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Tree Automata, (Dis-)Equality Constraints and Term Rewriting

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  • Sophie Tison
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6690)

Abstract

Connections between Tree Automata and Term Rewriting are now well known. Whereas tree automata can be viewed as a subclass of ground rewrite systems, tree automata are successfully used as decision tools in rewriting theory. Furthermore, applications, including rewriting theory, have influenced the definition of new classes of tree automata.

In this talk, we will first present a short and not exhaustive reminder of some fruitful applications of tree automata in rewriting theory. Then, we will focus on extensions of tree automata, specially tree automata with local or/and global (dis-)equality constraints: we will emphasize new results, compare different extensions, and sketch some applications.

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References

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    Barguñó, L., Creus, C., Godoy, G., Jacquemard, F., Vacher, C.: The emptiness problem for tree automata with global constraints. In: Proceedings of the 25th Annual IEEE Symposium on Logic in Computer Science, LICS, pp. 263–272. IEEE Computer Society, Los Alamitos (2010)Google Scholar
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    Filiot, E., Talbot, J.-M., Tison, S.: Tree automata with global constraints. Int. J. Found. Comput. Sci. 21(4), 571–596 (2010)CrossRefzbMATHGoogle Scholar
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Sophie Tison
    • 1
  1. 1.University Lille 1, Mostrare project, INRIA Lille Nord-Europe & LIFL (CNRS UMR8022)France

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