InforLorV4, Main, Exploration, bibRecord, 000616

On the information carried by programs about the objects they compute

Identifieur interne : 000616 ( Main/Exploration ); précédent : 000615; suivant : 000617

On the information carried by programs about the objects they compute

Auteurs : Mathieu Hoyrup [France] ; Cristobal Rojas [Chili]

Source :

RBID : Hal:hal-01067618

Abstract

In computability theory and computable analysis, finite programs can compute infinite objects. Presenting a computable object via any program for it, provides at least as much information as presenting the object itself, written on an infinite tape. What additional information do programs provide? We characterize this additional information to be any upper bound on the Kolmogorov complexity of the object. Hence we identify the exact relationship between Markov computability and Type-2 computability. We then use this relationship to obtain several results characterizing the computational and topological structure of Markov semidecidable sets.

Url:

https://hal.inria.fr/hal-01067618

Affiliations:

Links toward previous steps (curation, corpus...)

to stream Hal, to step Corpus: 003839
to stream Hal, to step Curation: 003839
to stream Hal, to step Checkpoint: 000598
to stream Main, to step Merge: 000616
to stream Main, to step Curation: 000616

Le document en format XML

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<front><div type="abstract" xml:lang="en">In computability theory and computable analysis, finite programs can compute infinite objects. Presenting a computable object via any program for it, provides at least as much information as presenting the object itself, written on an infinite tape. What additional information do programs provide? We characterize this additional information to be any upper bound on the Kolmogorov complexity of the object. Hence we identify the exact relationship between Markov computability and Type-2 computability. We then use this relationship to obtain several results characterizing the computational and topological structure of Markov semidecidable sets.</div>
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On the information carried by programs about the objects they compute

On the information carried by programs about the objects they compute

Source :

Abstract

Links toward previous steps (curation, corpus...)

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri