We continue the study of bottom-up unranked tree automata with equality and disequality constraints between direct subtrees. In particular, we show that the emptiness problem for the nondeterministic automata is decidable. In addition, we show that the universality problem, in contrast, is undecidable.
@InProceedings{loding_et_al:LIPIcs.FSTTCS.2009.2328, author = {L\"{o}ding, Christof and Wong, Karianto}, title = {{On Nondeterministic Unranked Tree Automata with Sibling Constraints}}, booktitle = {IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science}, pages = {311--322}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-13-2}, ISSN = {1868-8969}, year = {2009}, volume = {4}, editor = {Kannan, Ravi and Narayan Kumar, K.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2009.2328}, URN = {urn:nbn:de:0030-drops-23281}, doi = {10.4230/LIPIcs.FSTTCS.2009.2328}, annote = {Keywords: Unranked tree automata, equality and disequality constraints, monadic second-order logic} }
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