On two-way communication in cellular automata with a fixed number of cells
The effect of adding two-way communication to k cells one-way cellular automata (kC-OCAs) on their size of description is studied. kC-OCAs are a parallel model for the regular languages that consists of an array of k identical deterministic finite automata (DFAs), called cells, operating in parallel. Each cell gets information from its right neighbor only. In this paper, two models with different amounts of two-way communication are investigated. Both models always achieve quadratic savings when compared to DFAs. When compared to a one-way cellular model, the result is that minimum two-way communication can achieve at most quadratic savings whereas maximum two-way communication may provide savings bounded by a polynomial of degree k.
| Author: | Andreas Malcher |
|---|---|
| URN: | urn:nbn:de:hebis:30-71694 |
| ISSN: | 1616-9107 |
| Series (Serial Number) | Frankfurter Informatik-Berichte (03, 2) |
| Publisher: | Johann Wolfgang Goethe-Univ., Fachbereich Biologie und Informatik, Inst. für Informatik |
| Place of publication: | Frankfurt am Main |
| Document Type: | Working Paper |
| Language: | English |
| Year of Completion: | 2003 |
| Year of first Publication: | 2003 |
| Publishing Institution: | Univ.-Bibliothek Frankfurt am Main |
| Pagenumber: | IV, 12 S. |
| HeBIS PPN: | 21973075X |
| Institutes: | Informatik |
| Dewey Decimal Classification: | 004 Datenverarbeitung; Informatik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Veröffentlichungsvertrag für Publikationen ohne Print on Demand |
