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On a relation between uniform coding and problems of the form DTIMEF(F) =? DSPACEF(F)

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UNSPECIFIED (1998) On a relation between uniform coding and problems of the form DTIMEF(F) =? DSPACEF(F). ACTA INFORMATICA, 35 (8). pp. 665-672. ISSN 0001-5903

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Abstract

If uniform coding (Godelization) of potentially infinite sequences of numbers can be performed in PSPACEF, then PSPACE = EXPTIME not equal EXPSPACE = 2-EXPTIME, and, for all p, we have p-EXPSPACE = P + 1-EXPTIME; if it can be performed in LINSPACEF, we also have LINSPACE = DTIME(2(cx)); the proof fails, when relativized to oracle-TM's. A by-product of this research is that PTIMEF is not closed under number-theoretic, limited, course-of-values recursion.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Journal or Publication Title: ACTA INFORMATICA
Publisher: SPRINGER VERLAG
ISSN: 0001-5903
Date: August 1998
Volume: 35
Number: 8
Number of Pages: 8
Page Range: pp. 665-672
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/15405

Data sourced from Thomson Reuters' Web of Knowledge

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