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| Content Provider | Society for Industrial and Applied Mathematics (SIAM) |
|---|---|
| Author | Seiferas, Joel I. |
| Copyright Year | 1977 |
| Abstract | It is shown by simulation that every language accepted within time $n^d$ by a nondeter-ministic one-dimensional Turing machine is accepted in linear time by a nondeterministic d-dimensional iterative array. Conversely, every language accepted in linear time by such an iterative array is accepted within time $n^{d+1}$ by a nondeterministic one-dimensional Turing machine. It follows that the class of languages accepted in linear time by nondeterministic multidimensional iterative arrays is precisely Karps class NP, that nondeterministic $(d + 2)$-dimensional iterative arrays are more powerful than nondeterministic d-dimensional iterative arrays, and that nondeterministic two-dimensional iterative arrays are more powerful than the entire class of nondeterministic multidimensional Turing machines. Related deterministic results are surveyed and summarized for comparison. |
| Starting Page | 487 |
| Ending Page | 504 |
| Page Count | 18 |
| File Format | |
| ISSN | 00975397 |
| DOI | 10.1137/0206035 |
| e-ISSN | 10957111 |
| Journal | SIAM Journal on Computing (SMJCAT) |
| Issue Number | 3 |
| Volume Number | 6 |
| Language | English |
| Publisher | Society for Industrial and Applied Mathematics |
| Publisher Date | 2006-07-31 |
| Access Restriction | Subscribed |
| Subject Keyword | iterative array acceptor simulation Turing machine on-line time complexity off-line multidimensional cellular automaton nondeterminism |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics Computer Science |
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