Day_Reidenbach_Schneider_DLT13_final_version.pdf (336.64 kB)
On the dual post correspondence problem
conference contribution
posted on 2014-01-23, 14:36 authored by Joel DayJoel Day, Daniel Reidenbach, Johannes C. SchneiderThe Dual Post Correspondence Problem asks whether, for a given word α, there exists a pair of distinct morphisms σ, τ, one of which needs to be non-periodic, such that σ(α) = τ(α) is satisfied. This problem is important for the research on equality sets, which are a vital concept in the theory of computation, as it helps to identify words that are in trivial equality sets only. Little is known about the Dual PCP for words α over larger than binary alphabets. In the present paper, we address this question in a way that simplifies the usual method, which means that we can reduce the intricacy of the word equations involved in dealing with the Dual PCP. Our approach yields large sets of words for which there exists a solution to the Dual PCP as well as examples of words over arbitrary alphabets for which such a solution does not exist.
History
School
- Science
Department
- Computer Science
Citation
DAY, J.D., REIDENBACH, D. and SCHNEIDER, J.C., 2013. On the dual post correspondence problem. IN: Béal, M.P. and Carton, O. (eds). Developments in Language Theory: 17th International Conference, DLT 2013, Marne-la-Vallée, France, June 18-21, 2013, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 7907, pp.167-178.Publisher
© Springer-Verlag Berlin HeidelbergVersion
- AM (Accepted Manuscript)
Publication date
2013Notes
The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-642-38771-5_16ISBN
9783642387708;9783642387715ISSN
0302-9743eISSN
1611-3349Publisher version
Book series
Lecture Notes in Computer Science (LCNS);7907Language
- en