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

نویسندگان

  • Salvatore Caporaso
  • Michele Zito
چکیده

If uniform coding (Gödelization) of potentially infinite sequences of numbers can be performed in PSPACEF, then PSPACE = EXPTIME 6= 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); 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.

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تاریخ انتشار 2004