Extension of the decidability of the marked PCP to instances with unique blocks

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Extension of the decidability of the marked PCP to instances with unique blocks

In the Post Correspondence Problem (PCP) an instance (h, g) consists of two morphisms h and g, and the problem is to determine whether or not there exists a nonempty word w such that h(w) = g(w). Here we prove that the PCP is decidable for instances with unique blocks using the decidability of the marked PCP. Also, we show that it is decidable whether an instance satisfying the uniqueness condi...

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Decidability and Undecidability of Marked PCP

We show that the marked version of the Post Correspondence Problem, where the words on a list are required to di er in the rst letter, is decidable. On the other hand, if we only require the words to di er in the rst two letters, the problem remains undecidable. Thus we sharply locate the decidability/undecidability-boundary between marked and 2-marked PCP.

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2007

ISSN: 0304-3975

DOI: 10.1016/j.tcs.2007.03.024