Statements (55)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:theorem
|
| gptkbp:applies_to |
recursively enumerable languages
|
| gptkbp:conducts_research_on |
algorithmic randomness
|
| gptkbp:consequences |
the halting problem
|
| gptkbp:describes |
properties of computable functions
|
| gptkbp:has_implications_for |
program analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Rice's theorem
|
| gptkbp:illustrated_by |
examples of programming languages
|
| gptkbp:implies_that |
there is no algorithm to decide certain properties
|
| gptkbp:is_a_central_result_in |
the theory of computation
|
| gptkbp:is_a_foundation_for |
computational limits
the study of decidability |
| gptkbp:is_a_key_result_for |
understanding algorithmic processes
|
| gptkbp:is_a_significant_result_in |
the field of theoretical computer science
|
| gptkbp:is_a_subject_of |
mathematical logic
|
| gptkbp:is_a_theorem_that_applies_to |
any non-trivial property of functions
|
| gptkbp:is_a_theorem_that_can_be_applied_to |
database query languages
|
| gptkbp:is_a_theorem_that_has_implications_for |
gptkb:Artificial_Intelligence
|
| gptkbp:is_a_theorem_that_has_influenced |
the development of programming languages
|
| gptkbp:is_a_theorem_that_is_crucial_for |
understanding the nature of computation
|
| gptkbp:is_a_theorem_that_is_essential_for |
understanding computational theory
|
| gptkbp:is_a_theorem_that_is_foundational_for |
the study of algorithms
|
| gptkbp:is_a_theorem_that_is_often_included_in |
computer science curricula
|
| gptkbp:is_a_theorem_that_is_often_referenced_in |
discussions about computational limits
|
| gptkbp:is_a_theorem_that_is_often_used_to_explain |
the boundaries of algorithmic reasoning
|
| gptkbp:is_a_theorem_that_is_often_used_to_illustrate |
the concept of undecidability
|
| gptkbp:is_a_theorem_that_shows |
the limits of algorithmic solutions
|
| gptkbp:is_applied_in |
program termination
|
| gptkbp:is_associated_with |
functionals in computation
undecidability results |
| gptkbp:is_cited_in |
computational complexity discussions
|
| gptkbp:is_connected_to |
the concept of decidable languages
|
| gptkbp:is_discussed_in |
computational models
|
| gptkbp:is_fundamental_to |
computability theory
|
| gptkbp:is_often_discussed_in |
gptkb:Gödel's_incompleteness_theorems
|
| gptkbp:is_often_referenced_in |
academic papers on computability
|
| gptkbp:is_related_to |
Turing machines
|
| gptkbp:is_relevant_to |
software verification
|
| gptkbp:is_used_in |
theoretical computer science
|
| gptkbp:is_used_to_show_that |
certain questions cannot be algorithmically answered
|
| gptkbp:key_concept |
formal language theory
|
| gptkbp:legal_principle |
widely studied in academia
analyzed in various contexts applied in various fields applied in theoretical explorations. applied to real-world problems debated among theorists integrated into various theoretical frameworks examined in relation to other undecidability results |
| gptkbp:named_after |
gptkb:Henry_Gordon_Rice
|
| gptkbp:state |
non-trivial properties of total computable functions are undecidable
|
| gptkbp:was_a_demonstration_of |
the undecidability of certain problems
|
| gptkbp:was_proven_in |
1951
|
| gptkbp:bfsParent |
gptkb:Marjorie_Rice
|
| gptkbp:bfsLayer |
6
|