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Applied Mathematics Letters
Volume 16, Issue 5, July 2003, Pages 723-727
 
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doi:10.1016/S0893-9659(03)00073-9    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2003 Published by Elsevier Science Ltd.

The post correspondence problem over a unary alphabet

P. RudnickiE-mail The Corresponding Author, * and G. J. WoegingerE-mail The Corresponding Author

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

Communicated by Dr. Masao Iri 
Available online 25 August 2003.

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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.

Author Keywords: Post correspondence problem; Computational complexity; NP-complete; Pseudopolynomial time algorithm

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