We present a pumping lemma for the class of collapsible pushdown graphs of level 2. This pumping lemma even applies to epsilon-contractions of level 2 collapsible pushdown graphs. Our pumping lemma also improves the bounds of Hayashi's pumping lemma for indexed languages.
@InProceedings{kartzow:LIPIcs.CSL.2011.322, author = {Kartzow, Alexander}, title = {{A Pumping Lemma for Collapsible Pushdown Graphs of Level 2}}, booktitle = {Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL}, pages = {322--336}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-32-3}, ISSN = {1868-8969}, year = {2011}, volume = {12}, editor = {Bezem, Marc}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2011.322}, URN = {urn:nbn:de:0030-drops-32406}, doi = {10.4230/LIPIcs.CSL.2011.322}, annote = {Keywords: collapsible pushdown graph, epsilon-contraction, pumping lemma} }
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