A Measure of Space for Computing over the Reals

نویسنده

  • Paulin Jacobé de Naurois
چکیده

We propose a new complexity measure of space for the BSS model of computation. We define LOGSPACEW and PSPACEW complexity classes over the reals. We prove that LOGSPACEW is included in NC 2 R ∩ PW , i.e. is small enough for being relevant. We prove that the Real Circuit Decision Problem is PR-complete under LOGSPACEW reductions, i.e. that LOGSPACEW is large enough for containing natural algorithms. We also prove that PSPACEW is included in PARR.

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تاریخ انتشار 2006