeness
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gptkbp:bfsLayer
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