Name
Title | ||
|---|---|---|
Non-Isometric Contextual Array Grammars and the Role of Regular Control and Local Selectors. |
Abstract | ||
|---|---|---|
We consider the external variant of non-isometric d-dimensional contextual array grammars with regular control together with local selectors allowing for controlling how d-dimensional arrays are evolving by adjoining rectangular (d - 1)-dimensional arrays. In the 1-dimensional case, the computational power of these non-isometric contextual array grammars with regular control and local selectors equals the computational power of isometric contextual array grammars with regular control. The string images of the languages of 1-dimensional arrays generated by these contextual array grammars exactly yield the linear languages. In the more-dimensional case, non-isometric d-dimensional contextual array grammars with regular control and local selectors can simulate the computations of (d - 1)-dimensional array grammars or Turing machines. Hence, for example, the emptiness problem for non-isometric d-dimensional contextual array grammars with regular control and local selectors for d > 1 is undecidable. We also compare the computational power of all variants of non-isometric d-dimensional contextual array grammars that we introduce to each other. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.3233/FI-2017-1582 | FUNDAMENTA INFORMATICAE |
Keywords | Field | DocType |
Array languages,isometric versus non-isometric variants,contextual grammars | Rule-based machine translation,Discrete mathematics,Algebra,Artificial intelligence,Isometric exercise,Mathematics | Journal |
Volume | Issue | ISSN |
155 | 1-2 | 0169-2968 |
Citations | PageRank | References |
1 | 0.36 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Henning Fernau | 1 | 1646 | 162.68 |
| Rudolf Freund | 2 | 1000 | 109.64 |
| Rani Siromoney | 3 | 459 | 76.25 |
| K. G. Subramanian | 4 | 339 | 59.27 |