English

Multiway Storage Modification Machines

Artificial Intelligence 2021-11-15 v1 Computational Complexity

Abstract

We present a parallel version of Sch\"onhage's Storage Modification Machine, the Multiway Storage Modification Machine (MWSMM). Like the alternative Association Storage Modification Machine of Tromp and van Emde Boas, MWSMMs recognize in polynomial time what Turing Machines recognize in polynomial space. Falling thus into the Second Machine Class, the MWSMM is a parallel machine model conforming to the Parallel Computation Thesis. We illustrate MWSMMs by a simple implementation of Wolfram's String Substitution System.

Cite

@article{arxiv.2111.06757,
  title  = {Multiway Storage Modification Machines},
  author = {J. -M. Chauvet},
  journal= {arXiv preprint arXiv:2111.06757},
  year   = {2021}
}

Comments

15 pages, 6 figures

R2 v1 2026-06-24T07:36:24.294Z