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Hypercomputation

Hypercomputation or super-Turing computation is a set of hypothetical models of computation that can provide outputs that are not Turing-computable. For example, a machine that could solve the halting problem would be a hypercomputer; so too would one that could correctly evaluate every statement in Peano arithmetic.

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State space

Models

Analysis of capabilities

Criticism

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Map overview Semantic statistics

Hypercomputation

Nodes70
Edges69
Triples110
Avg. degree1.97
Density0.028571
Components1

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Hypercomputation

Top relations

related to Further reading · 84
Hypercomputation → Academy, Advances, Aoun, Apostolos, Applied Mathematics, Archived, Are, Ashish, BF01888233, Boston, Building, Burgin, Church, Cite, CiteSeerX, Cockshott, Computability, Computation, Computing, Computing Beyond
related to Uncomputable inputs or black-box components · 11
Hypercomputation → Actor, By, Certain, Chaitin's, Dmytro Taranovsky, Similarly, There, These, This, Turing, Turing's
related to Analysis of capabilities · 9
Hypercomputation → Delta, For, Gold, Limiting-recursion, Many, Others, Pi, Sigma, Turing
related to Criticism · 5
Hypercomputation → Aran Nayebi, As, In, Martin Davis, This

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Important terminology

turing machine computation models machines problem doi time pdf halting would function finite computable functions systems 10 oracle model original

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
the halting probleminstance ofuncomputable functions0.80text
Hypercomputationrelated to Analysis of capabilitiesMany0.60section
Hypercomputationrelated to Analysis of capabilitiesOthers0.60section
Hypercomputationrelated to Analysis of capabilitiesFor0.60section
Hypercomputationrelated to Analysis of capabilitiesTuring0.60section
Hypercomputationrelated to Analysis of capabilitiesSigma0.60section
Hypercomputationrelated to Analysis of capabilitiesPi0.60section
Hypercomputationrelated to Analysis of capabilitiesLimiting-recursion0.60section
Hypercomputationrelated to Analysis of capabilitiesDelta0.60section
Hypercomputationrelated to Analysis of capabilitiesGold0.60section
Hypercomputationrelated to CriticismMartin Davis0.60section
Hypercomputationrelated to CriticismAs0.60section

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