We shall show that it is decidable for binary instances of the Post Correspondence Problem whether the instance has an inΓΏnite solution. In this context, a binary instance (h; g) consists of two morphisms h and g with a common two element domain alphabet. An inΓΏnite solution ! is an inΓΏnite word ! =
The post correspondence problem over a unary alphabet
β Scribed by P Rudnicki; G.J Woeginger
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 375 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
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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