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Compressibility of infinite binary sequences
dc.contributor.author | Balcázar Navarro, José Luis |
dc.contributor.author | Gavaldà Mestre, Ricard |
dc.contributor.author | Hermo Huguet, Montserrat |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Ciències de la Computació |
dc.date.accessioned | 2016-02-04T14:10:32Z |
dc.date.available | 2016-02-04T14:10:32Z |
dc.date.issued | 1996-02-06 |
dc.identifier.citation | Balcázar Navarro, José Luis; Gavaldà Mestre, Ricard; Hermo Huguet, Montserrat. "Compressibility of infinite binary sequences". 1996. |
dc.identifier.uri | http://hdl.handle.net/2117/82554 |
dc.description.abstract | It is known that infinite binary sequences of constant Kolmogorov complexity are exactly the recursive ones. Such a kind of statement no longer holds in the presence of resource bounds. Contrary to what intuition might suggest, there are sequences of constant, polynomial-time bounded Kolmogorov complexity that are not polynomial-time computable. This motivates the study of several resource-bounded variants in search for a characterization, similar in spirit, of the polynomial-time computable sequences. We propose some definitions, based on Kobayashi's notion of compressibility, and compare them to both the standard resource-bounded Kolmogorov complexity of infinite strings, and the uniform complexity. Some nontrivial coincidences and disagreements are proved. The resource-unbounded case is also considered. |
dc.format.extent | 18 p. |
dc.language.iso | eng |
dc.relation.ispartofseries | LSI-96-6-R |
dc.subject | Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica |
dc.subject.other | Kolmogorov complexity |
dc.subject.other | Infinite binary sequences |
dc.title | Compressibility of infinite binary sequences |
dc.type | External research report |
dc.rights.access | Open Access |
local.identifier.drac | 1837765 |
dc.description.version | Postprint (published version) |
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