Reversal Research Technical Report (Classic Reprint)

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Excerpt from Reversal Research Technical Report The importance of reversal complexity as a basic computational resource has only been recognized in recent years. It is intimately connected to parallel time complexity and circuit depth. In this paper, we develop some basic techniques necessary for establishing analogues of well known theorems on space and time complexity. Our main results are that for reversal-constructible functions s(n) z logn, and the first tape-reduction theorem. As applications of the tape reduction theorem, we prove a hierarchy theorem and show the existence of complete languages for reversal complexity. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.