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Software Testing Verification and Validation Workshop, IEEE International Conference on (2010)
Paris, France
Apr. 6, 2010 to Apr. 10, 2010
ISBN: 978-0-7695-4050-4
pp: 343-348
ABSTRACT
Tree automata turned out to be a very convenient framework for modeling and proving properties on infinite systems like communication protocols, Java programs and also in the context of XML programming. Unfortunately, these works are not always supported by efficient verification and validation tools. This paper investigates the use of two SAT solvers --- MiniSat and picoSat --- to evaluate queries over tree automata with global equality and disequality constraints (TAGEDs for short). Unlike general tree automata, TAGEDs allow to express constraints useful for e.g., evaluating queries over XML documents, like 'in the document, two nodes do not have the same key'. These queries being based on the membership problem which is NP-complete for TAGEDs, we propose an efficient SAT encoding of the membership problem for TAGEDs and we show its correctness and soundness. The paper reports on the experimental results, and implementation details are given.
INDEX TERMS
tree automata, TAGED, SAT encoding, membership problem, NP-complete
CITATION

P. Héam, V. Hugot and O. Kouchnarenko, "SAT Solvers for Queries over Tree Automata with Constraints," Software Testing Verification and Validation Workshop, IEEE International Conference on(ICSTW), Paris, France, 2010, pp. 343-348.
doi:10.1109/ICSTW.2010.17
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