A pumping lemma for flip-pushdown languages
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, 7th Non-Classical Models of Automata and Applications (NCMA-2015) , Tome 50 (2016) no. 4, pp. 295-311

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Flip-pushdown automata are pushdown automata with an extra ability to reverse the contents of the pushdown store. A generalisation of the pumping lemma for context-free languages is presented, which applies to the families of languages accepted by flip-pushdown automata with k pushdown flips, for an arbitrary constant k. The presented result gives rise to a new technique for disproving existence of flip-pushdown automata with a constant number of flips, which is significantly simpler compared to methods used for this purpose so far.

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DOI : 10.1051/ita/2016003
Classification : 68Q45
Keywords: Pumping lemma, flip-pushdown automaton, flip-pushdown language, reversal-generating context-free grammar
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     title = {A pumping lemma for flip-pushdown languages},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {295--311},
     publisher = {EDP-Sciences},
     volume = {50},
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     year = {2016},
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     zbl = {1362.68147},
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Kostolányi, Peter. A pumping lemma for flip-pushdown languages. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, 7th Non-Classical Models of Automata and Applications (NCMA-2015) , Tome 50 (2016) no. 4, pp. 295-311. doi: 10.1051/ita/2016003

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