• Corpus ID: 244920640

On Baker-Gill-Solovay Oracle Turing Machines and Relativization Barrier

@article{Lin2021OnBO,
  title={On Baker-Gill-Solovay Oracle Turing Machines and Relativization Barrier},
  author={Tianrong Lin},
  journal={ArXiv},
  year={2021},
  volume={abs/2112.03677}
}
This work analysis the so-called “Relativization Barrier” with respect to BakerGill-Solovay oracle Turing machine. We show that the diagonalization technique is a valid mathematical proof technique, but it has some prerequisites when referring to “Relativization barrier”. 
The Separation of NP and PSPACE
TLDR
This paper shows that NP 6= PSPACE via the premise of NTIME[S(n)] ⊆ DSPACE[S (n)], and then by diagonalization over all polynomial-time nondeterministic Turing machines via universal nondetergetic Turing machine M0 running in O(n ) space for any k ∈ N1.

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