Abstract
We have presented a new class of tree automata which can deal with several interpreted domains and which extends previous works on constrained tree automata and automata dealing with AC axioms. The proof used for the decision of emptiness in the multiset case is new and may have other applications. This approach is complementary of the approach in [BJ97] which deals with specifications involving equations between constructors but doesn't handle the domains that we consider. Future work will be to embed the previous approach of [LM94] in our class and to look for efficient implementation of tree automata algorithms with AC symbols similar to [Mon97].
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Lugiez, D. (1998). A good class of tree automata. Application to inductive theorem proving. In: Larsen, K.G., Skyum, S., Winskel, G. (eds) Automata, Languages and Programming. ICALP 1998. Lecture Notes in Computer Science, vol 1443. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0055071
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DOI: https://doi.org/10.1007/BFb0055071
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