TY - UNPD A1 - Malcher, Andreas A1 - Mereghetti, Carlo A1 - Palano, Beatrice T1 - Sublinearly space bounded iterative arrays T2 - Frankfurter Informatik-Berichte ; Nr. 07,1 N2 - Iterative arrays (IAs) are a, parallel computational model with a sequential processing of the input. They are one-dimensional arrays of interacting identical deterministic finite automata. In this note, realtime-lAs with sublinear space bounds are used to accept formal languages. The existence of a proper hierarchy of space complexity classes between logarithmic anel linear space bounds is proved. Furthermore, an optimal spacc lower bound for non-regular language recognition is shown. Key words: Iterative arrays, cellular automata, space bounded computations, decidability questions, formal languages, theory of computation T3 - Frankfurter Informatik-Berichte - 07, 1 KW - iterative arrays KW - cellular automata KW - space bounded computations KW - decidability questions KW - formal languages KW - theory of computation Y1 - 2007 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/7189 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30-71726 SN - 1616-9107 PB - Johann Wolfgang Goethe-Univ., Fachbereich Informatik und Mathematik, Inst. für Informatik CY - Frankfurt am Main ER -