TY - UNPD A1 - Malcher, Andreas T1 - On the descriptional complexity of iterative arrays T2 - Frankfurter Informatik-Berichte ; Nr. 033 N2 - The descriptional complexity of iterative arrays (lAs) is studied. Iterative arrays are a parallel computational model with a sequential processing of the input. It is shown that lAs when compared to deterministic finite automata or pushdown automata may provide savings in size which are not bounded by any recursive function, so-called non-recursive trade-offs. Additional non-recursive trade-offs are proven to exist between lAs working in linear time and lAs working in real time. Furthermore, the descriptional complexity of lAs is compared with cellular automata (CAs) and non-recursive trade-offs are proven between two restricted classes. Finally, it is shown that many decidability questions for lAs are undecidable and not semidecidable. T3 - Frankfurter Informatik-Berichte - 03, 3 KW - Iteratives Array KW - Beschreibungskomplexität Y1 - 2003 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/7186 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30-71682 SN - 1616-9107 PB - Johann Wolfgang Goethe-Univ., Fachbereich Biologie und Informatik, Inst. für Informatik CY - Frankfurt am Main ER -