2001 | OriginalPaper | Chapter
Time and Space Bounds for Reversible Simulation
Extended Abstract
Authors : Harry Buhrman, John Tromp, Paul Vitányi
Published in: Automata, Languages and Programming
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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We prove a general upper bound on the tradeoff between time and space that suffices for the reversible simulation of irreversible computation. Previously, only simulations using exponential time or quadratic space were known. The tradeoff shows for the first time that we can simultaneously achieve subexponential time and subquadratic space. The boundary values are the exponential time with hardly any extra space required by the Lange-McKenzie-Tapp method and the (log 3)th power time with square space required by the Bennett method. We also give the first general lower bound on the extra storage space required by general reversible simulation. This lower bound is optimal in that it is achieved by some reversible simulations.