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The post correspondence problem over a unary alphabet
Institution:Department of Computing Science, University of Alberta Edmonton, Alberta, Canada T6G 2E8;Faculty of Mathematics, University of Twente P.O. Box 217, 7500 AE Enschede, The Netherlands
Abstract:We consider the problem of finding a shortest solution for the Post correspondence problem over a unary alphabet. We show that the complexity of this problem heavily depends on the representation of the input: the problem is NP-complete if the input is given in compact (logarithmic) form, whereas it becomes polynomially solvable if the input is encoded in unary.
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